An Indian Journal FULL PAPER ABSTRACT KEYWORDS. Trade Science Inc. Research on scheme evaluation method of automation mechatronic systems

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1 [ype text] [ype text] [ype text] ISSN : Volume 0 Issue 6 Boechology 204 Ida Joural FULL PPER BIJ, 0(6, 204 [ ] Research o scheme evaluato method of automato mechatroc systems BSRC Che Bgse*, Hu Hual, Lu Shagpg Guagx College of Water Resources ad Electrc Power, Nag, Guagx, , (CHIN Emal: @qqcom I ths paper, we vestgate the multple attrbute group decso mag (MGDM problems for for scheme evaluato method of automato mechatroc systems wth tutostc fuzzy formato We utlze the tutostc fuzzy weghted average (IFW operator to aggregate the tutostc fuzzy formato correspodg to each alteratve ad get the overall value of the alteratves, the ra the alteratves ad select the most desrable oe (s accordg to the score fucto ad accuracy fucto Fally, a llustratve example s gve KEYWORDS Multple attrbute group decso-mag (MGDM; Itutostc fuzzy umbers; Itutostc fuzzy weghted average (IFW operator; utomato mechatroc systems rade Scece Ic

2 9272 Research o scheme evaluato method of automato mechatroc systems BIJ, 0(6 204 INRODUCION oday the developmet of mechatrocs products ad systems s mostly based o experece ad sll, therefore t s mportat to study the mechatrocs theory deeply ad to drect the desg by meas of ute mechatrocs theory for ehacg the mechatrocs desg herefore, the ssues of scheme evaluato of automato mechatroc systems have bee of great cocer each coutry ad especally dustry requremets May authors explcated the formato-cotet based optmalty of mechatroc system scheme ad appled the basc prcples of axom desg (formato axom partcular to the optmalty process of mechatroc system scheme, ad aalyzed thoroughly the determaces ubqutous the deg process ag to accout the qualtatve ad quattatve attrbutes ad the tme-varable ature of the fucto ad state of mechatroc system, Xu [] preseted a set of cocepts, such as formato-cotet based fucto, desg parameter, mechatroc rato ad cotrol effcecy hey also proposed a seres of prcples for optmal scheme geerato of mechatroc system, such as tme-doma parameter cotrol prcple, maxmum formato optmalty prcple, ad maxmum cotrol effcecy prcple, so as to proffer a ew desg drecto to effectvely mprove the performace of mechatroc systems hs paper presets a ew model, whch s based o the tutostc fuzzy formato processg [2-0], for dealg wth the scheme evaluato of automato mechatroc systems he remader of ths paper s set out as follows I the ext secto, we troduce some basc cocepts related to tutostc fuzzy sets I Secto 3 we troduce the multple attrbute group decso mag (MGDM problems deal wth scheme evaluato problems of automato mechatroc systems, whch the formato about attrbute weghts ad expert weght s completely ow, ad the attrbute values tae the form of tutostc fuzzy umbers We utlze tutostc fuzzy weghted average (FW operator to aggregate the tutostc fuzzy formato correspodg to each alteratve, ad the ra the alteratves ad select the most desrable oe (s I Secto 4, a llustratve example s poted out I Secto 5 we coclude the paper ad gve some remars PRELIMINRIES I the followg, we troduce some basc cocepts related to IFS Defto IFS X s gve by {, μ(, ν ( } x x x x X ( where μ : X [ 0,] ad : X [ 0,] ( x ν ( x 0 μ +, x X he umbers μ ( x ad ( x ν, wth the codto ν represet, respectvely, the membershp degree ad o- membershp degree of the elemet x to the set [3-4] a% μ, ν be a tutostc fuzzy umber, a score fucto S of a tutostc fuzzy value Defto 2 Let ( ca be represeted as follows [5] : (%, S( a%, [ ] S a μ ν (2 Defto 3 Let a ( μ, ν be represeted as follows [6] : % be a tutostc fuzzy umber, a accuracy fucto H of a tutostc fuzzy value ca (% +, H( a% [ 0,] H a μ ν to evaluate the degree of accuracy of the tutostc fuzzy value a% ( μ, ν, where H( a [ 0,] the value of H ( a%, the more the degree of accuracy of the tutostc fuzzy value a% (3 % he larger Based o the score fucto S ad the accuracy fucto H, Xu [7-8] gve a order relato betwee two tutostc fuzzy values, whch s defed as follows:

