TWO NEW OPERATOR DEFINED OVER INTERVAL VALUED INTUITIONISTIC FUZZY SETS
|
|
- Jack Black
- 6 years ago
- Views:
Transcription
1 TWO NEW OPERATOR DEFINED OVER INTERVAL VALUED INTUITIONISTIC FUZZY SETS S. Sudharsan 1 2 and D. Ezhilmaran 3 1 Research Scholar Bharathiar University Coimbatore India. 2 Department of Mathematics C. Abdul Hakeem College of Engineering & Technology MelvisharamVellore Tamilnadu India. 3 School of Advanced Sciences VIT University Vellore Tamilnadu India. ABSTRACT In this paper two new Operator defined over IVIFSs were introduced which will be Multiplication of an IVIFS with and Multiplication of an IVIFS with the natural number are proved. Key Words: Intuitionistic fuzzy set Interval valued Intuitionistic fuzzy sets Operations over interval valued intuitionistic fuzzy sets. AMS CLASSIFICATION: 03E72 1. INTRODUCTION In 1965 Fuzzy sets theory was proposed by L. A. Zadeh[18]. In 1986 the concept of intuitionistic fuzzy sets (IFSs) as a generalization of fuzzy set were introduced by K. Atanassov[1]. After the introduction of IFS many researchers have shown interest in the IFS theory and applied in numerous fields such as pattern recognition machine learning image processing decision making and etc... In 1994 new operations defined over the intuitionistic fuzzy sets was proposed by K. Atanassov[3]. In 2000 Some operations on intuitionistic fuzzy sets were proposed by Supriya Kumar De Ranjit Biswas and Akhil Ranjan Roy[12]. In 2001 an application of intuitionistic fuzzy sets in medical diagnosis were proposed by Supriya Kumar De Ranjit Biswas and Akhil Ranjan Roy [13]. In 2006 n-extraction operation over intuitionistic fuzzy sets were proposed by B. Riecan and K. Atanassov[9]. In 2010 Operation division by n over intuitionistic fuzzy sets were proposed by B. Riecan and K. Atanassov [10]. In 2010 Remarks on equalities between intuitionistic fuzzy sets was K. Atanassov[4]. In 2008 properties of some IFS operators and operations were proposed by Liu Q Ma C and Zhou X [7]. In 2008 Four equalities connected with intuitionistic fuzzy sets was proposed by T. Vasilev [14]. In 2011 Intuitionistic fuzzy sets: Some new results were proposed by R. K. Verma and B. D. Sharma[15]. In 1989 the notion of Interval-Valued Intuitionistic Fuzzy Sets which is a generalization of both DOI : /ijfls
2 Intuitionistic Fuzzy Sets and Interval-Valued Fuzzy Sets were proposed by K. Atanassov and G. Gargov [5]. After the introduction of IVIFS many researchers have shown interest in the IVIFS theory and applied it to the various field. In 1994 Operators over interval-valued intuitionistic fuzzy sets was proposed by K. Atanassov[6]. In 2007 methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making was proposed by Z.S. Xu [17]. In 2007 Some geometric aggregation operators based on interval-valued intuitionistic fuzzy sets and their application to group decision making were proposed by G.W.Wei and X.R.Wang [16]. In 2012 Some Results on Generalized Interval-Valued Intuitionistic Fuzzy Sets were proposed by Monoranjan Bhowmik and Madhumangal Pal[8]. In 2013 Interval-Valued Intuitionistic Hesitant Fuzzy Aggregation Operators and Their Application in Group Decision- Making were proposed by Zhiming Zhang [19]. In 2014 new Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set were proposed by Broumi and Florentin Smarandache [11]. This paper proceeds as follows: In section 2 some basic definitions related to intuitionistic fuzzy sets interval valued intuitionistic fuzzy sets and set operations are introduced over the IVIFSs are presented. In section 3 two new operators and defined over IVIFSs are introduced and proved. In section 4 and 5 Conclusion and Acknowledgments are given. 2. PRELIMINARIES Definition 2.1: Intuitionistic Fuzzy Set [12]: An intuitionistic fuzzy set A in the finite universe X is defined as where : 01 and : 01 with the condition 0 sup sup 1 for any. The intervals and denote the degree of membership function and the degree of non-membership of the element x to the set A. Definition 2.2: Interval valued Intuitionistic Fuzzy Set [5]: An Interval valued intuitionistic fuzzy set A in the finite universe X is defined as A. The intervals and denote the degree of membership function and the degree of non-membership of the element x to the set A. For every and are closed intervals and their Left and Right end points are denoted by and.let us denote Where Especially if and then the given IVIFS A is reduced to an ordinary IFS. Let us define the empty IVIFS the totally uncertain IVIFS and the unit IVIFS by: Definition 2.2. Set operations on IVIFSs [5]: Let A and B be two IVIFSs on the universe X where 2
3 Here we define some set operations for IVIFSs: Where 1 is natural number. 3. TWO NEW OPERATOR AND DEFINED OVER IVIFS ARE INTRODUCED AND PROVED Two new Operators defined over IVIFS are introduced which will be an analogous as of Operations extraction as well as of operation Multiplication of an IVIFS with and Multiplication of an IVIFS with. It has the form for every IVIFS and for every natural number
4 Theorem 3.1. For any two IVIFSs A and B and for every natural number 1: Proof:
5 5 Hence is proved and similarly (b) is proved by analogy. Proof:
