Some issues on consistency of fuzzy preference relations

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Some issues on consistency of fuzzy preference relations

In decision making, in order to avoid misleading solutions, the study of consistency when the decision makers express their opinions by means of preference relations becomes a very important aspect in order to avoid misleading solutions. In decision making problems based on fuzzy preference relations the study of consistency is associated with the study of the transitivity property. In this pap...

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Preference relations are the most common representation structures of information used in decision making problems because they are useful tool in modelling decision processes, above all when we want to aggregate experts’ preferences into group preferences. Therefore, to establish rationality properties to be verified by preference relations is very important in the design of good decision maki...

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Additive Consistency of Fuzzy Preference Relations: Characterization and Construction

As it is known, most decision processes are based on preference relations, in the sense that processes are linked to some degree of preference of any alternative over another. The use of preference relations is usual in decision making [1, 5, 10, 14]. Therefore, to establish properties to be verified by such preference relations is very important for designing good decision making models. One o...

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On consistency measures of linguistic preference relations

Inspired by the concept of deviation measure between two linguistic preference relations, this paper further defines the deviation measure of a linguistic preference relation to the set of consistent linguistic preference relations. Based on this, we present a consistency index of linguistic preference relations and develop a consistency measure method for linguistic preference relations. This ...

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Intuitionistic fuzzy preference relations

We consider properties of intuitionistic fuzzy preference relations. We study preservation of a preference relation by lattice operations, composition and some Atanassov’s operators like Fα,β , Pα,β , Qα,β , where α, β ∈ [0, 1]. We also define semi-properties of intuitionistic fuzzy relations, namely reflexivity, irreflexivity, connectedness, asymmetry, transitivity. Moreover, we study under wh...

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ژورنال

عنوان ژورنال: European Journal of Operational Research

سال: 2004

ISSN: 0377-2217

DOI: 10.1016/s0377-2217(02)00725-7