On Bipolar Fuzzy B-Subalgebras of B-Algebras

… -KOREAN MATHEMATICAL SOCIETY, 2003

In this paper, we classify the subalgebras by their family of level subalgebras in B-algebras.

Journal of Fuzzy Set Valued Analysis, 2012

In this paper, we apply the concept of t-norm T to fuzzy structure of B-algebras. The notion of a fuzzy B-subalgebra of B-algebras with respect to t-norm is introduced and several related properties are investigated. The direct product and T-product of T-fuzzy subalgebra of B-algebra is investigated.

International Mathematical Forum, 2010

The notion of an T H-interval-valued fuzzy BH-subalgebra in a BHalgebra is introduced, and related properties are investigated.

The notions of bipolar fuzzy subalgebras and bipolar fuzzy closed ideals in BCH-algebras are introduced, and related properties are investigated. Relations between a bipolar fuzzy subalgebra and a bipolar fuzzy closed ideal are considered. Conditions for a bipolar fuzzy subalgebra to be a bipolar fuzzy closed ideal are provided. Characterizations of bipolar fuzzy closed ideals are discussed.

IRA-International Journal of Applied Sciences (ISSN 2455-4499), 2016

In this paper, we define the notion of L-Fuzzy BP-Algebras. We discuss the properties of L-Fuzzy BP-subalgebras and prove results on the notion of Intersection of L-fuzzy BP-subalgebras and Cartesian product of L- fuzzy BP-subalgebras.

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.

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

2014

In this paper, the notions of fuzzy dot subalgebras, fuzzy normal dot subalgebras and fuzzy dot ideals of B-algebras are introduced and investigated some of their properties. The homomorphic image and inverse image of fuzzy dot subalgebras and fuzzy dot ideals are studied. Also introduced the notion of fuzzy relations on the family of fuzzy dot subalgebras and fuzzy dot ideals of B-algebras and investigated some related properties. c ©2014 World Academic Press, UK. All rights reserved.

2009

In this note the notion of interval-valued fuzzy BF-algebras (briefly, i-v fuzzy BF-algebras), the level and strong level BF-subalgebra is introduced. Then we state and prove some theorems which determine the relationship between these notions and BF-subalgebras. The images and inverse images of i-v fuzzy BF-subalgebras are defined, and how the homomorphic images and inverse images of i-v fuzzy BF-subalgebra becomes i-v fuzzy BF-algebras are studied.

2018

The notions of doubt bipolar fuzzy subalgebras and (closed) doubt bipolar fuzzy ideals are introduced, and related properties are investigated. Characterizations of a doubt bipolar fuzzy subalgebra and a doubt bipolar fuzzy ideal are given, and relations between a doubt bipolar fuzzy subalgebra and a doubt bipolar fuzzy ideal are discussed. The concepts of homomorphic preimages and doubt images of doubt bipolar fuzzy ideals in BCK/BCIalgebras are investigated. Conditions for a doubt bipolar fuzzy ideal to be a closed doubt bipolar fuzzy ideal are provided.