6 Hence is proved and similarly (d) is proved by analogy.
7 Theorem 3.2. For every IVIFS A and for every natural number 1:. ;. ;. ;.. Proof: (a) (3.1) (3.2) From (3.1) and (3.2) we get 1 1 Hence (a) is proved and similarly (b) is proved by analogy. Proof:
8 (3.3) (3.4) From (3.3) and (3.4) we get Hence is proved and similarly (d) is proved by analogy. Theorem 3.3. For any two IVIFSs A and B and for every natural number 1: Proof:
9 Hence (a) is proved and similarly (b) is proved by analogy. Proof: Hence (c) is proved and similarly (d) is proved by analogy. Theorem 3.4. For every IVIFS A and for every natural number 1: Proof
10 Hence (a) is proved. Proof
11 Hence (b) is proved. Theorem 3.5: For every IVIFS A and for every natural number n 1: (a). (b). Proof. (a)
12 Hence (a) is proved. Proof. (b) Hence (b) is proved. 4. CONCLUSION In this paper two new operators based IVIFS were introduced and few theorems were proved. In future the application of this operator will be proposed and another two operators based on IVIFS are to be introduced. 5. ACKNOWLEDGMENTS The authors are highly grateful to the Editor-in-Chief and Reviewer Professor Ayad Ghany Ismaeel and the referees for their valuable comments and suggestions. REFERENCES [1] K. Atanassov (1986) Intuitionistic fuzzy sets Fuzzy Sets & Systems. vol. 20 pp [2] K. Atanassov (1999) Intuitionistic Fuzzy Sets Springer Physica-Verlag Berlin. [3] K. Atanassov (1994) New operations defined over the intuitionistic fuzzy sets Fuzzy Sets &Systems vol.61 pp [4] K. Atanassov (2010) Remarks on equalities between intuitionistic fuzzy sets Notes on Intuitionistic Fuzzy Sets vol.16 no.3 pp
13 [5] K. Atanassov and G. Gargov(1989) Interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems vol. 31 pp [6] K. Atanassov (1994) Operators over interval-valued intuitionistic fuzzy sets Fuzzy Sets and Systems. vol. 64 no.2 pp [7] Q.Liu C. Ma and X. Zhou (2008) On properties of some IFS operators and operations Notes on Intuitionistic Fuzzy Sets Vol. 14 no.3 pp [8] Monoranjan Bhowmik and Madhumangal Pal(2012) Some Results on Generalized Interval-Valued Intuitionistic Fuzzy Sets International Journal of Fuzzy Systems vol. 14 no.2. [9] B. Riecan and K. Atanassov(2006) n-extraction operation over intuitionistic fuzzy sets Notes in Intuitionistic Fuzzy Sets vol 12 no.4 pp [10] B. Riecan and K. Atanassov(2010) Operation division by n over intuitionistic fuzzy sets Notes in Intuitionistic Fuzzy Sets vol. 16 no.4 pp [11] Said Broumi and Florentin Smarandache(2014) New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set Mathematics and Statistics vol. 2 no. 2 pp [12] Supriya Kumar De Ranjit Biswas and Akhil Ranjan Roy (2000) Some operations on intuitionistic fuzzy sets Fuzzy Sets and Systems vol. 114 no. 4 pp [13] Supriya Kumar De Ranjit Biswas and Akhil Ranjan Roy (2001) An application of intuitionistic fuzzy sets in medical diagnosis Fuzzy Sets & System vol. 117 no. 2 pp [14] T. Vasilev (2008) Four equalities connected with intuitionistic fuzzy sets Notes on Intuitionistic Fuzzy Sets vol. 14 no. 3 pp [15] R. K. Verma and B. D. Sharma (2011) Intuitionistic fuzzy sets: Some new results Notes on Intuitionistic Fuzzy Sets vol. 17 no. 3 pp [16] G. W. Wei and X. R. Wang (2007) Some geometric aggregation operators based on interval-valued intuitionistic fuzzy sets and their application to group decision making In Proceedings of the international conference on computational intelligence and security pp [17] Z. S. Xu (2007) Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making Control Decis. vol. 22 no.2 pp [18] L. A. Zadeh (1965) Fuzzy Sets Information & Control Vol.8 pp [19] Zhiming Zhang (2013) Interval-Valued Intuitionistic Hesitant Fuzzy Aggregation Operators and their application in Group Decision Making Journal of Applied Mathematics. 13
Multi attribute decision making using decision makers attitude in intuitionistic fuzzy context
