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1 / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No * : *E-ail: bnahavandi@gmail. com. ). ( : anagement and Achievement 84//5 : 89/2/6 : Scientific-Research Journal Of Shahed University Seventeenth Year, No.4 Jun.-Jul / 22

2 ].[6..[3] (Büyüközkan) (Triangular Fuzzy Numbers. (TFNs)). (Super matrix). : [9] (Saaty).. (Quality Function Deployment (QFD)). (Customer Needs(CNs)) (Design Requirements(DRs)). (House of Quality(HoQ)).[]...[2]. (Analytic Hierarchy Process» [3] (AHP)) «(Voice of Customer (VoC))..[ ] / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4.. [9] (Analytic Network Process(ANP)). 4 / / 89 / 222

3 / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4.[2] :. [20]. [24]...[3] ()..[24].[3].. (Hamalainen and Seppalainen3032).[7] (ead and Sarkis) (Lee and Kim).[8].[20 9] (Sarkis).[2] (Chung) (Ravi) (Balanced Scorecard(BSC)).[22].[23] (Partovi). /.[0] 4 / / 89 /...[9] -. (Partovi and Coridoria) (Karsak).[] 223

4 - (Pairwise Comparison)..[25] (Saaty and Takizawa). W2. W 32.[24] I W هدف = 0 w w w 0 0 I () (). ()...[3]. -...[24]..... :. 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 4 / / 0 224

5 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 () : : :.[3] () ().. 2 : :. :2.w : :3.w2 : :4.w3 : :5.W4 : - : W = () 0 0 w W W : : : (2) W w W2. W 4 W 3. (Impact).[3] (Fuzzy-ANP)

6 - ). : ( x) : R [ 0, ] =(l, m, n µ µ 0 x < lorx > u ( x) = ( x l) /( m l), l x m ( x u) /( m u), m x u (3) u l l m u m l = m = u.. 2 :[27] + = ( +, +, + ) = ( l l, m m, u u ) λ = ( λ l, λ m, λ u ), λ > 0, λ R (,, ) u l m l m l m u u (4).[3]. w c =W 3 : :6. :7.W A= W 4 W2 : : :8 w.w ANP = W A W C.2 W 4 W 3W2 w... ( ) (Zadeh).[26].. (RI). ( 2 / 3,,2) ( / 2, 2 / 3,) ( 2 / 5, / 2, 2 / 3) ( / 3, 2 / 5, / 2) ( 2 / 7, / 3, 2 / 5) ( / 2,, 3 / 2) (, 3 / 2,2) ( 3 / 2,2, 5 / 2) (2, 5 / 2,3) ( 5 / 2,3, 7 / 2) 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 226

7 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 S k : m n m j = j S k gi j= gi i= j= i, j (6) k. m j= i m m j gi l, j m, j j i j i : m = u = = j= i j m j j = i gi j = gi l, j m, j u i= j= i j= i j= i j= i (7) : n m m m m (8) j : - (9) n m j =,, gi n n n i= j= i = ui i = mi i = l i S k. 2 : µ 2 = 2 µ V ( ) sup min( ( x), ( x) 2 (0) : V ( 2 2) = hgt( 2) = µ ( d) 2, if m2 m () = 0, if l u2 l u2 otherwise, ( m2 u2) ( m l) 2. V ( 2 ) V ( 2 ) k : V ( V [(,,..., ) and ( 2 k ) = 2 ) and... and ( k )] (Changs Extend Analysis Approach) w... [29] (Buckely) [28] (Laarhoven and Pedrycz).... [30] (Chang)..[3] (Kwong et al)..[32] (Bozdag et al).[33] (Büyüközkan et al).[34] :[35] X={ x x, 2,..., xn} U={u, u 2,..., un}.. g i m : W 4 W 3W2 ١gi, ٢gi,, mgi, i = ١,٢,,n (5) (j=,2...m,) jgi. 227

8 -.. : ' d ( A ) = minv ( s s ) i i k k =,2,..., n; k i (3). : ' ' ' ' ' ' T W = ( d ( A ), ( ),..., ( d A2 d An )) (4) 2.. i =,2,...,,n n Ai W ) :.( T W = ( d( A ), d( A ),..., d( )) (5) 2 An.. 3 (6). : S k...2 (DRs) (CNs) DR DR 2 DR 3 DR 4 DR 5 DR 6 DR 7 DR 8 DR 9 DR 0 DR DR 2 E* PVP PH ASH% = minv ( ), k =,2,..., n; k i CN CN 2 CN 3 CN 4 CN 5 CN 6 i (2) 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 228

