Deriving fuzzy weights of criteria from inconsistent fuzzy comparison matrices by using goal programming method

Journal of Intelligent and Fuzzy Systems

Volumn 25, Issue 1, 2013, Pages 69-80

  Izadikhah, Mohammad ^a  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Fuzzy pair wise comparison matrix; Fuzzy weight; Goal programming; Ranking function; Triangular fuzzy number

Indexed keywords

FUZZY PAIR-WISE COMPARISONS; FUZZY WEIGHT; GOAL PROGRAMMING; RANKING FUNCTIONS; TRIANGULAR FUZZY NUMBERS;

ARTIFICIAL INTELLIGENCE; ENGINEERING;

INFORMATION RETRIEVAL;

EID: 84880085546     PISSN: 10641246     EISSN: 18758967     Source Type: Journal    
DOI: 10.3233/IFS-2012-0615     Document Type: Article

References (36)

1. B. Asady, M. Zendehnam, Ranking of fuzzy numbers by minimize distance, Applied Mathematical Modell 31 (2007), 2589-2598.
2. Z. Ayag and R.G. Ozdemir, A hybrid approach to concept selection through fuzzy analytic network process, Computers & Industrial Engineering 56 (2009), 368-379.
3. J.F. Baldwin, N.C.F. Guild, Comparison of fuzzy numbers on the same decision space, Fuzzy Sets System 2 (1979), 213-233.
4. J. Barzilai, Deriving weights from pairwise comparison matrices, Journal of Operational Research Society 48 (1997), 1226-32.
5. R.E. Bellman, L.A. Zadeh, Decision making in a fuzzy environment, Management Science 17 (1970), 141-164.
6. J.J. Buckley, FUZZY HIERARCHICAL ANALYSIS, Fuzzy Sets and Systems 17 (1985), 233-247.
7. D.Y. Chang, Applications of the extent analysis method on fuzzy AHP, European Journal of Operational Research 95 (1996), 649-655.
8. C-T. Chang, A modified goal programming model for piecewise linear functions, European Journal of Operational Research 139 (2002), 62-67.
9. A. Charnes, W.W. Cooper, Management Model and Industrial Application of Linear Programming, Vol. 1, Wiley, New York 1961.
10. S. Chen, Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets System 17 (1985), 113-129.
11. C.H. Cheng, A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets System 95 (1998), 307-317.
12. F. Choobineh, H. Li, An index for ordering fuzzy numbers, Fuzzy Sets System 54 (1993), 287-294.
13. T. Chu, C. Tsao, Ranking fuzzy numbers with an area between the centroid point and original point, Computational Mathematical Applied 43 (2002), 11-117.
14. K.O. Cogger and P.L. Yu, Eigen weight vectors and least distance approximation for revealed preference in pairwise weight ratios, Journal of Optimization Theory and Applications 46 (1985), 483-491.
15. F. Garcia, F. Guijarro and I. Moya, A goal programming approach to estimating performance weights for ranking firms, Computers & Operations Research 37 (2010),1597-1609.
16. A.M. Geoffrion, J.S. Dyer and A. Feinberg, An interactive approach for multicriterion optimization with an application to operation of an academic department, Management Science 19 (1972), 357-368.
17. Y.Y. Haimes, The surrogate worth trade-off (SWT) method and its extensions, in: G. Fandel and T. Gal (eds.), Multiple Criteria Decision Making Theory and Application, Springer-Verlag, New York 1980.
18. R. Islam, M.P. Biswal and S.S. Alam, Preference programming and inconsistent interval judgments, European Journal of Operational Research 97 (1997), 53-62.
19. P. Jaskowski, S. Biruk and R. Bucon, Assessing contractor selection criteria weights with fuzzy AHP method application in group decision environment, Automation in Construction 19 (2010), 120-126.
20. E.S. Lee and R.L. Li, Comparison of fuzzy numbers based on the probability measure of fuzzy events, Computational Mathematical Applied 15 (1988), 887-896.
21. L. Mikhailov, Deriving priorities from fuzzy pairwise comparison judgements, Fuzzy Sets and Systems 134 (2003), 365-385.
22. J. Ramik and P.Korviny, Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean, Fuzzy Sets and Systems 161(2010), 1604-1613.
23. C. Romero, Extended lexicographic goal programming: A unifying approach, Omega 29 (2001), 63-71.
24. C. Romero, A general structure of achievement function for a goal programming model, European Journal of Operational Research153 (2004), 675-686.
25. T.L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
26. A. Salo and R. Haimalainen,Onthe measurement of preferences in the analytic hierarchy process, Journal of Multi-Criteria Decision Analysis 6 (1997), 309-319.
27. Z. Taha and S. Rostam, A fuzzy AHP-ANN-based decision support system for machine tool selection in a flexible manufacturing cell, International Journal Advance Manufacturing Technology 57 (2011), 719-733.
28. E. Takeda, K.O. Cogger and P.L. Yu, Estimating criterion weights using eigenvectors: A comparative study, European Journal of Operational Research 29 (1987), 360-369.
29. Y-M. Wang, On lexicographic goal programming method for generating weights from inconsistent interval comparison matrices, Applied Mathematics and Computation 173 (2006), 985-991.
30. Y-M. Wang and K-S. Chin, An eigenvector method for generating normalized interval and fuzzy weights, Applied Mathematics and Computation 181 (2006), 1257-1275.
31. Y-M.Wang and K-S. Chin,Alinear goal programming priority method for fuzzy analytic hierarchy process and its applications in newproduct screening, International Journal of Approximate Reasoning 49 (2008), 451-465.
32. Y.M.Wang, J.B. Yang, D.L. Xu, K.S. Chin, On the centroids of fuzzy numbers, Fuzzy Sets System 157 (2006), 919-926.
33. Z. 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.
34. R.R. Yager, A procedure for ordering fuzzy subsets of the unit interval, Informatics and Sciences 24 (1981), 143-161.
35. S. Zionts and J.Wallenius, An interactive programming method for solving the multiple criteria problem, Management Science 22 (1976), 652-663.
36. L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.