Correspondence between incomplete fuzzy preference relation and its priority vector

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5712 LNAI, Issue PART 2, 2009, Pages 745-751

  Shen, Pei Di ^a   Chyr, Wen Li ^b   Lee, Hsuan Shih ^c   Lin, Kuang ^c  

^a Graduate School of Education

^b MING CHUAN UNIVERSITY   (Taiwan)

^c NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

Author keywords

Consistent incomplete fuzzy preference relation; Incomplete fuzzy preference relation; Priority vector

Indexed keywords

DECISION MAKERS; FUZZY PREFERENCE RELATIONS; INCOMPLETE FUZZY PREFERENCE RELATION; PREFERENCE RELATION; PRIORITIZATION; PRIORITY VECTOR;

KNOWLEDGE BASED SYSTEMS; VECTORS;

KNOWLEDGE ENGINEERING;

EID: 70849102233     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-04592-9_92     Document Type: Conference Paper

References (30)

1. Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems 97, 33-48 (1998)
2. Chiclana, F., Herrera, F., Herrera-Viedma, E.: Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations. Fuzzy Sets and Systems 122, 277-291 (2001)
3. Chiclana, F., Herrera, F., Herrera-Viedma, F.E.: Reciprocity and consistency of fuzzy preference relations. In: De Baets, B., Fodor, J. (eds.) Principles of Fuzzy Preference Modelling and Decision Making, pp. 123-142. Academia Press (2003)
4. Chiclana, F., Herrera, F., Herrera-Viedma, F.E.: Rationality of induced ordered weighted operators based on the reliability of the source of information in group decision-making. Kybernetika 40, 121-142 (2004)
5. Cogger, K.O., Yu, P.L.: Eigenweight vectors and least-distance approximation for revealed preference in pairwise weight ratios. Journal of Optimization Theory and Application 46, 483-491 (1985)
6. Crawford, G., Williams, C.: A note on the analysis of subjective judgement matrices. Journal of Mathematical Psychology 29, 387-405 (1985)
7. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Application. Academic Press, New York (1980)
8. Fan, Z.-P., Xial, S.-H., Hu, G.-F.: An optimization method for integrating tow kinds of preference information in group decision-making. Computers & Industrial Engtineering 46, 329-335 (2004)
9. Herrera, F., Herrera-Viedma, E., Verdegay, J.L.: A sequential selection process in group decision-making with linguistic assessment. Information Sciences 85, 223-239 (1995)
10. Herrera, F., Martinez, L., Sanchez, P.J.: Managing non-homogeneous information in group decision making. European Journal of Operational Research 166, 115-132 (2005)
11. Herrera-Viedma, E., Herrera, F., Chiclana, F., Luque, M.: Some issues on consistency of fuzzy preference relations. European Journal of Operational Research 154, 98-109 (2004)
12. Jensen, R.E.: An alternative scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology 28, 317-332 (1984)
13. Kacprzyk, J.: Group decision making with a fuzzy linguistic majority. Fuzzy Sets and Systems 18, 105-118 (1986)
14. Kacprzyk, J., Roubens, M.: Non-Conventional Preference Relations in Decision-Making. Springer, Berlin (1988)
15. Lee, H.-S.: Optimal consensus of fuzzy opinions under group decision making environment. Fuzzy Sets and Systems 132(3), 303-315 (2002)
16. Lee, H.-S.: On fuzzy preference relation in group decision making. International Journal of Computer Mathematics 82(2), 133-140 (2005)
17. Lee, H.-S.: A Fuzzy Method for Measuring Efficiency under Fuzzy Environment. In: Khosla, R., Howlett, R.J., Jain, L.C. (eds.) KES 2005. LNCS, vol. 3682, pp. 343-349. Springer, Heidelberg (2005)
18. Lee, H.-S.: A Fuzzy Multi-Criteria Decision Making Model for the Selection of the Distribution Center. In: Wang, L., Chen, K., S. Ong, Y. (eds.) ICNC 2005, vol. 3612, pp. 1290-1299. Springer, Heidelberg (2005)
19. Luce, R.D., Suppes, P.: Preference utility and subject probability. In: Luce, R.D., et al. (eds.) Handbook of Mathematical Psychology, vol. III, pp. 249-410. Wiley, New York (1965)
20. Orlovvsky, S.A.: Decision making with a fuzzy preference relation. Fuzzy Sets and Systems 1, 155-167 (1978)
21. Roubens, M.: Some properties of choice functions based on valued binary relations. European Journal of Operational Research 40, 309-321 (1989)
22. Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
23. Tanino, T.: Fuzzy preference orderings in group decision-making. Fuzzy Sets and Systems 12, 117-131 (1984)
24. Xu, Z.S.: Generalized chi square method for the estimation of weights. Journal of Optimization Theory and Applications 107, 183-192 (2002)
25. Xu, Z.S.: Two methods for ranking alternatives in group decision-making with different preference information. Information: An International Journal 6, 389-394 (2003)
26. Xu, Z.S.: Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation. International Journal of Approximate Reasoning 36, 261-270 (2004)
27. Xu, Z.S., Da, Q.L.: An approach to improving consistency of fuzzy preference matrix. Fuzzy Optimization and Decision Making 2, 3-12 (2003)
28. Zimmermann, H.J.: Fuzzy Set Theory and Its Applications. Kluwer, Dordrecht (1991)
29. Zhang, Q., Chen, J.C.H., He, Y.-Q., Ma, J., Zhou, D.-N.: Multiple attribute decision making: approach integrating subjective and objective information. International Journal of Manufacturing Technology and Management 5(4), 338-361 (2003)
30. Zhang, Q., Chen, J.C.H., Chong, P.P.: Decision consolidation: criteria weight determination using multiple preference formats. Decision Support Systems 38, 247-258 (2004)