Bulanık Küme Degerli LA- ˘ Γ-Yarıgrup Homomorfileri ile Türetilmi¸s Genelle¸stirilmi¸s Bulanık Kaba Yakla¸sımların Bazı Cebirsel Özellikleri

Bu çalı¸smada bulanık küme degerli ˘ LA-Γ-yarıgrup homomorfisi kavramını tanımlayacagız ve onların bazı özelliklerine de ˘ ginece ˘ giz. Ayrıca ˘ LA-Γ-yarıgruplar üzerine in¸sa edilmi¸s ve bulanık küme degerli ˘ LA-Γ-yarıgrup homomorfisi ile üretilmi¸s genelle¸stirilmi¸s bulanık yakla¸sım uzayının yakla¸sımlarını ara¸stıracagız. Özellikle, bu yakla¸sımlar altında ˘ bazı özelliklerin korunması açısından bulanık alt kümelerin bazı cebirsel özelliklerine odaklanacagız.

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

In this paper we define the concept of fuzzy set valued homomorphism of LAΓ-semigroups and mention some features of them. We also investigate the approximationsof a generalized fuzzy approximation space constructed on LA-Γ-semigroups and derivedby fuzzy set valued homomorphisms of LA-Γ-semigroups. Especially, we focus on somealgebraic properties of fuzzy subsets in terms of protection of some properties under theseapproximations.

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