Intuitionistic Fuzzy Bi-ideals of BCK-Algebras

2000

Abstract. We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra and investigate some related properties.

International Journal of Mathematics and Mathematical Sciences, 2000

We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra and investigate some related properties.

A JOURNAL OF COMPOSITION THEORY, 2019

In this paper, the notion of intuitionistic fuzzy Bi-Ideal of a ring are defined and discussed. Some of their properties are studied,

Matrix Science Mathematic

Advances in Mathematics: Scientific Journal, 2020

The main motivation of this paper is to introduce the concept of Interval valued Intuitionistic Fuzzy Bi-ideals in Boolean like semi-rings. We discuss the results of all these newly introduced structures in detail. We also obtain some characterisations and complete theorems for Boolean like semirings.

Journal of Inequalities and Applications, 2013

In this article, we try to obtain a more general form than (∈, ∈ ∨ q)-intuitionistic fuzzy bi-ideals in ordered semigroups.

Transstellar Journal , 2019

In this paper, we introduce the concept of-intuitionistic fuzzy ideal and-intuitionistic fuzzy ideal and study their properties.

2019

In this article, we introduce the notion of (∈,∈ ∨qk)-intuitionistic fuzzy subsemigroup, (∈,∈ ∨qk)-intuitionistic fuzzy left (resp. right) ideals, (∈,∈ ∨qk)-intuitionistic fuzzy bi-ideals and (∈,∈ ∨qk)-intuitionistic fuzzy (1, 2)-ideals and study some of its properties. We study the related properties of the (∈,∈ ∨qk)-intuitionistic fuzzy bi-ideals, (1, 2)-ideals and in particular, an (∈,∈ ∨qk)-fuzzy bi-ideals and (1, 2)-ideals in semigroups will be investigated.

Vol.5, No.1, January , 2015

In this paper, we introduce the concept of doubt intuitionistic fuzzy subalgebras and doubt intuitionistic fuzzy ideals in BCK/BCI-algebras. We show that an intuitionistic fuzzy subset of BCK/BCI-algebras is an intuitionistic fuzzy subalgebra and an intuitionistic fuzzy ideal if and only if the complement of this intuitionistic fuzzy subset is a doubt intuitionistic fuzzy subalgebra and a doubt intuitionistic fuzzy ideal. And at the same time we have established some common properties related to them. Keywords and phrases: BCK/BCI-algebras, doubt fuzzy subalgebra, doubt fuzzy ideal, doubt intuitionistic fuzzy subalgebra, doubt intuitionistic fuzzy ideal.