3 BIJ, 0(6 204 Che Bgse et al 9273 Defto 4 Let a% ( μ, ν ad a% 2 ( μ2, ν2 be two tutostc fuzzy values, ( ( % be the scores of a% ad b %, respectvely, ad let H( a% μ + ν ad H( a μ + ν s a μ ν degrees of a% ad b %, respectvely, the f S( a < S( b% the, ( f H( a H( b% %, the a% s smaller tha b %, deoted by a< b % % ad s a μ ν % be the accuracy % ; f S( a S( b% % % ; (2 f H( a% < H( b%, a% %, %, the a% ad b % represet the same formato, deoted by a b s smaller tha b %, deoted by a% < b % a% μ, ν,2, L, be a collecto of tutostc fuzzy values, ad let IFW: Q Q, f Defto 5 Let ( ( IFW ω, 2,,, ω ( a% a% L a% a% ( ω ω μ ν where (,, L, be the weght vector of a (, 2,, ω ω ω ω 2 s called the tutostc fuzzy weghted averagg (IFW operator [8] % L, ad ω > 0, ω (4, the IFW RESERCH ON SCHEME EVLUION MEHOD OF UOMION MECHRONIC SYSEMS WIH INUIIONISIC FUZZY INFORMION Let { L } be a dscrete set of alteratves, ad G { G G G },,, m 2, 2, L, be the set of attrbutes, ( L s the weghtg vector of the attrbute G (, 2, L,, where [ 0,] ω ω, ω2,, ω { L } be the set of decso maers, ν ( ν ν ν D D, D2,, Dt [ 0,] ν, t ( ( ( (, ω, ω Let, 2, L, be the weghtg vector of decso maers, wth ( ν Suppose that r% μ ν s the tutostc fuzzy decso matrx, where μ m m dcates the degree that the alteratve satsfes the attrbute degree that the alteratve does t satsfy the attrbute ( ( ν 0,, μ + ν,, 2, L, m,, 2, L,,, 2, L, t ( [ ] G gve by the decso maer G gve by the decso maer ( ( D, ν dcates the D, ( [ 0,] μ, I the followg, we apply the IFW operator to MGDM for scheme evaluato method of automato mechatroc systems wth tutostc fuzzy formato Step Utlze the decso formato gve matrx R %, ad the IFW operator whch has assocated weghtg vector w ( w, w, L, w 2 ( ( ( 2 ( t ( μ, ν IFW,,, r% r% r% L r%,, 2, L, m,, 2, L, (5 w to aggregate all the decso matrces R (, 2,, t { } % L to a collectve decso matrx R ( r m ν ν, ν2, L, νt be the weghtg vector of decso maers Step 2 Utlze the decso formato gve matrx R %, ad the IFW operator ( μν ( ω 2 % %, where r%, IFW r%, r%, L, r%,, 2, L, m (6

4 9274 Research o scheme evaluato method of automato mechatroc systems BIJ, 0(6 204 to derve the collectve overall preferece values r (, 2,, m % L of the alteratve ω ( ω, ω2, L, ω s the weghtg vector of the attrbutes Step 3 Calculate the scores Sr ( (, 2,, m r% (, 2, L, m to ra all the alteratves (, 2,, m dfferece betwee two scores ( S r%, the we eed to calculate the accuracy degrees ( S r% ad (, where % L of the collectve overall tutostc fuzzy preferece values L ad the to select the best oe (s (f there s o H r% ad ( H r% of the collectve overall tutostc fuzzy preferece values r% ad r%, respectvely, ad the ra the alteratves ad H r% ad ( accordace wth the accuracy degrees ( H r% Step 4 Ra all the alteratves (, 2,, m H ( r% (, 2, L, m L ad select the best oe (s accordace wth ( NUMERICL EXMPLE S r% ad I ths secto, we preset a emprcal case study of scheme evaluato of automato mechatroc systems he proect's am s to evaluate the best scheme of automato mechatroc systems he team of experts must tae a decso accordg to the followg fve attrbutes: G s the tme-doma parameter cotrol prcple; 2G 2 s the maxmum formato optmalty prcple; 3G 3 s the maxmum cotrol effcecy prcple; 4G 4 s the maxmum effcecy maagemet prcple; 5G 5 s the mmum cost prcple he four possble schemes of automato mechatroc systems (, 2, 3, 4 are to be evaluated usg the tutostc fuzzy umbers by the three decso maers (whose weghtg vector ν ( 035,040,025 uder the above four attrbutes (whose weghtg vector ω ( 020,00,025,030,05, ad costruct, respectvely, the decso matrces as lsted the followg matrces ( ( (, 2, 3 r% as follows: ( 03,06 ( 02,07 ( 06,02 ( 05,04 ( 06,03 ( 07,02 ( 04,05 ( 04,03 ( 07,03 ( 07,02 ( 05,03 ( 06,03 ( 07,0 ( 06,04 ( 05,04 ( 03,04 ( 02,06 ( 05,03 ( 08,0 ( 06,03 ( 0,06 ( 05,0 ( 04,03 ( 05,02 ( 02,05 ( 03,04 ( 03,02 ( 06,02 ( 06,0 ( 06,0 ( 05,02 ( 06,02 ( 05,03 ( 04,03 ( 04,02 ( 0,05 ( 04,02 ( 07,0 ( 05,02 ( 02,03 ( 0,08 ( 05,03 ( 04,05 ( 05,04 ( 02,07 ( 03,06 ( 03,04 ( 06,04 ( 06,03 ( 06,03 ( 05,04 ( 06,02 ( 05,05 ( 04,05 ( 04,04 ( 0,07 ( 04,04 ( 07,02 ( 05,04 ( 02,05 he, we utlze the approach developed to get the most desrable scheme of automato mechatroc systems

