Fuzzy Binary Rough Set

Yu Ru Syau, En Bing Lin, Churn Jung Liau

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)317-329
Number of pages13
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume28
Issue number2
DOIs
StatePublished - Apr 1 2020

Keywords

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

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