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

Radko Mesiar () and Lucia Vavríková ()
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Radko Mesiar: Slovak University of Technology
Lucia Vavríková: Slovak University of Technology

Chapter Chapter 6 in Trends in Multiple Criteria Decision Analysis, 2010, pp 157-175 from Springer

Abstract: 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.

Keywords: Fuzzy set; Fuzzy quantity; Fuzzy utility; Dissimilarity; Defuzzification (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-1-4419-5904-1_6

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DOI: 10.1007/978-1-4419-5904-1_6

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