International Journal of Fuzzy Mathematics and Systems. ISSN 48-9940 Volume 3, Number 3 (013), pp. 189-195 Research India Publications http://www.ripublication.com Multi attribute decision making using
ATANASSOV S INTUITIONISTIC FUZZY SET THEORY APPLIED TO QUANTALES
Novi Sad J. Math. Vol. 47, No. 2, 2017, 47-61 ATANASSOV S INTUITIONISTIC FUZZY SET THEORY APPLIED TO QUANTALES Bijan Davvaz 1, Asghar Khan 23 Mohsin Khan 4 Abstract. The main goal of this paper is to study
New Results of Intuitionistic Fuzzy Soft Set
New Results of Intuitionistic Fuzzy Soft Set Said Broumi Florentin Smarandache Mamoni Dhar Pinaki Majumdar Abstract In this paper, three new operations are introduced on intuitionistic fuzzy soft sets.they
ISSN: Received: Year: 2018, Number: 24, Pages: Novel Concept of Cubic Picture Fuzzy Sets
http://www.newtheory.org ISSN: 2149-1402 Received: 09.07.2018 Year: 2018, Number: 24, Pages: 59-72 Published: 22.09.2018 Original Article Novel Concept of Cubic Picture Fuzzy Sets Shahzaib Ashraf * Saleem
Generalized Triangular Fuzzy Numbers In Intuitionistic Fuzzy Environment
International Journal of Engineering Research Development e-issn: 2278-067X, p-issn : 2278-800X, www.ijerd.com Volume 5, Issue 1 (November 2012), PP. 08-13 Generalized Triangular Fuzzy Numbers In Intuitionistic
Group Decision Making Using Comparative Linguistic Expression Based on Hesitant Intuitionistic Fuzzy Sets
Available at http://pvamu.edu/aam Appl. Appl. Math. ISSN: 932-9466 Vol. 0, Issue 2 December 205), pp. 082 092 Applications and Applied Mathematics: An International Journal AAM) Group Decision Making Using
Some aspects on hesitant fuzzy soft set
Borah & Hazarika Cogent Mathematics (2016 3: 1223951 APPLIED & INTERDISCIPLINARY MATHEMATICS RESEARCH ARTICLE Some aspects on hesitant fuzzy soft set Manash Jyoti Borah 1 and Bipan Hazarika 2 * Received:
Cross-entropy measure on interval neutrosophic sets and its applications in Multicriteria decision making
Manuscript Click here to download Manuscript: Cross-entropy measure on interval neutrosophic sets and its application in MCDM.pdf 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 Cross-entropy measure on interval neutrosophic
Fuzzy Dot Subalgebras and Fuzzy Dot Ideals of B-algebras
Journal of Uncertain Systems Vol.8, No.1, pp.22-30, 2014 Online at: www.jus.org.uk Fuzzy Dot Subalgebras and Fuzzy Dot Ideals of B-algebras Tapan Senapati a,, Monoranjan Bhowmik b, Madhumangal Pal c a
On Intuitionitic Fuzzy Maximal Ideals of. Gamma Near-Rings
International Journal of Algebra, Vol. 5, 2011, no. 28, 1405-1412 On Intuitionitic Fuzzy Maximal Ideals of Gamma Near-Rings D. Ezhilmaran and * N. Palaniappan Assistant Professor, School of Advanced Sciences,
COMPUTATION OF SHORTEST PATH PROBLEM IN A NETWORK
COMPUTATION OF SHORTEST PATH PROBLEM IN A NETWORK WITH SV-TRIANGULAR NEUTROSOPHIC NUMBERS Florentin Smarandache Department of Mathematics, University of New Mexico,705 Gurley Avenue, fsmarandache@gmail.com
SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS
SHORTEST PATH PROBLEM BY MINIMAL SPANNING TREE ALGORITHM USING BIPOLAR NEUTROSOPHIC NUMBERS M. Mullaia, S. Broumib, A. Stephenc a Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India.
Correlation Coefficient of Interval Neutrosophic Set
Applied Mechanics and Materials Online: 2013-10-31 ISSN: 1662-7482, Vol. 436, pp 511-517 doi:10.4028/www.scientific.net/amm.436.511 2013 Trans Tech Publications, Switzerland Correlation Coefficient of
Chapter 2 Intuitionistic Fuzzy Clustering Algorithms
Chapter 2 Intuitionistic Fuzzy Clustering Algorithms Since the fuzzy set theory was introduced (Zadeh 1965), many scholars have investigated the issue how to cluster the fuzzy sets, and a lot of clustering
Intuitionistic Fuzzy Logic Control for Washing Machines
Indian Journal of Science and Technology, Vol 7(5), 654 661, May 2014 ISSN (Print) : 0974-6846 ISSN (Online) : 0974-5645 Intuitionistic Fuzzy Logic Control for Washing Machines Muhammad Akram *, Shaista
COSINE SIMILARITY MEASURE FOR ROUGH INTUITIONISTIC FUZZY SETS AND ITS APPLICATION IN MEDICAL DIAGNOSIS. H. Jude Immaculate 1, I.
