T-INTUITIONISTIC FUZZY H-IDEALS OF BCK-ALGEBRAS

摘要

Objectives: The aim of this paper is to introduce the concept of t-intuitionistic fuzzy H-ideais of BCK-algcbras as a generalization of intuitionistic fuzzy H-ideals BCK-algcbras and study the effect of some modal operators on t-intuitionistic fuzzy H-ideals of BCK-algebras. Methods: The method adapted to study the objectives is analytic/logical method. Some examples and counter examples are provided in support of theorem and remarks etc. We observe that if t=1 the t-intuitionistic fuzzy H-idcal of BCK-algebra becomes a intuitionistic fuzzy H-ideal of BCK-aluebra Findings: Here we define t-intuitionistic fuzzy H-ideals of BCK-algebras. Some noble properties of t-intuitionistic fuzzy H-ideals are staled and proved. We observe that t-intuitionistic fuzzy H-ideal of BCK - algebras is invariant under modal operators and homumorphic mappings. We proved that the intersection and cartesian product of two or more t-intuitionistic fuzzy H-ideals of BCK- algebras is again a t-intuitionistic fuzzy H-ideal. Application/Improvements: t-intuitionistic fuzzy H-ideal of BCK-algebra can be used in medical diagnosis, image processing, artficial inlelligency etc.