Intuitionistic Q-fuzzy Ideals of BG-Algebra

Afrika Matematika, 2013

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International Journal of Fuzzy Logic Systems, 2012

In this paper, we apply the concept of an interval-valued intuitionistic fuzzy set to ideals and closed ideals in BG-algebras. The notion of an interval-valued intuitionistic fuzzy closed ideal of a BG-algebra is introduced, and some related properties are investigated. Also, the product of interval-valued inntuitionistic fuzzy BG-algebra is investgated.

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.

2010

In this paper, we introduce the concept of intuitionistic fuzzy H-ideals in BCK-algebras and investigate some of its properties. Mathematics Subject Classification: 03E72, 03F55, 03G25

International journal of pure and applied mathematics, 2017

In papers [2, 3, 4, 5, 6] we studied the notion of fuzzy structures, fuzzy subalgebras, fuzzy ideals and L-fuzzy subalgebras and T-ideals of BP-Algebras. Motivated by the works of several researchers on Intuitionistic fuzzy structures on Algebras such as BCI, BCK, BG and BF algebras, in this paper we introduce the notion of Intuitionistic L-fuzzy ideals in BP-algebras. AMS Subject Classification: 03E72, 06F35, 03G25

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.

2010

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

Cogent Mathematics, 2016

In this paper, we consider the intuitionistic fuzzification of the concept of p-ideals in BCI-algebras and investigate some of their properties. Intuitionistic fuzzy p-ideals are connected with intuitionistic fuzzy ideals and intuitionistic fuzzy subalgebras. Moreover, intuitionistic fuzzy p-ideals are characterized using level subsets, homomorphic pre-images, and intuitionistic fuzzy ideal extensions.

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