International Journal of Pure and Applied Mathematics Volume 118 No. 1 018, 1-7 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu doi: 10.173/ijpam.v118i1.1
Neutrosophic Soft Multi-Set Theory and Its Decision Making
Neutrosophic Sets and Systems, Vol. 5, 2014 65 Neutrosophic Soft Multi-Set Theory and Its Decision Making Irfan Deli 1, Said Broumi 2 and Mumtaz Ali 3 1 Muallim Rıfat Faculty of Education, Kilis 7 Aralık
A risk attitudinal ranking method for interval-valued intuitionistic fuzzy numbers based on novel attitudinal expected score and accuracy functions
A risk attitudinal ranking method for interval-valued intuitionistic fuzzy numbers based on novel attitudinal expected score and accuracy functions Jian Wu a,b, Francisco Chiclana b a School of conomics
New Results of Intuitionistic Fuzzy Soft Set
I.J. Information Engineering and Electronic Business, 2014, 2, 47-52 Published Online April 2014 in MECS (http://www.mecs-press.org/) DOI: 10.5815/ijieeb.2014.02.06 New Results of Intuitionistic Fuzzy
Bulletin of the Transilvania University of Braşov Vol 10(59), No Series III: Mathematics, Informatics, Physics, 67-82
Bulletin of the Transilvania University of Braşov Vol 10(59), No. 1-2017 Series III: Mathematics, Informatics, Physics, 67-82 IDEALS OF A COMMUTATIVE ROUGH SEMIRING V. M. CHANDRASEKARAN 3, A. MANIMARAN
NEUTROSOPHIC PARAMETRIZED SOFT SET THEORY AND ITS DECISION MAKING
italian journal of pure and applied mathematics n. 32 2014 (503 514) 503 NEUTROSOPHIC PARAMETRIZED SOFT SET THEORY AND ITS DECISION MAING Said Broumi Faculty of Arts and Humanities Hay El Baraka Ben M
International Journal of Mathematics Trends and Technology (IJMTT) Volume 51 Number 5 November 2017
A Case Study of Multi Attribute Decision Making Problem for Solving Intuitionistic Fuzzy Soft Matrix in Medical Diagnosis R.Rathika 1 *, S.Subramanian 2 1 Research scholar, Department of Mathematics, Prist
Interval Valued Neutrosophic Parameterized Soft Set Theory and its Decision Making
ISSN: 1304-7981 Number: 7, Year: 2014, Pages: 58-71 http://jnrs.gop.edu.tr Received: 11.08.2014 Accepted: 21.08.2014 Editors-in-Chief: Naim Çağman Area Editor: Oktay Muhtaroğlu Interval Valued Neutrosophic
EXTENDED HAUSDORFF DISTANCE AND SIMILARITY MEASURES FOR NEUTROSOPHIC REFINED SETS AND THEIR APPLICATION IN MEDICAL DIAGNOSIS
http://www.newtheory.org ISSN: 2149-1402 Received: 04.04.2015 Published: 19.10.2015 Year: 2015, Number: 7, Pages: 64-78 Original Article ** EXTENDED HAUSDORFF DISTANCE AND SIMILARITY MEASURES FOR NEUTROSOPHIC
Ranking of Intuitionistic Fuzzy Numbers by New Distance Measure
Ranking of Intuitionistic Fuzzy Numbers by New Distance Measure arxiv:141.7155v1 [math.gm] 7 Oct 14 Debaroti Das 1,P.K.De 1, Department of Mathematics NIT Silchar,7881, Assam, India Email: deboritadas1988@gmail.com
Max-max operation on intuitionistic fuzzy matrix. Riyaz Ahmad Padder, P. Murugadas
Annals of Fuzzy Mathematics and Informatics Volume x, No. x, (Month 201y), pp. 1 xx ISSN: 2093 9310 (print version) ISSN: 2287 6235 (electronic version) http://www.afmi.or.kr @FMI c Kyung Moon Sa Co. http://www.kyungmoon.com
Research Article A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment
Mathematical Problems in Engineering Volume 206 Article ID 5950747 9 pages http://dx.doi.org/0.55/206/5950747 Research Article A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic
WEIGHTED NEUTROSOPHIC SOFT SETS APPROACH IN A MULTI- CRITERIA DECISION MAKING PROBLEM
http://www.newtheory.org ISSN: 2149-1402 Received: 08.01.2015 Accepted: 12.05.2015 Year: 2015, Number: 5, Pages: 1-12 Original Article * WEIGHTED NEUTROSOPHIC SOFT SETS APPROACH IN A MULTI- CRITERIA DECISION
ROUGH NEUTROSOPHIC SETS. Said Broumi. Florentin Smarandache. Mamoni Dhar. 1. Introduction
italian journal of pure and applied mathematics n. 32 2014 (493 502) 493 ROUGH NEUTROSOPHIC SETS Said Broumi Faculty of Arts and Humanities Hay El Baraka Ben M sik Casablanca B.P. 7951 Hassan II University
A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment
1 A New Approach for Optimization of Real Life Transportation Problem in Neutrosophic Environment A.Thamaraiselvi 1, R.Santhi 2 Department of Mathematics, NGM College, Pollachi, Tamil Nadu-642001, India
Normalized Hamming Similarity Measure for Intuitionistic Fuzzy Multi Sets and Its Application in Medical diagnosis
Normalized Hamming Similarity Measure for Intuitionistic Fuzzy Multi Sets and Its Application in Medical diagnosis *P. Rajarajeswari, **N. Uma * Department of Mathematics, Chikkanna Arts College, Tirupur,
Generalized Bipolar Neutrosophic Graphs of Type 1