9 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 W = W i = DR١ DR ٢ DR ٣ DR ۴ DR ۵ (0,897,, 0,997) t Wi W i.3 CN ١ CN ٢ CN ٣ CN ۴ CN ۵ CN ۶ DR ۶ : )0,0,35,0,3W= (. (atlab). --5 : 5. : :2 DR ٧ DR٨ S k = m n m i j j j gi j= gi = = =(7,5,9,06,2,28) - = (0,084,0,03,0,398) n m i= j= DR ٩ j gi DR ١٠ : S= (2,25,2,79,3,84) (0,084,0,03,0,398) = (0,83,0,307,0,5368) S2= (2,32,3,4,4,24) (0,084,0,03,0,398) = (0,880,0,3463,0,5927) DR١١ DR ١٢ S3= (2,58,3,3,4,24) (0,084,0,03,0,398) = (0,200,0,3452,0,6780) : ( 0) V ( S S2) = V ( ) = 0,9 ; S 2 S V ( S S 3) = V ( ) = 0,897 ; S 3 S V ( S 2 S 3) = V ( ) = ; S 3 S 2 0,997 (2) : S k S k V ( S S 2, S 3) = min (0,9,0,897) = 0,897 V ( S 2 S, S 3) = min (,) = V ( S 3 S, S 2) = min (,0,997)= 0,997. : W (4) 229

10 :4. :» « CN 4 CN 3 CN. ).( : W CN 0.34 CN CN W i = = CN CN5 0.0 CN W.. 6 :. :3...» : «/ / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 / W j 0,30 0,35 0,35 4 / / 89 " ".3 ASH% (0,620,7904) (0,63,44) () (0,63,4,65) () (0,69,59) ASH% () (0,60,87,59) (0,97,26,6) 230

11 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4.4-2W 0,5 0,7 0,27 0,26 0,25 0,09 ( E*) 2 0,2 0,8 0,6 3 0,7 0,5 0,4 4 0,06 0,3 0,25 0,06 0,08 5 0,08 0,0 0,3 6 0,07 0,09 0,3 7 0,75 8,00 PVP 9 PH 0 0,35 0,35 ASH% 2 ) " ".5 (. W j 0,54 0,43 0,03 (,652,52,66) (0,79,36,89) () (,36,962,5) () (0,530,74,26) () (0,40,50,74) (0,380,460,6).6 0,87 0,54,00 0,03 0,53,00,00 0,47 0,3 0,43 W 3 23

12 - W j 0,22 0,28 0,50 (0,430,550,76) (0,460,60,87) () :6. (w C ) :7. (W A ) :8. W ANP W A = W W 4 2 CN CN 2 CN 3 CN4 CN 5 CN 6 = 0/692 0/0473 0/635 0/0666 0/257 0/930 0/0286 0/0338 0/0409 0/06 0/338 0/85 0/068 0/846 0/58 0/0202 0/027 0/000 0/58 0/077 0/396 0/ "".7 (0,5,5) () (,4,652,5) DR 8 DR 0.5 0/000 /0000 0/33 0/2729 0/488 0/3467 0/0985 /.00 /.397 /.244 /.0782 /.536 0/565 /.047 /.0222 / /209 () (0,672) (,3,822,32) DR DR 2 DR 3 DR 4 DR 5 DR 6 DR 7 DR 9 DR 2 DR :5..» : 7 « / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 232

13 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No [3] DR 0/48 DR2 0/30 DR3 0/76 DR4 0/0977 DR 5 0/059 DR6 0/.765 ω AHP = W = = 3 W DR7 0/0735 DR8 0/0298 DR 9 0/276 DR0 DR 0/0043 DR 0/ CN 000/5293 CN 2 00/008 CN 3 00/0453 W = = = c W 3 W CN 4 0.0/2800 CN 5 00/0047 CN 6 0/226 ". 0,276 "PVP" 0,67 " ".. 06 "ASH% ω ANP 0/02 TR 0/044 TR2 0/63 TR3 0/0462 TR4 0/67 TR5 0/247 = W A WC = TR6 = 0/074 TR7 0/0567 TR8 0/276 TR 9 0/038 TR0 0/0020 TR 0/0006. "PVP" 0,48 " ".. "PH".. : 9 233

14 : (0/28) (0/34) (0/27) (0/04) (0/05).(0/0) : 8. ASH% 0,29 0,43 0,28,00 PH PVP ( E*) 0,44 0,54,00 0,47 0,40 0,78 0,4 0,56 0,33 0,53 0,37 0,22,00 0,26,00 0,23. 0,46 0,50 00,0 0,22 0,28 ( E*) 4W PVP PH ASH% 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 234

