Displaying similar documents to “Fuzzy sets and small systems”

The fuzzy metric space based on fuzzy measure

Jialiang Xie, Qingguo Li, Shuili Chen, Huan Huang (2016)

Open Mathematics

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In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.

Fixed points of fuzzy monotone maps

Ismat Beg (1999)

Archivum Mathematicum

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The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.

A fuzzy version of Tarski's fixpoint theorem

Abdelkader Stouti (2004)

Archivum Mathematicum

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A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.

Divergence measure between fuzzy sets using cardinality

Vladimír Kobza (2017)

Kybernetika

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In this paper we extend the concept of measuring difference between two fuzzy subsets defined on a finite universe. The first main section is devoted to the local divergence measures. We propose a divergence measure based on the scalar cardinalities of fuzzy sets with respect to the basic axioms. In the next step we introduce the divergence based on the generating function and the appropriate distances. The other approach to the divergence measure is motivated by class of the rational...