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Proceedings ArticleDOI

Ranking fuzzy subsets over the unit interval

Ronald R. Yager
- Vol. 17, Iss: 17, pp 1435-1437
TLDR
This work investigates the question of ranking fuzzy subsets in the unit interval by presenting some initial ideas and concepts toward a solution of this problem.
Abstract
We are interested in investigating the question of ranking fuzzy subsets in the unit interval. We present some initial ideas and concepts toward a solution of this problem.

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Citations
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Journal ArticleDOI

Reasonable properties for the ordering of fuzzy quantities (II)

TL;DR: It is proved that many fuzzy relations used for the comparison of fuzzy quantities satisfy some conditions stronger than acyclicity, so a widely applicable formulation to derive a total ranking order from a fuzzy relation is given.
Journal ArticleDOI

Linear programming with fuzzy parameters: an interactive method resolution

TL;DR: A fuzzy ranking method is used to rank the fuzzy objective values and to deal with the inequality relation on constraints in linear programming problems where all the coefficients are, in general, fuzzy numbers.
Journal ArticleDOI

Comparison of fuzzy numbers based on the probability measure of fuzzy events

TL;DR: In this paper the order of fuzzy numbers are determined based on the concept of probability measure of fuzzy events due to Zadeh, which considers both the mean and dispersion of alternatives and gives two groups of indicesbased on the uniform and the proportional probability distributions.
References
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Journal ArticleDOI

Fuzzy sets as a basis for a theory of possibility

TL;DR: The theory of possibility described in this paper is related to the theory of fuzzy sets by defining the concept of a possibility distribution as a fuzzy restriction which acts as an elastic constraint on the values that may be assigned to a variable.
Book ChapterDOI

Local and fuzzy logics

TL;DR: Fuzzy logic differs from conventional logical systems in that it aims at providing a model for approximate rather than precise reasoning as mentioned in this paper, and it can be seen as a form of probabilistic reasoning.
Journal ArticleDOI

A procedure for multiple-aspect decision making using fuzzy sets

TL;DR: The qualitative terms of the alternatives are represented quantitatively using fuzzy sots and then the fuzzy optimal alternative is computed and gives the relative merit of each alternative and thus helps in decision making.