Deriving interval weights from an interval multiplicative consistent fuzzy preference relation

Knowledge-Based Systems

Volumn 26, Issue , 2012, Pages 128-134

  Lan, Jibin ^a   Hu, Mingming ^a   Ye, Xinmiao ^a   Sun, Shiquan ^b  

^a GUANGXI UNIVERSITY   (China)

^b XIDIAN UNIVERSITY   (China)

Author keywords

Additive consistent; Algorithm; Interval fuzzy preference relation; Interval weights; Multiplicative consistent

Indexed keywords

CONSISTENT FUZZY PREFERENCE RELATION; FUZZY PREFERENCE RELATIONS; INTERVAL WEIGHTS; MULTIPLICATIVE CONSISTENT; NUMERICAL EXAMPLE;

ALGORITHMS;

NUMERICAL METHODS;

EID: 84155186598     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2011.07.014     Document Type: Article

References (25)

1. T.L. Saaty Multicriteria Decision Making: The Analytic Hierarchy Process 1990 RWS Publications Pittsburgh
2. Z.S. Xu Uncertain Multiple Attribute Decision Making: Methods and Applications 2004 Tsinghua University Press Beijing
3. Z.S. Xu, Study on methods for multiple attribute decision making under some situations, Ph.D. Thesis, Southeast University, Nanjing, China, 2002. .
4. J.B. Lan, Research on priorities of analytic hierarchy process and problems of fuzzy multiple attribute decision making, Ph.D. Thesis, Southwest Jiaotong University, Chengdu, China, 2006. .
5. Y.Y. He, Q. Wang, and D.Q. Zhou Extension of the expected value method for multiple attribute decision making with fuzzy data Knowledge-Based Systems 22 2009 63 66
6. G.W. Wei Grey relational analysis model for dynamic hybrid multiple attribute decision making Knowledge-Based Systems 24 2011 672 679
7. P.D. Liu A novel method for hybrid multiple attribute decision making Knowledge-Based Systems 22 2009 388 391
8. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations Fuzzy Sets and Systems 97 1998 33 48 (Pubitemid 128654877)
9. Z.P. Fan, J. Ma, Y.P. Jiang, Y.H. Sum, and L. Ma A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations European Journal of Operational Research 174 2006 311 321 (Pubitemid 44866849)
10. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw-Hill New York
11. G.B. Crawford The geometric mean procedure for estimating the scale of a judgement matrix Mathematical Modelling 9 3-5 1987
12. K.O. Cogger, and P.L. Yu Eigenweight vectors and least-distance approximation for revealed preference in pairwise weight ratios Journal of Optimization Theory and Applications 46 1985 483 491 (Pubitemid 15549690)
13. G. Islei, and A.G. Lockett Judgemental modelling based on geometric least square European Journal of Operational Research 36 1 1988 27 35 (Pubitemid 18645466)
14. N. Bryson, and A. Joseph Generating consensus priority point vectors: a logarithmic goal programming approach Computers and Operations Research 26 1999 637 643 (Pubitemid 29346456)
15. E. Fernandez, and J.C. Leyva A method based on multiobjective optimization for deriving a ranking from a fuzzy preference relation European Journal of Operational Research 154 2004 110 124
16. Z.S. Xu Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation International Journal of Approximate Reasoning 36 2004 261 270
17. Z.S. Xu, and J. Chen Some models for deriving the priority weights from interval fuzzy preference relations European Journal of Operational Research 184 2008 266 280 (Pubitemid 47368918)
18. J.B. Lan, J. Lin, and L.J. Cao An information mining method for deriving weights from an interval comparison matrix Mathematical and Computer Modelling 50 2009 393 400
19. Y.M. Wang, J.B. Yang, and D.L. Xu Interval weight generation approaches based on consistency test and interval comparison matrices Applied Mathematics and Computation 167 2005 252 273
20. S. Genc, F.E. Boran, D. Akay, and Z.S. Xu Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations Information Sciences 180 2010 4877 4891
21. S.A. Orlovski Decision-making with a fuzzy preference relation Fuzzy Sets and Systems 1 1978 155 167
22. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets and Systems 12 1984 117 131 (Pubitemid 14569423)
23. T.L. Saaty, and L. Vargas Inconsistency and rank preservation Journal of Mathematical Psychology 32 1984 205 214
24. Z.S. Xu, and Q.L. Da The uncertain OWA operator International Journal of Intelligent Systems 17 2002 569 575 (Pubitemid 34566426)
25. C.Y. Gao, and D.H. Peng Consolidating SWOT analysis with nonhomogeneous uncertain preference information Knowledge-Based Systems 24 6 2011 796 808