Results 261 to 270 of about 63,851 (293)

Prioritization of Incomplete Fuzzy Preference Relation

2008
The concept of incomplete fuzzy preference relation is discussed in this paper. We focus on additive consistent incomplete fuzzy preference relations, in which the correspondence between priority vector and incomplete fuzzy preference relation is investigated. We find that an additive consistent incomplete fuzzy preference relation does not imply there
Hsuan-Shih Lee, Pei-Di Shen, Wen-Li Chyr
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Preference Relations of Trapezoidal Fuzzy Numbers

2013
As described in Chapter 5, qualitative information, such as that conveyed in outstanding, good and poor, is often used to assess qualitative variables, human moral, the performance of certain equipment, etc. In any fuzzy decision making, the available qualitative information is generally characterized by trapezoidal fuzzy numbers, triangular fuzzy ...
Zaiwu Gong, Yi Lin, Tianxiang Yao
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Relevant Theories of Reciprocal Preference and Fuzzy Preference Relations

2013
In multiple-attribute decision making, fuzzy theory is very helpful for dealing with the fuzziness widely existing human judgments. Usually, decision makers obtain their subjective opinions by comparing each pair of decision alternatives and then constructing a rational (consistent) judgment matrix, known as a preference relation (PR) (Saaty, 1980; Xu,
Zaiwu Gong, Yi Lin, Tianxiang Yao
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Transitivity-related properties of fuzzy strict preference relations

Proceedings Joint 9th IFSA World Congress and 20th NAFIPS International Conference (Cat. No. 01TH8569), 2002
Given a fuzzy relation, S. Ovchinnikov and M. Roubens (1991) introduce a very general definition of fuzzy strict preference. The author investigates its transitivity-related properties including weak transitivity, consistency, acyclicity, etc.
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Extracting Strict Orders from Fuzzy Preference Relations

2003
Since crisp relations are too poor to represent the human way of reasoning, we often use fuzzy relations in preference modelling and multicriteria decision support. At the final stage, the decision maker expects a crisp answer to his problems. Many solutions have been proposed to perform this fuzziness dissolution step.
Koen Maes, Bernard De Baets
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Intuitionistic Fuzzy Preference Relations and Hypergroups

2013
In this paper we present a connection between intuitionistic fuzzy relations and hypergroups. In particular, we construct a hypergroup associated with a binary relation naturally induced by an intuitionistic fuzzy relation. We present some of its properties, investigating when it is a join space or a reduced hypergroup, in the framework of the ...
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Fuzzy Preference Relations Based on Differences

2010
In this paper we introduce quaternary fuzzy relations in order to describe difference structures. Three models are developed and studied, based on three different interpretations of an implication. Functional forms of the quaternary relation are determined by solutions of functional equations of the same type.
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Preference relation on fuzzy utilities based on fuzzy leftness relation on intervals

Fuzzy Sets and Systems, 1998
Abstract We define a new preference relation μ P ( x , y ) between two fuzzy numbers or utilities x and y , based on the fuzzy leftness relationship between intervals. A key property of μ P ( x , y ) is that it satisfies the well-known min-transitivity property: μ P ( x , z ) ⩾ min{( μ P ( x , y ), μ P ( y , z )}; the previous definitions
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Einstein consistency of fuzzy preference relations

Journal of Intelligent & Fuzzy Systems
Pairwise fuzzy preference matrices can be constructed using expert ratings. The number of pairwise preference values to be specified by the experts increases quadratically with the number of options. Consistency (transitivity) allows to reduce this quadratic complexity to linear complexity which makes this approach feasible also for large scale ...
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Fuzzy Preference Queries To Relational Databases

2011
Pivert, Olivier, Bosc, Patrick
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