α-Translations of intuitionistic fuzzy (at-subalgebras) at-ideals on at-algebras

Abstract

In this paper, the concepts of α-translation of intuitionistic fuzzy AT-subalgebras and α-translation of intuitionistic fuzzy AT-ideals on AT-algebras are introduced. The notion of intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals with several related properties are investigated. Also the relationships between α-translation of intuitionistic fuzzy, intuitionistic fuzzy extensions and intuitionistic fuzzy multiplications of fuzzy AT-ideals are investigated.