A construction of very true operator on Sheffer stroke MTL-algebras

Abstract

In this paper, we introduce Sheer stroke very true operator on MTL-algebras. We handle some fundamental properties of this operator. We obtain some equalities and inequalities which are used in our construction. Moreover, we give some relations among very true operator, supremum and inmum relations. Finally, we construct bridges among Sheer stroke MTL-algebras, BL-algebras, MV-algebras and Godel algebras by using them.