Multi-Criteria Decision Making Methods and Fuzzy Sets
Multi-criteria decision making (MCDM) is one of the well-known topics of decision making. Fuzzy logic provides a useful way to approach a MCDM problem. Very often in MCDM problems, data are imprecise and fuzzy. In a real-world decision situation, the application of the classic MCDM method may face serious practical constraints, because of the criteria containing imprecision or vagueness inherent in the information. For these cases, fuzzy multi-attribute decision making (MADM) and fuzzy multi-objective decision making (MODM) methods have been developed. In this chapter, crisp MADM and MODM methods are first summarized briefly and then the diffusion of the fuzzy set theory into these methods is explained. Some examples of recently published papers on fuzzy MADM and MODM are given.
Key wordsMulti-criteria multi-attribute multi-objective decision making fuzzy sets
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- Abo-Sinna, M.A., and Abou-El-Enien, T.H.M., 2006, An interactive algorithm for large scale multiple objective programming problems with fuzzy parameters through TOPSIS approach, Applied Mathematics and Computation, forthcoming.Google Scholar
- Chen, S.J., and Hwang, C.L., 1992, Fuzzy Multiple Attribute decision-making, Methods and Applications, Lecture Notes in Economics and Mathematical Systems, 375: Springer, Heidelberg.Google Scholar
- Hwang, C-L., and Yoon, K., 1981, Multiple Attribute Decision Making, Lecture Notes in Economics and Mathematical Systems, Heidelberg, Berlin, Springer-Verlag.Google Scholar
- Saaty, T.L., 1996, The Analytic Network Process, RWS Publications, Pittsburgh, PA.Google Scholar
- Sakawa, M., 1993, Fuzzy Sets and Interactive Multiobjective Optimization, Applied Information Technology, Plenum Press, New York. Google Scholar
- Sugeno, M., 1974, Theory of fuzzy integrals and its applications, PhD thesis, Tokyo Institute of Technology, Tokyo, Japan.Google Scholar
- Zimmermann, H.J.,1985, Fuzzy Set Theory and Its Applications, Kluwer, Nijhoff Publishing, Boston.Google Scholar
- Zimmermann, H.J., 1987, Fuzzy Sets, Decision Making, and Expert Systems, Kluwer, Boston.Google Scholar