Generalized mixture operators using weighting functions: A comparative study with WA and OWA

European Journal of Operational Research

Volumn 145, Issue 2, 2003, Pages 329-342

  Ribeiro, Rita Almeida ^a   Marques Pereira, Ricardo Alberto ^b  

^a Universidade Lusada de Lisboa   (Portugal)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

Fuzzy sets; Generalized mixture operators; Linear and quadratic weight generating functions; Multiple attribute decision making; Weighted aggregation

Indexed keywords

FUZZY SETS; KNOWLEDGE BASED SYSTEMS; LINGUISTICS; MATHEMATICAL OPERATORS;

MULTIPLE ATTRIBUTE DECISION MAKING (MADM);

DECISION MAKING;

EID: 0037332885     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(02)00538-6     Document Type: Article

References (27)

1. Al-Kloub B., Al-Shemmeri T. et al. The role of weights in multi-criteria decision aid, and the raking of water projects in Jordan. European Journal of Operational Research. 99:1997;278-288.
2. Bellman R.E., Zadeh L.A. Decision-making in a fuzzy environment. Management Science. 17(4):1970;141-164.
3. Chen S.-J., Hwang C.-L. Fuzzy Multiple Attribute Decision Making. 1992;Springer-Verlag, Berlin.
4. Edwards W., Newman J.R. Multiattribute Evaluation. Quantitative Applications in the Social Sciences. 1982;Sage Publications, Beverley Hills, CA.
5. Grabisch M. Fuzzy integral in multicriteria decision making. Fuzzy Sets and Systems. 69:1995;279-298.
6. Grabisch M. The applications of fuzzy integrals in multicriteria decision making. European Journal of Operational Research. 89:1996;445-456.
7. Hobbs B.F. A comparison of weighting methods in power plant sitting. Decision Sciences. 11:1980;725-737.
8. Kaymac U., Nauta-Lemke H.R. A sensitivity analysis approach to introducing weight factors into decision function in fuzzy multicriteria decision making. Fuzzy Sets and Systems. 97:1998;169-182.
9. Keeney R.L., Raiffa H. Multiattribute preferences under uncertainty: More than two attributes. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. 1976;283-348 Wiley, New York.
10. Kickert W.J.M. Fuzzy Theories on Decision Making. Martinus Nijhoff Social Sciences Division. 1978.
11. Marques Pereira, R.A., 2000. The orness of mixture operators: The exponential case. In: Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU' 2000), Madrid, Spain.
12. Marques Pereira, R.A., Pasi, G., 1999. On non-monotonic aggregation: Mixture operators. In: Proceedings of the 4th Meeting of the EURO Working Group on Fuzzy Sets (EUROFUSE' 99) and 2nd International Conference on Soft and Intelligent Computing (SIC' 99), Budapest, Hungary.
13. Ribeiro R.A. Fuzzy multiple attribute decision making: A review and new preference elicitation techniques. Fuzzy Sets and Systems. 78:1996;155-181.
14. Ribeiro, R.A., 2000. Criteria importance and satisfaction in decision making. In: Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems (IPMU' 2000), Madrid, Spain.
15. Ribeiro, R.A., Marques-Pereira, R.A., 2001. Weights as functions of attribute satisfaction values. In: Proceedings of the Workshop on Preference Modelling and Applications (EUROFUSE' 2001), Granada, Spain.
16. Stillwell W.G., Seaver D.A. et al. A comparison of weight approximation techniques in multiattribute utility decision making. Oganizational behaviour and Human Performance. 28:1981;62-77.
17. Weber M., Borcherding K. Behavioural influences on weight judgments in multiattribute decision making. European Journal of Operational Research. 67:1993;1-12.
18. Yager R.R. On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems, Man, and Cybernetics. 18(1):1988;183-190.
19. Yager R.R. Applications and extensions of OWA aggregations. International Journal of Man-Machine Studies. 37:1992;103-132.
20. Yager R.R. Families of OWA operators. Fuzzy Sets and Systems. 59:1993;125-148.
21. Yager R.R. Quantifier guided aggregation using OWA operators. International of Journal of Intelligent Systems. 11:1996;49-73.
22. Yager R.R., Filev D.P. Parametrized AND-like and OR-like OWA operators. International Journal of General Systems. 22:1994;297-316.
23. Yager R.R., Kelman A. An extension of the analytical hierarchy process using OWA operators. Journal of Intelligent & Fuzzy Systems. 7(4):1999;401-417.
24. Yoon K. The propagation of errors in multiple-attribute decision analysis: A practical approach. Journal of Operational Research Society. 40(7):1989;681-686.
25. Yoon K.P., Hwang C.-L. Multiple Attribute Decision Making. 1995;Sage Publications, Beverley Hills, CA.
26. Zadeh, L.A., 1987. The concept of a linguistic variable and its application to approximate reasoning - I. Fuzzy Sets and Applications: Selected Papers by Zadeh, L.A., Yager, R.R., Ovchinnikiv, S., Tong, R., Nguyen, H.T. Wiley, New York, Reprinted from: Information Sciences 8 (1975) 219-269.
27. Zimmermann H.-J. Fuzzy Sets, Decision Making, and Expert Systems. 1987;Kluwer Academic Publishers, Boston.