Topic
Fuzzy number
About: Fuzzy number is a research topic. Over the lifetime, 35606 publications have been published within this topic receiving 972544 citations.
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TL;DR: This work investigates the problem of employing expert opinion to rank alternatives across a set of criteria and employs fuzzy arithmetic to compute an issue's fuzzy ranking.
492 citations
TL;DR: The results obtained in part I of the paper are specialized to the case of discrete fuzzy random variables and algorithms are derived for determining expectations, fuzzy probabilities, fuzzy conditional expectations and fuzzy conditional probabilities related to discrete fuzzyrandom variables.
491 citations
Book•
01 Jan 1989
TL;DR: A survey of fundamental notions fuzzy set theory the model of natural language semantics and linguistic variables fuzzy logic decision and control fuzzy systems fuzzy algorithms and programming languages other applications general problems of fuzzy set theorists are surveyed.
Abstract: Survey of fundamental notions fuzzy set theory the model of natural language semantics and linguistic variables fuzzy logic decision and control fuzzy systems fuzzy algorithms and programming languages other applications general problems of fuzzy set theory.
491 citations
TL;DR: A method is proposed for aggregating individual fuzzy opinions into a group fuzzy consensus opinion using the index of consensus of each expert to the other experts using a similarity measure.
489 citations
TL;DR: In this article, the notion of intuitionistic fuzzy t-norm and t-conorms is introduced, and under which conditions a similar representation theorem can be obtained, and it has been shown that T is the /spl phi/-transform of the Lukasiewicz tnorm.
Abstract: Intuitionistic fuzzy sets form an extension of fuzzy sets: while fuzzy sets give a degree to which an element belongs to a set, intuitionistic fuzzy sets give both a membership degree and a nonmembership degree. The only constraint on those two degrees is that their sum must be smaller than or equal to 1. In fuzzy set theory, an important class of triangular norms and conorms is the class of continuous Archimedean nilpotent triangular norms and conorms. It has been shown that for such t-norms T there exists a permutation /spl phi/ of [0,1] such that T is the /spl phi/-transform of the Lukasiewicz t-norm. In this paper we introduce the notion of intuitionistic fuzzy t-norm and t-conorm, and investigate under which conditions a similar representation theorem can be obtained.
487 citations