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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Fuzzy Sets and Fuzzy Logic-Based Methods in Multicriteria Decision Analysis
verfasst von : Radko Mesiar, Lucia Vavríková
Erschienen in: Trends in Multiple Criteria Decision Analysis
Verlag: Springer US
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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.