20th International Conference on Information Fusion Xi'an, China - July 10-13, 2017 Generalized Bipolar Neutrosophic Graphs of Type 1 Said Broumi ssia Bakali Laboratory of Information Processing, Faculty
Self-Centered Single Valued Neutrosophic Graphs
nternational Journal of Applied Engineering Research SSN 0973-4562 Volume 2, Number 24 (207) pp 5536-5543 Research ndia Publications http://wwwripublicationcom Self-Centered Single Valued Neutrosophic
Multi-period medical diagnosis method using a single valued. neutrosophic similarity measure based on tangent function
*Manuscript Click here to view linked References 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 1 Multi-period medical diagnosis method using a single valued neutrosophic similarity measure based on tangent function
On some ways of determining membership and non-membership functions characterizing intuitionistic fuzzy sets
Sixth International Workshop on IFSs Banska Bystrica, Slovakia, 10 Oct. 2010 NIFS 16 (2010), 4, 26-30 On some ways of determining membership and non-membership functions characterizing intuitionistic fuzzy
The weighted distance measure based method to neutrosophic multi-attribute group decision making
The weighted distance measure based method to neutrosophic multi-attribute group decision making Chunfang Liu 1,2, YueSheng Luo 1,3 1 College of Science, Northeast Forestry University, 150040, Harbin,
Generalized Entropy for Intuitionistic Fuzzy Sets
Malaysian Journal of Mathematical Sciences 0(): 090 (06) MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES Journal homepage: http://einspem.upm.edu.my/journal Generalized Entropy for Intuitionistic Fuzzy Sets
Index Terms Vague Logic, Linguistic Variable, Approximate Reasoning (AR), GMP and GMT
International Journal of Computer Science and Telecommunications [Volume 2, Issue 9, December 2011] 17 Vague Logic in Approximate Reasoning ISSN 2047-3338 Supriya Raheja, Reena Dadhich and Smita Rajpal
A neutrosophic soft set approach to a decision making problem. Pabitra Kumar Maji
Annals of Fuzzy Mathematics and Informatics Volume 3, No. 2, (April 2012), pp. 313-319 ISSN 2093 9310 http://www.afmi.or.kr @FMI c Kyung Moon Sa Co. http://www.kyungmoon.com A neutrosophic soft set approach
-Complement of Intuitionistic. Fuzzy Graph Structure
International Mathematical Forum, Vol. 12, 2017, no. 5, 241-250 HIKRI Ltd, www.m-hikari.com https://doi.org/10.12988/imf.2017.612171 -Complement of Intuitionistic Fuzzy Graph Structure Vandana ansal Department
Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment
International Journal of General Systems, 2013 Vol. 42, No. 4, 386 394, http://dx.doi.org/10.1080/03081079.2012.761609 Multicriteria decision-making method using the correlation coefficient under single-valued
@FMI c Kyung Moon Sa Co.
Annals of Fuzzy Mathematics and Informatics Volume 5 No. 1 (January 013) pp. 157 168 ISSN: 093 9310 (print version) ISSN: 87 635 (electronic version) http://www.afmi.or.kr @FMI c Kyung Moon Sa Co. http://www.kyungmoon.com
Some weighted geometric operators with SVTrN-numbers and their application to multi-criteria decision making problems
Some weighted geometric operators with SVTrN-numbers and their application to multi-criteria decision maing problems Irfan Deli, Yusuf Şubaş Muallim Rıfat Faculty of Education, 7 Aralı University, 79000
Intuitionistic Hesitant Fuzzy Filters in BE-Algebras
Intuitionistic Hesitant Fuzzy Filters in BE-Algebras Hamid Shojaei Department of Mathematics, Payame Noor University, P.O.Box. 19395-3697, Tehran, Iran Email: hshojaei2000@gmail.com Neda shojaei Department
A new generalized intuitionistic fuzzy set
A new generalized intuitionistic fuzzy set Ezzatallah Baloui Jamkhaneh Saralees Nadarajah Abstract A generalized intuitionistic fuzzy set GIFS B) is proposed. It is shown that Atanassov s intuitionistic
Ilanthenral Kandasamy* Double-Valued Neutrosophic Sets, their Minimum Spanning Trees, and Clustering Algorithm
J. Intell. Syst. 2016; aop Ilanthenral Kandasamy* Double-Valued Neutrosophic Sets, their Minimum Spanning Trees, and Clustering Algorithm DOI 10.1515/jisys-2016-0088 Received June 26, 2016. Abstract: Neutrosophy
International Mathematical Forum, Vol. 7, 2012, no. 11, M. Asghari-Larimi
International Mathematical Forum, Vol. 7, 2012, no. 11, 531-538 Upper and Lower (α, β)- Intuitionistic Fuzzy Set M. Asghari-Larimi Department of Mathematics Golestan University, Gorgan, Iran asghari2004@yahoo.com
Iranian Journal of Fuzzy Systems Vol. 15, No. 1, (2018) pp
Iranian Journal of Fuzzy Systems Vol. 15, No. 1, (2018) pp. 139-161 139 A NEW APPROACH IN FAILURE MODES AND EFFECTS ANALYSIS BASED ON COMPROMISE SOLUTION BY CONSIDERING OBJECTIVE AND SUBJECTIVE WEIGHTS
