Some models for generating and ranking multiplicative weights

Computers and Industrial Engineering

Volumn 65, Issue 4, 2013, Pages 586-593

  Lin, Jian ^a   Lan, Jibin ^b   Jiang, Yong ^a  

^a FUJIAN AGRICULTURE AND FORESTRY UNIVERSITY   (China)

^b GUANGXI UNIVERSITY   (China)

Author keywords

Interval comparison matrix; Multiplicative weight; Ranking Goal programming; Triangular fuzzy comparison matrix

Indexed keywords

FUZZY COMPARISON MATRIX; GEOMETRIC MEAN; GOAL PROGRAMMING; INTERVAL COMPARISON MATRIX; INTERVAL WEIGHTS; MULTIPLICATIVE WEIGHT; NUMERICAL EXAMPLE; RANKING METHODS;

ENGINEERING; INDUSTRY;

MATRIX ALGEBRA;

EID: 84878569852     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2013.05.006     Document Type: Article

References (21)

1. J. Barzilai Deriving weights from pairwise comparison matrices Journal of the Operational Research Society 48 1997 1226 1232 (Pubitemid 127624631)
2. J. Barzilai, W. Cook, and B. Golany Consistent weights for judgements matrices of the relative importance of alternatives Operational Research Letters 06 1987 131 134 (Pubitemid 17632863)
3. S. Bozoki, J. Fulop, and L. Ronyai On optimal completion of incomplete pairwise comparison matrices Mathematical and Computer Modelling 52 2010 318 333
4. T. CHU Ranking fuzzy numbers with an area between the centroid point and original point Computers and Mathematics with Applications 43 2002 111 117 (Pubitemid 34061331)
5. R. Csutora, and J. Buckley Fuzzy hierarchical analysis the Lambda-Max method Fuzzy Sets and Systems 120 2001 181 195 (Pubitemid 32407896)
6. G. Facchinetti, R. Ricci, and S. Muzzioli Note on ranking triangular fuzzy numbers International Journal of Intelligent Systems 13 1998 613 622 (Pubitemid 128593600)
7. N. Hovanov Deriving weights from general pairwise comparison matrices Mathematical Social Sciences 55 2008 205 220
8. J. Lan, J. Lin, and L. Cao An information mining method for deriving weights from an interval comparison matrix Mathematical and Computer Modelling 50 2009 393 400
9. L. Leung, and D. Cao On consistency and ranking of alternatives in fuzzy AHP European Journal of Operational Research 124 2000 102 113
10. F. Liu Acceptable consistency analysis of interval reciprocal comparison matrices Fuzzy Sets and Systems 160 2009 2686 2700
11. F. Liu, W. Zhang, and J. Fu A new method of obtaining the priority weights from an interval fuzzy preference relation Information Sciences 185 2012 32 42
12. F. Liu, W. Zhang, and Z. Wang A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making European Journal of Operational Research 218 2012 747 754
13. T. Saaty, and L. Vargas Uncertainty and rank order in the analytic hierarchy process European Journal of Operational Research 32 1987 107 117
14. L. Savage The foundations of statistics 1972 Wiley New York (reprinted by Dover, New York, NY)
15. A. Stam, and A. Duarte Silva On multiplicative priority rating methods for the AHP European Journal of Operational Research 145 2003 92 108
16. P. Van Laarhoven, and W. Pedrycz A fuzzy extension of Saaty's priority theory Fuzzy Sets and Systems 11 1983 229 241 (Pubitemid 14507023)
17. Y. Wang, and T. 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)
18. Y. Wang, C. Parkan, and Y. Luo A linear programming method for generating the most favorable weights from a pairwise comparison matrix Computers & Operations Research 35 2008 3918 3930 (Pubitemid 351608448)
19. Y. Wang, J. Yang, and D. Xu A two-stage logarithmic goal programming method for generating weights from interval comparison matrices Fuzzy Sets and Systems 152 2005 475 498 (Pubitemid 40556333)
20. Z. Xu, and Q. Da The uncertain OWA operator International Journal of Intelligent Systems 17 2002 569 575 (Pubitemid 34566426)
21. H. Zimmermann Fuzzy set theory and its applications 2nd ed. 1991 Kluwer Nijhoff, Boston