Fuzzy Binary Rough Set

Yu Ru Syau; En Bing Lin; Churn Jung Liau

doi:10.1142/S0218488520500130

Fuzzy Binary Rough Set

Yu Ru Syau, En Bing Lin, Churn Jung Liau

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we provide a definition of α-fuzzified lower and upper approximations for fuzzy sets based on the α-cut of fuzzy binary relations. We show that the definition is a proper generalization of the previous one for approximations of crisp sets and compare it with an existing definition in the context of fuzzy tolerance relation.

Original language	English
Pages (from-to)	317-329
Number of pages	13
Journal	International Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume	28
Issue number	2
DOIs	https://doi.org/10.1142/S0218488520500130
State	Published - Apr 1 2020

Keywords

Fuzzy rough sets
fuzzy relations
fuzzy sets
rough sets
α-cut

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10.1142/S0218488520500130

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keywords = "Fuzzy rough sets, fuzzy relations, fuzzy sets, rough sets, α-cut",

author = "Syau, {Yu Ru} and Lin, {En Bing} and Liau, {Churn Jung}",

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KW - fuzzy relations

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KW - α-cut

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Fuzzy Binary Rough Set

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Keywords

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