Some Algebraic Properties of Generalized Fuzzy Rough Approximations Derived by Fuzzy Set-Valued Homomorphism of LA-G-Semigroups

Abstract

In this paper we define the concept of fuzzy set valued homomorphism of LA- G-semigroups and mention some features of them. We also investigate the approximations of a generalized fuzzy approximation space constructed on LA-G-semigroups and derived by fuzzy set valued homomorphisms of LA-G-semigroups. Especially, we focus on some algebraic properties of fuzzy subsets in terms of protection of some properties under these approximations.

Keywords

• Fuzzy set valued homomorphism,Generalized fuzzy approximation space,Fuzzy LA-G-semigroups,Generalized fuzzy approximation space

Bulanık Küme Değerli LA-G-Yarıgrup Homomorfileri ile Türetilmiş Genelleştirilmiş Bulanık Kaba Yaklaşımların Bazı Cebirsel Özellikleri

Abstract

Bu çalışmada bulanık küme değerli LA-Gamma-yarıgrup homomorfisi kavramını tanımlayacağız ve onların bazı özelliklerine değineceğiz. Ayrıca LA-Gamma-yarıgruplar üzerine inşa edilmiş ve bulanık küme değerli LA-Gamma-yarıgrup homomorfisi ile üretilmiş genelleştirilmiş bulanık yaklaşım uzayının yaklaşımlarını araştıracağız. Özellikle, bu yaklaşımlar altında bazı özelliklerin korunması açısından bulanık alt kümelerin bazı cebirsel özelliklerine odaklanacağız.

Keywords

• Bulanık Küme değerli homomorfi,Bulanık LA-G-semigoup,Genelleştirilmiş bulanık yaklaşım uzayı

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