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Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2019 / Cilt: 23 - Sayı: 2

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

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

Canan AKIN
Kübra EYÜBOĞLU
Pages
284–291
Publication Date
2019-08-25
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Especially, we focus on some algebraic properties of fuzzy subsets in terms of protection of some properties under these approximations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we define the concept of fuzzy set valued homomorphism of LA- G-semigroups and mention some features of them.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Especially, we focus on some algebraic properties of fuzzy subsets in terms of protection of some properties under these approximations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bulanık Küme değerli homomorfi · Bulanık LA-G-semigoup · Genelleştirilmiş bulanık yaklaşım uzayı

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.

Özet

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.

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Cite This Article

AKIN, C., EYÜBOĞLU, K. (2019). Some Algebraic Properties of Generalized Fuzzy Rough Approximations Derived by Fuzzy Set-Valued Homomorphism of LA-G-Semigroups. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 23 - Sayı: 2, 284–291. https://ajindex.com/articles/701102

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