A bridge construction from Sheffer stroke basic algebras to MTL-algebras

Abstract

In this study, we bridge over from Sheffer stroke basic algebras to MTL-algebras by means of defining all operations only via Sheffer stroke operation. We also give some equalities and inequalities which are used in this construction. Furthermore, we deal with construction relations between other algebraic structures as BL-algebras, MV-algebras and Gödel algebras and Sheffer stroke basic algebras.

Keywords

• Sheffer stroke basic algebras,MTL-algebras,MV-algebras,BL-algebras

Sheffer stroke temel cebirlerinden MTL-cebirlerine bir köprü inşası

Abstract

Bu çalışmada, MTL-cebirlerini oluşturan tüm operatörleri sadece Sheffer stroke operatörü yardımıyla tanımlayarak, Sheffer stroke temel cebirlerden MTL-cebirlerine bir köprü inşası oluşturduk. Ayrıca, bu inşa süresince kullanılacak bazı eşitlikler ve eşitsizlikleri verdik. Bunun yanı sıra, BL-cebirleri, MV-cebirleri ve Gödel cebirleri gibi cebirsel yapılar ile Sheffer stroke temel cebirleri arasındaki yapı ilişkilerini de ele aldık.

Keywords

• Sheffer stroke temel cebirleri,MTL-cebirleri,BL-cebirleri,MV-cebirleri,Gödel cebirleri

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