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Some issues on consistency of fuzzy preference relations [PDF]
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Herrera-Viedma, E. +3 more
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Interpolative relations and interpolative preference structures [PDF]
Relations are very important mathematical objects in different fields of theory and applications. In many real applications, for which gradation of relations is immanent, the classical relations are not adequate. Interpolative relations (I-relations) (as
Radojević Dragan
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FUZZY STRICT PREFERENCE RELATIONS COMPATIBLE WITH FUZZY ORDERINGS [PDF]
One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings.
Llamazares, Bonifacio, De Baets, Bernard
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Decomposition and Arrow-Like Aggregation of Fuzzy Preferences
We analyze the concept of a fuzzy preference on a set of alternatives, and how it can be decomposed in a triplet of new fuzzy binary relations that represent strict preference, weak preference and indifference.
Armajac Raventós-Pujol +2 more
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Fusion of heterogeneous incomplete hesitant preference relations in group decision making
In this paper, we focus on the fusion of heterogeneous incomplete hesitant preference relations (including hesitant fuzzy preference relations and hesitant multiplicative preference relations) under group decision making settings.
Zhen Zhang, Chonghui Guo
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New Transitivity of Atanassov’s Intuitionistic Fuzzy Sets in a Decision Making Model
Atanassov’s intuitionistic fuzzy sets and especially his intuitionistic fuzzy relations are tools that make it possible to model effectively imperfect information that we meet in many real-life situations.
Pękala Barbara +2 more
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Goal programming approaches to deriving interval fuzzy preference relations [PDF]
This article investigates the consistency of interval fuzzy preference relations based on interval arithmetic, and new definitions are introduced for additive consistent, multiplicative consistent and weakly transitive interval fuzzy preference relations.
Li, Kevin W., Dr., Wang, Zhou-Jing
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Consistency test and weight generation for additive interval fuzzy preference relations [PDF]
Some simple yet pragmatic methods of consistency test are developed to check whether an interval fuzzy preference relation is consistent. Based on the definition of additive consistent fuzzy preference relations proposed by Tanino (Fuzzy Sets Syst 12:117–
Li, Kevin, Wang, Huimin, Xu, Yejun
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Incomplete interval fuzzy preference relations and their applications [PDF]
This paper investigates incomplete interval fuzzy preference relations. A characterization, which is proposed by Herrera-Viedma et al. (2004), of the additive consistency property of the fuzzy preference relations is extended to a more general case. This
Li, Kevin, Wang, Huimin, Xu, Yejun
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This study describes a consistency-based approach for multiperson decision-making (MPDM) in which decision-makers’ suggestions are expressed as incomplete interval-valued fuzzy preference relations. The presented approach utilizes Lukasiewicz’s t-norm in
Xiaodong Yu +4 more
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