Approximation Operators, Binary Relation and Basis Algebra in L-fuzzy Rough Sets

• Autorzy: Wu Z. , Li T. , Qin K. , Ruan D.
• Języki publikacji: EN

Abstrakty

EN

Approximation operators play a vital role in rough set theory. Their three elements, namely, binary relation in the universe, basis algebra and properties, are fundamental in the study of approximation operators. In this paper, the interrelations among the three elements of approximation operators in L-fuzzy rough sets are discussed under the constructive approach, the axiomatic approach and the basis algebra choosing approach respectively. In the constructive approach, the properties of the approximation operators depend on the basis algebra and the binary relation. In the axiomatic approach, the induced binary relation is influenced by the axiom set and the basis algebra. In the basis algebra choosing approach, the basis algebra is constructed by properties of approximation operators and specific binary relations.

Słowa kluczowe

EN

L-fuzzy rough sets; approximation operators; basis algebra; binary relation; residuated lattices

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2011
• Tom: Vol. 111, nr 1
• Strony: 47--63
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Wu Z.

autor

Li T.

autor

Qin K.

autor

Ruan D.

• School of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454001, China,

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