COMPLEX NEUTROSOPHIC GRAPHS OF TYPE1
COMPLEX NEUTROSOPHIC GRAPHS OF TYPE1 Florentin Smarandache Department of Mathematics, University of New Mexico,705 Gurley Avenue, 1 Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache Laboratory
Soft Matrices. Sanjib Mondal, Madhumangal Pal
Journal of Uncertain Systems Vol7, No4, pp254-264, 2013 Online at: wwwjusorguk Soft Matrices Sanjib Mondal, Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar
Divergence measure of intuitionistic fuzzy sets
Divergence measure of intuitionistic fuzzy sets Fuyuan Xiao a, a School of Computer and Information Science, Southwest University, Chongqing, 400715, China Abstract As a generation of fuzzy sets, the intuitionistic
Properties of intuitionistic fuzzy line graphs
16 th Int. Conf. on IFSs, Sofia, 9 10 Sept. 2012 Notes on Intuitionistic Fuzzy Sets Vol. 18, 2012, No. 3, 52 60 Properties of intuitionistic fuzzy line graphs M. Akram 1 and R. Parvathi 2 1 Punjab University
More on Cartesian Products over Intuitionistic Fuzzy Sets
International Mathematical Forum, Vol. 7, 01, no. 3, 119-1133 More on Cartesian Products over Intuitionistic Fuzzy Sets Annie Varghese 1 Department of Mathematics St. Peter s College, Kolencherry Kerala,
Maejo International Journal of Science and Technology
Full Paper Maejo International Journal of Science and Technology ISSN 1905-7873 Available online at www.mijst.mju.ac.th Similarity measures between temporal intuitionistic fuzzy sets Omar H. Khalil 1,
Intuitionistic Hesitant Fuzzy VIKOR method for Multi-Criteria Group Decision Making
Inter national Journal of Pure and Applied Mathematics Volume 113 No. 9 2017, 102 112 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu ijpam.eu Intuitionistic
Exponential operations and aggregation operators of interval neutrosophic sets and their decision making methods
Ye SpringerPlus 2016)5:1488 DOI 10.1186/s40064-016-3143-z RESEARCH Open Access Exponential operations and aggregation operators of interval neutrosophic sets and their decision making methods Jun Ye *
Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology
eutrosophic Sets and Systems, Vol 7, 2015 18 Basic Structure of Some lasses of eutrosophic risp early Open Sets & Possible Application to GIS A A Salama Department of Mathematics and omputer Science, Faculty
Rough Neutrosophic Sets
Neutrosophic Sets and Systems, Vol. 3, 2014 60 Rough Neutrosophic Sets Said Broumi 1, Florentin Smarandache 2 and Mamoni Dhar 3 1 Faculty of Arts and Humanities, Hay El Baraka Ben M'sik Casablanca B.P.
Subalgebras and ideals in BCK/BCI-algebras based on Uni-hesitant fuzzy set theory
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 11, No. 2, 2018, 417-430 ISSN 1307-5543 www.ejpam.com Published by New York Business Global Subalgebras and ideals in BCK/BCI-algebras based on Uni-hesitant
Measure of Distance and Similarity for Single Valued Neutrosophic Sets with Application in Multi-attribute
Measure of Distance and imilarity for ingle Valued Neutrosophic ets ith pplication in Multi-attribute Decision Making *Dr. Pratiksha Tiari * ssistant Professor, Delhi Institute of dvanced tudies, Delhi,
Correlation Analysis of Intuitionistic Fuzzy Connectives
Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, Vol. 5, N. 1, 017. Trabalho apresentado no CNMAC, Gramado - RS, 016. Proceeding Series of the Brazilian Society of Computational
NEUTROSOPHIC VAGUE SOFT EXPERT SET THEORY
NEUTROSOPHIC VAGUE SOFT EXPERT SET THEORY Ashraf Al-Quran a Nasruddin Hassan a1 and Florentin Smarandache b a School of Mathematical Sciences Faculty of Science and Technology Universiti Kebangsaan Malaysia
New Similarity Measures for Intuitionistic Fuzzy Sets
Applied Mathematical Sciences, Vol. 8, 2014, no. 45, 2239-2250 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ams.2014.43171 New Similarity Measures for Intuitionistic Fuzzy Sets Peerasak Intarapaiboon
A Link between Topology and Soft Topology
A Link between Topology and Soft Topology M. Kiruthika and P. Thangavelu February 13, 2018 Abstract Muhammad Shabir and Munazza Naz have shown that every soft topology gives a parametrized family of topologies
Multiattribute decision making models and methods using intuitionistic fuzzy sets
Journal of Computer System Sciences 70 (2005) 73 85 www.elsevier.com/locate/css Multiattribute decision making models methods using intuitionistic fuzzy sets Deng-Feng Li Department Two, Dalian Naval Academy,
A Study on Vertex Degree of Cartesian Product of Intuitionistic Triple Layered Simple Fuzzy Graph
Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 13, Number 9 (2017), pp. 6525-6538 Research India Publications http://www.ripublication.com A Study on Vertex Degree of Cartesian Product
An Introduction to Fuzzy Soft Graph
Mathematica Moravica Vol. 19-2 (2015), 35 48 An Introduction to Fuzzy Soft Graph Sumit Mohinta and T.K. Samanta Abstract. The notions of fuzzy soft graph, union, intersection of two fuzzy soft graphs are
SOME OPERATIONS ON TYPE-2 INTUITIONISTIC FUZZY SETS
Journal of Computer Science and Cybernetics, V.28, N.3 (2012), 274283 SOME OPEATIONS ON TYPE-2 INTUITIONISTIC FUZZY SETS BUI CONG CUONG 1, TONG HOANG ANH, BUI DUONG HAI 1 Institute of Information Technology,
ON INTUITIONISTIC FUZZY SOFT TOPOLOGICAL SPACES. 1. Introduction
TWMS J. Pure Appl. Math. V.5 N.1 2014 pp.66-79 ON INTUITIONISTIC FUZZY SOFT TOPOLOGICAL SPACES SADI BAYRAMOV 1 CIGDEM GUNDUZ ARAS) 2 Abstract. In this paper we introduce some important properties of intuitionistic
A Study on Intuitionistic Fuzzy Number Group
International Journal of Fuzzy Mathematics and Systems. ISSN 2248-9940 Volume 2, Number 3 (2012), pp. 269-277 Research India Publications http://www.ripublication.com Study on Intuitionistic Fuzzy Number
A note on the Hausdorff distance between Atanassov s intuitionistic fuzzy sets
NIFS Vol. 15 (2009), No. 1, 1 12 A note on the Hausdorff distance between Atanassov s intuitionistic fuzzy sets Eulalia Szmidt and Janusz Kacprzyk Systems Research Institute, Polish Academy of Sciences
Liu s Generalized Intuitionistic Fuzzy Sets
iu s Generalized Intuitionistic Fuzzy Sets 測驗統計年刊第十八輯 iu s Generalized Intuitionistic Fuzzy Sets Hsiang-Chuan iu Department of Bioinformatics & Department of Psychology, sia University bstract In this
Spanning Tree Problem with Neutrosophic Edge Weights
Available online at www.sciencedirect.com ScienceDirect Procedia Computer Science 00 (08) 000 000 www.elsevier.com/locate/procedia The First International Conference On Intelligent Computing in Data Sciences
Rough Neutrosophic Digraphs with Application
axioms Article Rough Neutrosophic Digraphs with Application Sidra Sayed 1 Nabeela Ishfaq 1 Muhammad Akram 1 * ID and Florentin Smarandache 2 ID 1 Department of Mathematics University of the Punjab New
INTUITIONISTIC FUZZY TOPOLOGICAL SPACES
INTUITIONISTIC FUZZY TOPOLOGICAL SPACES A THESIS SUBMITTED TO THE NATIONAL INSTITUTE OF TECHNOLOGY, ROURKELA IN THE PARTIAL FULFILMENT FOR THE DEGREE OF MASTER OF SCIENCE IN MATHEMATICS BY SMRUTILEKHA
AN INTERVAL-VALUED PROGRAMMING APPROACH TO MATRIX GAMES WITH PAYOFFS OF TRIANGULAR INTUITIONISTIC FUZZY NUMBERS
Iranian Journal of Fuzzy Systems Vol. 11, No. 2, (2014) pp. 45-57 45 AN INTERVA-VAUED PROGRAMMING APPROACH TO MATRIX GAMES WITH PAYOFFS OF TRIANGUAR INTUITIONISTIC FUZZY NUMBERS D. F. I AND J. X. NAN Abstract.
Neutrosophic Goal Geometric Programming Problem based on Geometric Mean Method and its Application
Neutrosophic Sets and Systems, Vol. 19, 2018 80 University of New Mexico Neutrosophic Goal Geometric Programming Problem based on Geometric Sahidul Islam, Tanmay Kundu Department of Mathematics, University
Adrian I. Ban and Delia A. Tuşe
18 th Int. Conf. on IFSs, Sofia, 10 11 May 2014 Notes on Intuitionistic Fuzzy Sets ISSN 1310 4926 Vol. 20, 2014, No. 2, 43 51 Trapezoidal/triangular intuitionistic fuzzy numbers versus interval-valued
The Cosine Measure of Single-Valued Neutrosophic Multisets for Multiple Attribute Decision-Making
Article The Cosine Measure of Single-Valued Neutrosophic Multisets for Multiple Attribute Decision-Making Changxing Fan 1, *, En Fan 1 and Jun Ye 2 1 Department of Computer Science, Shaoxing University,
A Method for Solving Intuitionistic Fuzzy Transportation Problem using Intuitionistic Fuzzy Russell s Method
nternational Journal of Pure and Applied Mathematics Volume 117 No. 12 2017, 335-342 SSN: 1311-8080 (printed version); SSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special ssue ijpam.eu A
Intuitionistic Fuzzy Soft Matrix Theory
Mathematics and Statistics 1(2): 43-49 2013 DOI: 10.13189/ms.2013.010205 http://www.hrpub.org Intuitionistic Fuzzy Soft Matrix Theory Md.Jalilul Islam Mondal * Tapan Kumar Roy Department of Mathematics
TODIM Method for Picture Fuzzy Multiple Attribute Decision Making
INFORMATICA, 2018, Vol 29, No 3, 555 566 555 2018 Vilnius University DOI: http://dxdoiorg/1015388/informatica2018181 TODIM Method for Picture Fuzzy Multiple Attribute Decision Making Guiwu WEI School of
Correlation Coefficient of Simplified Neutrosophic Sets for Bearing Fault Diagnosis
Correlation Coefficient of Simplified Neutrosophic Sets for Bearing Fault Diagnosis Lilian Shi Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing,
