A revised method for ranking fuzzy numbers using maximizing set and minimizing set

Computers and Industrial Engineering

Volumn 61, Issue 4, 2011, Pages 1342-1348

  Chou, Shuo Yan ^a   Dat, Luu Quoc ^a   Yu, Vincent F ^a  

^a NATIONAL TAIWAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Fuzzy numbers; Index of optimism; Maximizing set; Minimizing set

Indexed keywords

COMPUTATIONAL PROCEDURES; DECISION MAKERS; FUZZY NUMBERS; INDEX OF OPTIMISM; MAXIMIZING SET; MINIMIZING SET; NUMBER OF METHODS; RANKING FUZZY NUMBERS; RANKING METHODS;

FUZZY RULES;

EID: 80054883682     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2011.08.009     Document Type: Article

References (32)

1. S. Abbasbandy, and B. Asady Ranking of fuzzy numbers by sign distance Information Sciences 176 2006 2405 2416 (Pubitemid 43795487)
2. S. Abbasbandy, and T. Hajjari A new approach for ranking of trapezoidal fuzzy numbers Computers & Mathematics with Applications 57 3 2009 413 419
3. B. Asady The revised method of ranking LR fuzzy number based on deviation degree Expert Systems with Applications 37 7 2010 5056 5060
4. B. Asady, and A. Zendehnam Ranking fuzzy numbers by distance minimization Applied Mathematical Modelling 31 11 2007 2589 2598 (Pubitemid 46893984)
5. G. Athanasopoulos, C.R. Riba, and C. Athanasopoulou A decision support system for coating selection based on fuzzy logic and multi-criteria decision making Expert Systems with Applications 36 2009 10848 10853
6. G. Bortolan, and R. Degani A review of some methods for ranking fuzzy subsets Fuzzy Sets and Systems 15 1985 1 19 (Pubitemid 15524359)
7. L.H. Chen, and H.W. Lu The preference order of fuzzy numbers Computers & Mathematics with Applications 44 2002 1455 1465
8. S.H. Chen Ranking fuzzy numbers with maximizing set and minimizing set Fuzzy Sets and Systems 17 1985 113 129
9. C.H. Cheng A new approach for ranking fuzzy numbers by distance method Fuzzy Sets and Systems 95 1998 307 317
10. T.C. Chu Ranking alternatives via maximizing set and minimizing set based fuzzy MCDM approach Journal - Chinese Institute of Engineers 27 1 2004 153 159
11. T.C. Chu, and Y.C. Lin A fuzzy TOPSIS method for robot selection International Journal of Advanced Manufacturing Technology 21 2003 284 290
12. T.C. Chu, and Y.C. Lin An extension to fuzzy MCDM Computers & Mathematics with Applications 57 2009 445 454
13. T.C. Chu, and C.T. Tsao Ranking fuzzy numbers with an area between the centroid point and original point Computers & Mathematics with Applications 43 1/2 2002 111 117
14. D. Dubois, and H. Prade Operations on fuzzy numbers International Journal of Systems Science 9 1978 613 626
15. D. Dubois, and H. Prade Ranking fuzzy numbers in the setting of possibility theory Information Sciences 30 1983 183 224 (Pubitemid 14551926)
16. R. Jain Decision-making in the presence of fuzzy variables IEEE Transactions on Systems Man and Cybernetics 6 1976 698 703
17. C. Kao, and S.T. Liu A mathematical programming approach to fuzzy efficiency ranking International Journal of Production Economics 86 2 2003 145 154
18. K. Kim, and K.S. Park Ranking fuzzy numbers with index of optimism Fuzzy Sets and Systems 35 1990 143 150
19. D.N. Kumar Ranking multi-criterion river basin planning alternatives using fuzzy numbers Fuzzy Sets and Systems 100 1-3 1998 89 99
20. T.S. Liou, and M.J. Wang Ranking fuzzy numbers with integral value Fuzzy Sets and Systems 50 1992 247 255
21. S.T. Liu Rating design requirements in fuzzy quality function deployment via a mathematical programming approach International Journal of Production Research 43 3 2005 497 513
22. B. Matarazzo, and G. Munda New approaches for the comparison of L-R fuzzy numbers: A theoretical and operational analysis Fuzzy Sets and Systems 118 2001 407 418 (Pubitemid 33592818)
23. P.A. Raj, and D.N. Kumar Ranking alternatives with fuzzy weights using maximizing set and minimizing set Fuzzy Sets and Systems 105 3 1999 365 375
24. B. Ravi, and M.N. Srinivasan Decision criteria for computer-aided parting surface design Computer Aided Design 22 1 1990 11 18 (Pubitemid 20697621)
25. X. Wang, and E.E. Kerre Reasonable properties for the ordering of fuzzy quantities I Fuzzy Sets and Systems 118 2001 375 385 (Pubitemid 33592816)
26. X. Wang, and E.E. Kerre Reasonable properties for the ordering of fuzzy quantities II Fuzzy Sets and Systems 118 2001 387 405 (Pubitemid 33592817)
27. Y.J. Wang, and H.S. Lee The revised method of ranking fuzzy numbers with an area between the centroid and original points Computers & Mathematics with Applications 55 9 2008 2033 2042
28. Y.M. Wang Centroid defuzzification and the maximizing set and minimizing set ranking based on alpha level sets Computers & Industrial Engineering 57 2009 228 236
29. Y.M. Wang, and Y. Luo Area ranking of fuzzy numbers based on positive and negative ideal points Computers & Mathematics with Applications 58 2009 1769 1779
30. Y.M. Wang, J.B. Yang, D.L. Xu, and K.S. Chin On centroids of fuzzy numbers Fuzzy Sets and Systems 157 2006 919 926
31. Z.X. Wang, Y.J. Liu, Z.P. Fan, and B. Feng Ranking L-R fuzzy number based on deviation degree Information Sciences 179 13 2009 2070 2077
32. J. Yao, and K. Wu Ranking fuzzy numbers based on decomposition principle and signed distance Fuzzy Sets and Systems 116 2000 275 288