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

Yıl 2019, Cilt: 23 Sayı: 2, 284 - 291, 25.08.2019

Canan Akın Kübra Eyüboğlu

https://doi.org/10.19113/sdufenbed.441444

Öz

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.

Anahtar Kelimeler

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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