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

  • Ibrahim Senturk
  • Tahsin Oner Ege University
Keywords: Sheffer stroke MTL-algebra, Very True Operator, Reduction, BL-algebra, MV-algebra, Gödel algebra


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.