5 BIJ, 0(6 204 Che Bgse et al 9275 Step Utlze the decso formato gve matrx R %, ad the IFW operator whch has assocated weght w, we get a collectve decso matrx R ( r vector ( 02,045,035 R % % % as follows: ( 053,0664 ( 0488,027 ( 0474,033 ( 0533,0293 ( 039,0508 ( 0430,040 ( 0345,0306 ( 0604,0276 ( 0655,083 ( 0655,069 ( 0533,0276 ( 0635,027 ( 0579,0288 ( 0474,0380 ( 0450,0293 ( 053,0538 ( 0396,038 ( 0705,059 ( 062,0222 ( 039,0359 Step 2 Utlze the IFW operator, we obta the collectve overall preferece values r% of the schemes of automato mechatroc systems (, 2, 3, 4 ( 042,0375, ( 0579, 0247, ( 0529, 0302, ( 058, 027 r% r% r% r% Step 3 Calculate the scores Sr ( (, 2,3, 4 (, 2, 3, 4 r% (% (% (% (% Sr 0047, Sr 0332, Sr 0226, Sr m % of the collectve overall tutostc fuzzy preferece values Step 4 Ra all the schemes of automato mechatroc systems (, 2, 3, 4 S( r% (, 2, 3, 4 of the collectve overall tutostc fuzzy preferece values r (, 2,3,4 ad thus the most desrable scheme of automato mechatroc systems s 2 CONCLUSION accordace wth the scores % : f f f, Wth respect to the scheme evaluato method of automato mechatroc systems wth tutostc fuzzy formato, whch the formato about attrbute weghts ad expert weght s completely ow ad the attrbute values tae the form of tutostc fuzzy formato We develop a approach to scheme evaluato method of automato mechatroc systems wth tutostc fuzzy formato based o the IFW operator Fally, we have preseted a practcal case study of scheme evaluato method of automato mechatroc systems wth tutostc fuzzy formato to llustrate the proposed approach REFERENCES [] Yog, Xu Scheme Geerato ad Optmalty of Mechatroc Systems, Doctoral thess, Shagha Jaotog Uversty (2007 [2] PChag, KCHug; pplyg the fuzzy-weghted-average approach to evaluate etwor securty systems, Computers ad Mathematcs wth pplcatos, 49(5, (2005 [3] Ktaassov; Itutostc fuzzy sets, Fuzzy Sets ad Systems, 20(3, (986 [4] Ktaassov; More o tutostc fuzzy sets, Fuzzy Sets ad Systems, 33(5, (989 [5] SMChe, JMa; Hadlg multcrtera fuzzy decso-mag problems based o vague set theory, Fuzzy Sets ad Systems, 67(4, (994 [6] DHHog, CHCho; Multcrtera fuzzy problems based o vague set theory, Fuzzy Sets ad Systems, 4(3, 03-3 (2000 [7] ZSXu, RRYager; Some geometrc aggregato operators based o tutostc fuzzy sets, Iteratoal Joural of Geeral System, 35(6, (2006 [8] ZSXu; Itutostc fuzzy aggregato operators, IEEE rasatos o Fuzzy Systems, 5(6, (2007 [9] ZSXu; Models for multple attrbute decso-mag wth tutostc fuzzy formato, Iteratoal Joural of Ucertaty, Fuzzess ad Kowledge-Based Systems, 5(3, (2007 [0] GWWe; Some duced geometrc aggregato operators wth tutostc fuzzy formato ad ther applcato to group decso mag, ppled Soft Computg, 0(2, (200

An Indian Journal FULL PAPER ABSTRACT KEYWORDS. Trade Science Inc.

An Indian Journal FULL PAPER ABSTRACT KEYWORDS. Trade Science Inc. [Type text] [Type text] [Type text] ISSN : 0974-7435 Volume 10 Issue 16 BoTechology 2014 Ida Joural FULL PPER BTIJ, 10(16, 2014 [9253-9258] Model for evaluatg the qualty for dstace educato based o the