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Fuzzy Sets and Fuzzy Logic-Based Methods in Multicriteria Decision Analysis

In: Trends in Multiple Criteria Decision Analysis

Author

Listed:
  • Radko Mesiar

    (Slovak University of Technology)

  • Lucia Vavríková

    (Slovak University of Technology)

Abstract

In this chapter, we discuss some fuzzy sets and fuzzy logic-based methods for multicriteria decision aid. Alternatives are identified with score vectors x ∈ [0, 1] n , and thus they can be seen as fuzzy sets, too. After discussion of integral-based utility functions, we introduce a transformation of score x into fuzzy quantity U(x). Orderings on fuzzy quantities induce orderings on alternatives. A special attention is paid to defuzzification-based orderings, especially to mean of maxima method. Our approach allows an easy incorporation of importance of criteria. Finally, a fuzzy logic-based construction method to build complete preference structures over set of alternatives is given.

Suggested Citation

  • Radko Mesiar & Lucia Vavríková, 2010. "Fuzzy Sets and Fuzzy Logic-Based Methods in Multicriteria Decision Analysis," International Series in Operations Research & Management Science, in: Matthias Ehrgott & José Rui Figueira & Salvatore Greco (ed.), Trends in Multiple Criteria Decision Analysis, chapter 0, pages 157-175, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-5904-1_6
    DOI: 10.1007/978-1-4419-5904-1_6
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