15 4 / / 89 / / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4.9 ١٢DR ١١DR ١٠DR ٩DR ٨DR ٧DR ٦DR ٥DR ٤DR ٣DR ٢DR ١DR 0/0043 0/0006 0/0043 0/0020 0/038 0/0276 0/276 0/0298 0/0567 0/0735 0/074 0/0765 0/ Hauser JR, Clausing D. (988) The house of quality. HBR; 66:pp Griffin H, Hauser JR. (993) The voice of the customer. arket Sci;2():pp Saaty TL. (980) The analytic hierarchy process. New York: cgraw-hill; pp Akao Y. (990) Quality function deployment: Integrating customer requirements into product design. Cambridge, A: Productivity Press; pp Armacost RT, Componation PJ, ullens A, Swart WW. (994) An AHP framework for prioritizing custom requirements in QFD: An industrialized housing application. IIE Trans ; 26(4):pp Doukas L, William PW, Jeyaratnam C. (995) Integrating quality factors into system design. In: Proc 995 IEEE Int Engineering anagement Conf, Singapore; pp Fukuda S, atsuura Y. (993) Prioritizing the customer s requirements by AHP for concurrent design. In: Design for manufacturability American Society of echanical Engineering, Design Engineering Division, Vol. 52. pp Xie, Goh TN, Xie W. (995) Prioritizing processes for better implementation of statistical process con- 0/0059 0/67 0/0977 0/0462 0/76 0/63 0/30 0/044 0/48 0/02 f- f- AHP AHP f-anp f- ANP.... :

16 - 22. Chung S H,Lee A H I,Pearn W L. (2005) Analytic network process (ANP) approach for product mix planning in semiconductors fabricator; International Journal of Production Economics; 96; pp Ravi V,Shankar R,Tiwari K. (2005) Analyzing alternatives in reverse logistics for end-of-life computers: ANP and balanced scorecard approach ;Computers&Industrial Engineering; 48; pp Saaty TL,Takizawa. (986) Dependence and independence: From linear hierarchies to nonlinear networks. Euro J Oper Res; 26:pp Saaty TL, Vargas LG. (998) Diagnosis with dependent symptoms: Bayes theorem and the analytic hierarchy process. Oper Res; 46(4):pp Zadeh LA. (965) Fuzzy sets. Inf Control; 8:pp Kaufmann A, Gupta. (99) Introduction to fuzzy arithmetic theory and applications. NewYork: Van Nostrand Reinhold; pp Van Laarhoven PJ, Pedrycz W. (983) A fuzzy extension of Saaty s priority theory. Fuzzy Sets Syst; :pp Buckley JJ. (985) Fuzzy hierarchical analysis. Fuzzy Sets Syst; 7:pp Chang D-Y. Extent analysis and synthetic decision. In: Phua PKH, Wang C, Yeong WY, Leong TY, Loh HT, Tan KC, Chou FS, editors. (992) Optimization Techniques and Applications, Vol.. Singapore: World Scientific. p 352. (38) ().3.25 : 32. Kwong CK, Bai H. (2003) Determining the importance weights for the customer requirements in QFD using a fuzzy AHP with an extent analysis approach. IIE Trans; 35:pp Bozdag CH, Kahraman C, Ruan D. (2003) Fuzzy group decision making for selection among computer integrated manufacturing systems. Comput Indust; 5();pp Bu yu ko zhan G, Kahraman C, Ruan D. (2003) A fuzzy multi-criteria decision approach for software development strategy selection. Int J Gen Syst. In press. trol techniques. In: Proc IEEE Annual Int Engineering anagement Conf. Singapore; pp Saaty TL. (996) Decision making with dependence and feedback: The analytic network process. RWS Publications: Pittsburgh; pp Partovi FY. (200) An analytic model to quantify strategic service vision. Int J Serv Indust anage;2(5):pp Partovi FY, Corredoira RA. (2002) Quality function deployment for the good of soccer. Eur J Oper Res;37(3):pp Karsak EE, Sozer S, Alptekin SE. (2002) Product planning in quality function deployment using a combined analytic network process and goal programming approach. Comput Indust Eng; 44:pp Bu yu ko zhan G,Ertay T Kahraman C. (2004) Determining the Importance Weights for the Design Requirements in the House of Quality using the Fuzzy Analytic network Approach. international journal of intelligent systems, vol. 9,pp Khoo LP, Ho NC. (996) Framework of a fuzzy quality function deployment system. Int J Prod Res;34:pp Fung RYK, Popplewell K, Xie J. (998) An intelligent hybrid system for customer requirement analysis and product attribute targets determination. Int J Prod Res; 36:pp Chan LK, Kao HP, Ng A, Wu L. (999) Rating the importance of customer needs in quality function deployment by fuzzy and entropy methods. Int J Prod Res; 37():pp Ha ma la inen RP, Seppa la inen TO. (986) The analytic network process in energy policy planning. Socioecon Plan Sci; 20(6):pp eade L, Sarkis J. (998) Strategic analysis of logistics and supply chain management systems using the analytical network process. Transport Res Part E Log Transport Rev; 34(3):pp Lee JW, Kim SH. (2000) Using analytic network process and goal programming for interdependent information system project selection. Comp Oper Res; 27:pp Lee JW, Kim SH. (200) An integrated approach for interdependent information system project selection. Int J Proj anage; 9:pp Sarkis J. (2003) A strategic decision framework for green supply chain management. J Clean Prod ; (4):pp / / Daneshvar (Raftar) anagement and Achievement / Shahed University / 7 th Year / 200 / No.4 / 4 / / Zhu K-J, Jing Y, Chang D-Y. (999) A discussion on extent analysis method and applications of fuzzy AHP. Euro J Oper Res; 6(2):pp

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