Journal of Generalized Intuitionistic Fuzzy BE-Algebras

2015

In this paper, we introduce the notion of (∊,∊˅q k)-intuitionistic fuzzy subalgebrasas a generalization of an (∊,∊˅q)-intuitionistic fuzzy subalgebrasin BE-algebras. Characterizations (∊,∊˅q k)-intuitionistic fuzzy subalgebrasare established. Finally, we show that the Cartesian product of (∊,∊˅q k)-intuitionistic fuzzy subalgebras is an (∊,∊˅q k)-intuitionistic fuzzy subalgebras.

2010

In this paper we discuss the notions of Intuitionistic L-fuzzy subalgebras of a BG-algebras and some of their basic properties.

The aim of this paper is to introduced the notion of t-intuitionistic fuzzy subalgebra and t-intuitionistic fuzzy normal subalgebra of BG-algebras. We state and prove some theorems in tintuitionistic fuzzy subalgebra and t-intuitionistic fuzzy normal subalgebra in BG-algebras. The homomorphic image and inverse image are investigated in both t-intuitionistic fuzzy subalgebra and normal subalgebras

Journal of Inequalities and Applications, 2013

This paper deals with a special class of hyperalgebra, called Boolean hyperalgebra, which is redefined in it. We introduce the concepts of generalized intuitionistic fuzzy subhyperalgebras and generalized intuitionistic fuzzy hyperideals of Boolean hyperalgebras. A necessary and sufficient condition for an intuitionistic fuzzy subset of the Boolean hyperalgebra to be a generalized intuitionistic fuzzy subhyperalgebra (hyperideal) is proved. Images and inverse-images of generalized intuitionistic fuzzy subhyperalgebra (hyperideal) under Boolean hyperalgebra homomorphism are studied.

In this paper, we introduce the notion of interval-valued intuitionistic fuzzy subalgebras of BG -algebra.

International Mathematical Forum, 2006

The intuitionistic Q-fuzzification of the concept of subalgebras in BCK/BCI-algebra is considered, and some related properties are investigated.

European Journal of Pure and Applied Mathematics

In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a $q_{(t,s)}$-level set of intuitionistic fuzzy set and an intuitionistic fuzzy ordered subalgebra.

In this paper, the intuitionistic L -fuzzification of G -subalgebras are considered and some related properties are investigated. A characterization of intuitionistic L -fuzzy G -algebras are given. We classified the G -subalgebras by their family of level subalgebras of G -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.

Mathematics, 2020

In this paper, we discuss the notion of an m-polar fuzzy (normal) subalgebra in B-algebras and its related properties. We consider characterizations of an m-polar fuzzy (normal) subalgebra. We define the concept of an m-polar intuitionistic fuzzy (normal) subalgebra in a B-algebra, and we characterize the m-polar intuitionistic fuzzy (normal) subalgebra. Given an m-polar fuzzy set, we construct a simple m-polar fuzzy set and discuss on m-polar intuitionistic fuzzy subalgebras of B-algebras.