t-Intuitionistic Fuzzy H-Ideals Of BCK-Algebras
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Abstract
Objectives: The aim of this paper is to introduce the concept of t-intuitionistic fuzzy H-ideals of BCK-algebras as a generalization of intuitionistic fuzzy H-ideals BCK-algebras 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-ideal of BCK-algebra becomes a intuitionistic fuzzy H-ideal of BCK-algebra.
Findings: Here we define t-intuitionistic fuzzy H-ideals of BCK–algebras. Some noble properties of t-intuitionistic fuzzy H-ideals are stated and proved. We observe that t-intuitionistic fuzzy H-ideal of BCK –algebras is invariant under modal operators and homomorphic 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 intelligency etc.