Textures and Fuzzy Rough Sets

• Autorzy: Diker M.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider the Alexandroff topology for texture spaces. We prove that there exists a one-to-one correspondence between the Alexandroff ditopologies, and the reflexive and transitive direlations on a given texture. Using textural fuzzy direlations on a fuzzy lattice, we obtain a fuzzy rough set algebra where the inverse fuzzy relation and inverse fuzzy corelation are the upper approximation and lower approximation, respectively. In a special case, this gives us the fuzzy rough sets which are calculated with respect to the min-t norm introduced by S. Gottwald, or the fuzzy rough sets which are considered by D. Pei.

Słowa kluczowe

EN

Alexandroff topology; approximation operators; direlation; fuzzy rough set algebra; rough set algebra; textural fuzzy direlation; textural rough set algebra; texture space

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2011
• Tom: Vol. 108, nr 3/4
• Strony: 305--336
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Diker M.

• Department of Mathematics, Hacettepe University, 06532 Beytepe, Ankara, Turkey,

Bibliografia

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