A Novel Approach to Decision-Making with Pythagorean Fuzzy Information
mathematics Article A Novel Approach to Decision-Making with Pythagorean Fuzzy Information Sumera Naz 1, Samina Ashraf 2 and Muhammad Akram 1, * ID 1 Department of Mathematics, University of the Punjab,
A Study on Intuitionistic Multi-Anti Fuzzy Subgroups
A Study on Intuitionistic Multi-Anti Fuzzy Subgroups R.Muthuraj 1, S.Balamurugan 2 1 PG and Research Department of Mathematics,H.H. The Rajah s College, Pudukkotta622 001,Tamilnadu, India. 2 Department
First Order Non Homogeneous Ordinary Differential Equation with Initial Value as Triangular Intuitionistic Fuzzy Number
27427427427427412 Journal of Uncertain Systems Vol.9, No.4, pp.274-285, 2015 Online at: www.jus.org.uk First Order Non Homogeneous Ordinary Differential Equation with Initial Value as Triangular Intuitionistic
Uncertain Quadratic Minimum Spanning Tree Problem
Uncertain Quadratic Minimum Spanning Tree Problem Jian Zhou Xing He Ke Wang School of Management Shanghai University Shanghai 200444 China Email: zhou_jian hexing ke@shu.edu.cn Abstract The quadratic minimum
A study on vague graphs
DOI 10.1186/s40064-016-2892-z RESEARCH Open Access A study on vague graphs Hossein Rashmanlou 1, Sovan Samanta 2*, Madhumangal Pal 3 and R. A. Borzooei 4 *Correspondence: ssamantavu@gmail.com 2 Department
A NEW APPROACH TO SEPARABILITY AND COMPACTNESS IN SOFT TOPOLOGICAL SPACES
TWMS J. Pure Appl. Math. V.9, N.1, 2018, pp.82-93 A NEW APPROACH TO SEPARABILITY AND COMPACTNESS IN SOFT TOPOLOGICAL SPACES SADI BAYRAMOV 1, CIGDEM GUNDUZ ARAS 2 Abstract. The concept of soft topological
On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces
On Neutrosophic Semi-Open sets in Neutrosophic Topological Spaces P. Iswarya#1, Dr. K. Bageerathi*2 # Assistant Professor, Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur,
Intuitionistic Fuzzy Sets: Spherical Representation and Distances
Intuitionistic Fuzzy Sets: Spherical Representation and Distances Y. Yang, F. Chiclana Centre for Computational Intelligence, School of Computing, De Montfort University, Leicester LE1 9BH, UK Most existing
PAijpam.eu THE ZERO DIVISOR GRAPH OF A ROUGH SEMIRING
International Journal of Pure and Applied Mathematics Volume 98 No. 5 2015, 33-37 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu doi: http://dx.doi.org/10.12732/ijpam.v98i5.6
Neutrosophic Masses & Indeterminate Models.
Neutrosophic Masses & Indeterminate Models. Applications to Information Fusion Florentin Smarandache Mathematics Department The University of New Mexico 705 Gurley Ave., Gallup, NM 8730, USA E-mail: smarand@unm.edu
ARITHMETIC AGGREGATION OPERATORS FOR INTERVAL-VALUED INTUITIONISTIC LINGUISTIC VARIABLES AND APPLICATION TO MULTI-ATTRIBUTE GROUP DECISION MAKING
Iranian Journal of Fuzzy Systems Vol. 13, No. 1, (2016) pp. 1-23 1 ARITHMETIC AGGREGATION OPERATORS FOR INTERVAL-VALUED INTUITIONISTIC LINGUISTIC VARIABLES AND APPLICATION TO MULTI-ATTRIBUTE GROUP DECISION
Multi-attribute Group decision Making Based on Expected Value of Neutrosophic Trapezoidal Numbers
New Trends in Neutrosophic Theory and Applications. Volume II Multi-attribute Group decision Making Based on Expected Value of Neutrosophic Trapezoidal Numbers Pranab Biswas 1 Surapati Pramanik 2 Bibhas
Some Concepts on Constant Interval Valued Intuitionistic Fuzzy Graphs
IOS Journal of Mathematcs (IOS-JM) e-issn: 78-578, p-issn: 39-765X. Volume, Issue 6 Ver. IV (Nov. - Dec. 05), PP 03-07 www.osrournals.org Some Concepts on Constant Interval Valued Intutonstc Fuzzy Graphs
Intuitionistic Fuzzy Neutrosophic Soft Topological Spaces
ISSNOnlin : 2319-8753 ISSN Print : 2347-6710 n ISO 3297: 2007 ertified Organization Intuitionistic Fuzzy Neutrosophic Soft Topological Spaces R.Saroja 1, Dr..Kalaichelvi 2 Research Scholar, Department
Intuitionistic Fuzzy Semipre Generalized Connected Spaces
Intuitionistic Fuzzy Semipre Generalized Connected Spaces M. Thirumalaiswamy Department of Mathematics, NGM College, Pollachi-642001, Tamil Nadu, India K. M. Arifmohammed Department of Mathematics, NGM
Neutrosophic Linear Fractional Programming Problems
Neutrosophic Linear Fractional Programming Problems Excerpt from NEUTROSOPHIC OPERATIONAL RESEARCH, Volume I. Editors: Prof. Florentin Smarandache, Dr. Mohamed Abdel-Basset, Dr. Yongquan Zhou. Foreword
AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC
Iranian Journal of Fuzzy Systems Vol. 9, No. 6, (2012) pp. 31-41 31 AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC E. ESLAMI Abstract. In this paper we extend the notion of degrees of membership