Existence and construction of weight-set for satisfying preference orders of alternatives based on additive multi-attribute value model

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 31, Issue 1, 2001, Pages 66-72

  Ma, Jian ^a   Fan, Zhiping ^b   Wei, Quanling ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b NORTHEASTERN UNIVERSITY   (China)

^c RENMIN UNIVERSITY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; ERROR ANALYSIS; MATHEMATICAL MODELS;

MULTIPLE ATTRIBUTE DECISION MAKING (MADM);

DECISION MAKING;

EID: 0035085724     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/3468.903868     Document Type: Article

References (23)

1. B. Al-Kloub, T. Al-Shemmeri, and A. Pearman, "The role of weights in multi-criteria decision aid, and the ranking of water projects in Jordan," Eur. J. Oper. Res., vol. 99, pp. 278-288, 1997.
2. C. L. Hwang and K. Yoon, Multiple Attribute Decision Making: Methods and Applications. New York: Springer-Verlag, 1981.
3. J. Ma, Z. P. Fan, and L. H. Huang, "A subjective and objective integrated approach to determine attribute weights," Eur. J. Oper. Res., vol. 112, pp. 397-404, 1999.
4. E. Triantaphyllou and A. Sanchez, "A sensitivity analysis approach for some deterministic multi-criteria decision-making methods," Decision Sci., vol. 28, no. 1, pp. 151-185, Winter 1997.
5. K. P. Yoon and C. L. Hwang, Multiple Attribute Decision Making - An Introduction. Newbury Park, CA: Sage, 1996.
6. H. H. Isaacs, "Sensitivity of decision to probability estimation errors," Oper. Res., vol. 11, pp. 536-552, 1963.
7. P. C. Fishburn, A. H. Murphy, and H. H. Isaacs, "Sensitivity of decision to probability estimation errors: A reexamination," Oper. Res., vol. 16, pp. 254-267, 1968.
8. J. R. Evans, "Sensitivity analysis in decision theory," Decision Sci., vol. 15, pp. 239-247, 1984.
9. G. O. Schneller and G. Sphicas, "On sensitivity analysis in decision theory," Decision Sci., vol. 16, pp. 399-409, 1985.
10. H. Barron and C. P. Schmidt, "Sensitivity analysis of additive multiattribute model," Oper. Res., vol. 36, pp. 122-127, 1988.
11. E. S. Soofi, "Generalized entropy based weights for multi-attribute value models," Oper. Res., vol. 38, pp. 362-363, 1990.
12. p-metric sensitivity analysis for single and multi-attribute decision analysis," Eur. J. Oper. Res., vol. 98, pp. 563-570, 1997.
13. C. A. Bana E Costa, "A methodology for sensitivity analysis in three-criteria problems: A case study in municipal management," Eur. J. Oper. Res., vol. 33, pp. 159-173, 1988.
14. B. Mareschal, "Weight stability of intervals in multicriteria decision aid," Eur. J. Oper. Res., vol. 33, pp. 54-64, 1988.
15. W. T. M. Wolters and B. Mareschal, "Novel types of sensitivity analysis for analysis for additive MCDM methods," Eur. J. Oper. Res., vol. 81, pp. 281-290, 1995.
16. G. B. Dantzig, Linear Programming and Extensions. Princeton, NJ: Princeton Univ. Press, 1963.
17. S.I. Gass, Linear Programming Methods and Applications. New York: McGraw-Hill, 1975.
18. W. W. Cooper, Q. L. Wei, and G. Yu, "Using displaced cone representation in DEA models for nondominated solutions in multiobjective programming," Syst. Sci. Math. Sci., vol. 10, pp. 41-49, 1997.
19. Q. L. Wei, J. Ma, and Z. P. Fan, "A parameter analysis method for the weight-set for satisfying preference orders of alternatives," J. Multiple Criteria Decision Anal., to be published.
20. Q. L. Wei, H. Yan, J. Ma, and Z. P. Fan, "A compromise weight for multicriteria group decision making with individual preference," J. Oper. Res. Society, vol. 51, pp. 625-634, 2000.
21. A. Charnes, W. W Cooper, Q. L. Wei, and Z. M. Huang, "Fundamental theorems of nondominated solutions associated with cones in normed linear space," J. Math. Anal. Applicat., vol. 150, pp. 54-78, 1990.
22. G. Yu, Q. L. Wei, and P. Brocckett, "A generalized data envelopment analysis model: A unification and extension of existing methods for efficiency analysis of decision making units," Ann. Oper. Res., vol. 66, pp. 47-89, 1996.
23. P. L. Yu, "Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjective," J. Optim. Theory Applicat., vol. 14, pp. 319-377, 1974.