Doubt fuzzy ideals of BF-algebra

IOSR Journal of Mathematics, 2016

In this paper, we introduce the notion of cubic fuzzy H-ideals in BF-algebras and prove some interesting properties.

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.

International Journal of Mathematics Trends and Technology, 2016

The concept of fuzzy ideals in BEalgebra have been introduced by Y. B. Jun, K. J. Lee and S. Z. Song in 2008-09. They investigated characteristic property of a fuzzy ideal and developed several properties. Here we study the concept of fuzzy ideals in Cartesian product of BEalgebra and the BEalgebra of all functions defined on a BEalgebra.

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.

The notion of interval-valued intuitionistic fuzzy sets was first introduced by Atanassov and Gargov as a generalization of both interval-valued fuzzy sets and intuitionistic fuzzy sets. Satyanarayana et. al., applied the concept of interval-valued intuitionistic fuzzy ideals and interval-valued intuitionistic fuzzy dual ideals to BF-algebras. In this paper, we introduce the notion of fully invariant and characteristic interval-valued intuitionistic fuzzy dual ideals of BF-algebras and investigate some of its properties.

The notion of interval-valued intuitionistic fuzzy sets was first introduced by Atanassov and Gargov as a generalization of both interval-valued fuzzy sets and intuitionistic fuzzy sets. Satyanarayana et. al., applied the concept of interval-valued intuitionistic fuzzy ideals and interval-valued intuitionistic fuzzy dual ideals to BF-algebras. In this paper, we introduce the notion of fully invariant and characteristic interval-valued intuitionistic fuzzy dual ideals of BF-algebras and investigate some of its properties.

The Scientific World Journal, 2015

The notions of an ideal and a fuzzy ideal in BN-algebras are introduced. The properties and characterizations of them are investigated. The concepts of normal ideals and normal congruences of a BN-algebra are also studied, the properties of them are displayed, and a one-to-one correspondence between them is presented. Conditions for a fuzzy set to be a fuzzy ideal are given. The relationships between ideals and fuzzy ideals of a BN-algebra are established. The homomorphic properties of fuzzy ideals of a BN-algebra are provided. Finally, characterizations of Noetherian BN-algebras and Artinian BN-algebras via fuzzy ideals are obtained.

2016

In this paper, we define the notion of Fuzzy BP-ideal. We discuss the properties of Fuzzy BP-ideals and prove some results. AMS subject classification: 03E72, 06F35, 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

2010

The fuzzification of ideals in BE-algebras is considered, and several properties are investigated. Characterizations of a fuzzy ideal are provided.