Results 131 to 140 of about 1,724 (163)

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 Coefficients and Fuzzy Preference Relations in Models of Decision Making

2003
Analysis of models is considered as part of a general approach to solving a wide class of optimization problems with fuzzy coefficients. This approach consists in formulating and solving one and the same problem within the framework of interrelated models to maximally cut off dominated alternatives.
Petr Ekel, Efim A. Galperin, Reinaldo M. Palhares, Cláudio Campos, Marina Silva   +4 more
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Incomplete interval valued fuzzy preference relations

Information Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asma Khalid, Ismat Beg
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A new fuzzy ranking method based on fuzzy preference relation

SMC 2000 Conference Proceedings. 2000 IEEE International Conference on Systems, Man and Cybernetics. 'Cybernetics Evolving to Systems, Humans, Organizations, and their Complex Interactions' (Cat. No.00CH37166), 2002
In this paper, we propose a new fuzzy preference relation for fuzzy ranking, such that it is easy to compute and such that the uncertainty of fuzzy numbers can be maintained during the computation. Our ranking method is a good one since it possesses the following properties: (1) fuzzy preference presentation; (2) rationality of preference ordering; (3)
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The Ordinal Consistency of a Hesitant Fuzzy Preference Relation

Journal of Interconnection Networks
An efficient solution to the misleading solutions of decision-making problems is the study of consistency when the decision makers express their opinions by means of fuzzy preference relations. To elucidate the consistency of HFPRs, the S-ordinal consistency of HFPRs was proposed, and S-OCI was also proposed to evaluate the degree of consistency of a ...
Xue Feng, Shengling Geng, Banghe Han
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Fuzzy Preference Relations and Multiobjective Decision Making

2007
Analysis of models is considered as part of a general approach to solving optimization problems with fuzzy coefficients. This approach consists in formulating and solving one and the same problem within the framework of mutually interrelated models with constructing equivalent analogs with fuzzy coefficients in objective functions alone.
Petr Ekel, Carlos Augusto Paiva da Silva Martins, Cláudio Campos, Fernando H. Schuffner Neto, Reinaldo M. Palhares   +4 more
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Transitivity of fuzzy preference relations – an empirical study

Fuzzy Sets and Systems, 2001
Based on an experiment we show that human preferences, when represented by fuzzy relations, may violate transitivity. We define an index of transitivity and compute the degree to which the transitivity is violated.
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On fuzzy preference relation in group decision making

International Journal of Computer Mathematics, 2005
In this article, we propose a new property called ‘comparable’ for fuzzy preference relation. We show that if a fuzzy preference relation satisfies reciprocal, transitive and comparable, it needs only O(n) comparisons of fuzzy numbers to rank n fuzzy numbers with fuzzy preference relation, which is more competitive than traditional methods that needs ...
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On additive consistency of interval fuzzy preference relations

Computers & Industrial Engineering, 2017
Additive consistency of interval fuzzy preference relations is studied.Definitions provided by other authors are reviewed and drawbacks are pointed out.New definitions of additive consistency and additive weak consistency are proposed.The new definitions are invariant under permutation of objects.The new definitions preserve the additive reciprocity of
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