A new method of obtaining the priority weights from an interval fuzzy preference relation

Information Sciences

Volumn 185, Issue 1, 2012, Pages 32-42

  Liu, Fang ^a,b   Zhang, Wei Guo ^a   Fu, Jun Hui ^a  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b GUANGXI UNIVERSITY   (China)

Author keywords

AHP; Consistency; Interval fuzzy preference relation; Priority weight; Transformation formula

Indexed keywords

AHP; CONSISTENCY; FUZZY PREFERENCE RELATIONS; PRIORITY WEIGHT; TRANSFORMATION FORMULA;

DECISION MAKING;

NUMERICAL METHODS;

EID: 80755146096     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.09.019     Document Type: Article

References (40)

1. S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera A web based consensus support system for group decision making problems and incomplete preferences Information Sciences 180 2010 4477 4495
2. A. Arbel Approximate articulation of preference and priority derivation European Journal of Operational Research 43 1989 317 326 (Pubitemid 20634228)
3. A. Arbel, and L.G. Vargas Preference simulation and preference programming: robustness issues in priority deviation European Journal of Operational Research 69 1993 200 209 (Pubitemid 23705142)
4. 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 Application 46 1985 483 491 (Pubitemid 15549690)
5. G. Crawford, and C. Williams A note on the analysis of subjective judgement matrices Journal of Mathematics Psychology 29 1985 387 405
6. Z.P. Fan, J. Ma, and Q. Zhang An appoach to multiple attribute decision making based on fuzzy preference information on alternatives Fuzzy Sets and Systems 131 2002 101 106 (Pubitemid 34965442)
7. 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
8. B. Golden, E. Wasil, and P. Harker The Analytic Hierarchy Process: Applications and Studies 1989 Springer Berlin
9. Z.W. Gong Least-square method to priority of the fuzzy preference relations with incomplete information International Journal of Approximate Reasoning 47 2008 258 264
10. F. Herrera, E. Herrera-Viedma, and J.L. Verdegay A sequential selection process in group decision-making with linguistic assessment Information Sciences 85 1995 223 239
11. R. Islam, M.P. Biswal, and S.S. Alam Preference programming and inconsistent interval judgments European Journal of Operational Research 97 1997 53 62 (Pubitemid 127369264)
12. R.E. Jensen An alternative scaling method for priorities in hierarchical structures Journal of Mathematical Psychology 28 1984 317 332
13. H.F. Jiang, M.M. Xia, and C.P. Wei The priority method of interval fuzzy preference relation Applied Mathematical Sciences 4 2010 1681 1690
14. J. Kacprzyk Group decision making with a fuzzy linguistic majority Fuzzy Sets and Systems 18 1986 105 118
15. A. Kaufmann, and M.M. Gupta Fuzzy Mathematical Models in Engineering and Management Science 1988 Elsevier Science Amsterdam
16. F. Liu Acceptable consistency analysis of interval reciprocal comparison matrices Fuzzy Sets and Systems 160 2009 2686 2700
17. R.E. Moore Interval Analysis 1966 Prentice-Hall New York
18. S.A. Orlovski Decision making with a fuzzy preference relation Fuzzy Sets and Systems 1 1978 155 167
19. W. Pedrycz, and M.L. Song Analytic hierarchy process (AHP) in group decision making and its optimization with an allocation of information granularity IEEE Transaction on Fuzzy Systems 19 2011 527 539
20. V.V. Podinovski Interval articulation of superiority and precise elicitation of priorities European Journal of Operational Research 180 2007 406 417 (Pubitemid 46123847)
21. T.L. Saaty A scaling method for priorities in hierarchical structures Journal of Mathematical Psychology 15 1977 234 281
22. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw-Hill New York
23. T.L. Saaty, and L.G. Vargas Uncertainty and rank order in the analytic hierarchy process European Journal of Operational Research 32 1987 107 117
24. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets and Systems 12 1984 117 131 (Pubitemid 14569423)
25. O.S. Vaidya, and S. Kumar Analytic hierarchy process: an overview of applications European Journal of Operational Research 48 2006 1 29 (Pubitemid 41336610)
26. P.J.M. van Laarhoven, and W. Pedrycz A Fuzzy extension of Saaty's priority theory Fuzzy Sets and Systems 11 1983 229 241 (Pubitemid 14507023)
27. Y.M. Wang, J.B. Yang, and D.L. Xu A two-stage logarithmic goal programming method for generating weights from interval comparison matrices Fuzzy Sets and Systems 152 2005 475 498
28. Y.M. Wang, and T.M.S. Elhag A goal programming method for obtaining interval weights from an interval comparison matrix European Journal of Operational Research 177 2007 458 471 (Pubitemid 44647615)
29. M.M. Xia, H.F. Jiang, and C.P. Wei Research on the priority method of interval fuzzy preference relation Applied Mathematical Sciences 3 2009 837 843
30. Z.S. Xu, and C.P. Wei A consistency improving method in the analytic hierarchy process European Journal of Operational Research 116 1999 443 449
31. Z.S. Xu Two methods for priorities of complementary judgment matrices-weights least-square and eigenvector method Systems Engineering Theory & Practice 22 2002 71 75
32. Z.S. Xu, and Q.L. Da A least deviation method to obtain a priority vector of a fuzzy preference relation European Journal of Operational Research 164 2005 206 216
33. Z.S. Xu A C-OWA operator-based approach to decision making with interval fuzzy preference relation International Journal of Intelligent Systems 21 2006 1289 1298
34. 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)
35. Z.S. Xu, and X.Q. Cai Group consensus algorithms based on preference relations Information Sciences 181 2011 150 162
36. R.R. Yager OWA aggregation over a continuous interval argument with applications to decision making IEEE Transactions on Systems Man and Cybernetics, Part B. Cybernetics 34 2004 1952 1963
37. R.R. Yager, and Z.S. Xu The continuous ordered weighted geometric operator and its application to decision making Fuzzy Sets and Systems 157 2006 1393 1402
38. R.R. Yager Using trapezoids for representing granular objects: applications to learning and OWA aggregation Information Sciences 178 2008 363 380 (Pubitemid 47600208)
39. R.R. Yager On the dispersion measure of OWA operators Information Sciences 179 2009 3908 3919
40. Q. Yue, Z.P. Fan, and L.H. Shi New approach to determine the priorities from interval fuzzy preference relations Journal of Systems Engineering and Electronics 22 2011 267 273