Intuitionistic Fuzzy Ideals of KU-Semigroups

Journal of Physics: Conference Series, 2019

The aim of this paper is to introduce the notion of intuitionistic fuzzy (1,2)-ideals in semigroups and to investigate some of their properties. The characterizations of intuitionistic fuzzy (1,2)-ideals in semigroups are provided. It is shows that the intersection of two intuitionistic fuzzy (1,2)-ideals of semigroups is also an intuitionistic fuzzy (1,2)-ideal.

International Journal of Fuzzy Logic and Intelligent Systems, 2009

We introduce the concepts of intuitionistic fuzzy k-ideals and intuitionistic fuzzy prime k-ideals of a semiring. And we investigate some properties of them.

2012

In this paper, using t-norm ∆ and s-norm∇ we introduce the notion of generalized intuitionistic fuzzy bi-ideal, generalized intuitionistic fuzzy generalized bi-ideal and generalized intuitionistic fuzzy (1,2) ideal of a semigroup. We characterize different classes of semigroups by the properties of these fuzzy ideals.

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.

Soft Computing, 2008

We introduce the notion of intuitionistic fuzzy left k-ideals of semirings and investigate their properties and connections with left k-ideals of the corresponding semirings. Next we give some important characterizations of intuitionistic fuzzy left k-ideals of different type and describe various methods of constructions of such intuitionistic fuzzy sets. Finally, we propose some natural classification of intuitionistic fuzzy left k-ideals.

2019

We have studied some types of ideals in a KU-semigroup by using the concept of a bipolar fuzzy set. Bipolar fuzzy S-ideals and bipolar fuzzy k-ideals are introduced, and some properties are investigated. Also, some relations between a bipolar fuzzy k-ideal and k-ideal are discussed. Moreover, a bipolar fuzzy k-ideal under homomorphism and the product of two bipolar fuzzy k-ideals are studied.

Matrix Science Mathematic

2015

The importance of semigroups and their fuzzy subsystems is evident from their applications and significant role in several applied dis-ciplines like computer sciences, control engineering, error-correcting codes and fuzzy automata theory. In this paper, we give generalizations of in-tuitionistic fuzzy interior ideals of semigroups and introduced the notions of intuitionistic fuzzy interior ideals of type (V qk) and of semi-groups. The important mile stone of the present paper is to link ordinary intuitionistic fuzzy interior ideals, intuitionistic fuzzy interior ideals and (V qk)-intuitionistic fuzzy interior ideals. Moreover semigroups are characterized by the properties of these notions.

Matrix Science Mathematic

Annals of Pure and Applied Mathematics, 2017

A Q-fuzzy set is a mapping from [0,1] X Q × → where X is the universe of discourse and Q is a non-empty set. Some works has been emanated for this Q-fuzzy set. In all the above work the set 'Q' is treated as a non-empty set without any algebraic structure. This article presents an algebraic structure for Q-fuzzy set over a semiring named as 1 Q-fuzzy set and provide some properties and results.