Cubic fuzzy H-ideals in BF-Algebras

The aim of this paper is to introduce the notion of Doubt fuzzy ideals of BF -algebra and to investigate some of their basic 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

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.

IAEME, 2019

In this paper we introduce the notions of Fuzzy Ideals in BH-algebras and the notion of fuzzy dot Ideals of BH-algebras and investigate some of their results

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.

European Journal of Pure and Applied Mathematics, 2018

In this research article, we study some properties of doubt bipolar fuzzy H-ideals inBCK/ BCI-algebras. Doubt bipolar fuzzy H-ideals are connected with doubt bipolar fuzzy subalgebras and doubt bipolar fuzzy ideals. Moreover, doubt bipolar fuzzy H-ideals are characterized using doubt positive t-level cut set, doubt negative s-level cut set and H-Artin BCK/BCI-algebras.

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.

International Journal of Algebra, 2018

This paper introduces the concepts of fuzzy hyper B-ideals, fuzzy weak hyper B-ideals and fuzzy strong hyper B-ideals in hyper B-algebras and investigates the relationship among these fuzzy hyper B-ideals. Moreover, an example is provided showing that these fuzzy hyper Bideals are not fuzzy subhyper B-algebras and vice versa. Finally, some characterizations and properties of these fuzzy hyper B-ideals are provided with respect to hyper B-ideals, weak hyper B-ideals and strong hyper B-ideals.

Journal of the Indonesian Mathematical Society

In this paper, the concepts of fuzzy translation to fuzzy H-ideals in BCK/BCI-algebras are introduced. The notion of fuzzy extensions and fuzzy multiplications of fuzzy H-ideals with several related properties are investigated. Also, the relationships between fuzzy translations, fuzzy extensions and fuzzy multiplications of fuzzy H-ideals are investigated.

International Journal of Innovative Computing Information and Control, 2018

In this paper, we introduce the notion of doubt bipolar fuzzy H-ideals of BCK/BCI-algebras and investigate some interesting properties. We characterize strong doubt positive t-level cut set, strong doubt negative s-level cut set, homomorphism and equivalence relation by considering doubt bipolar fuzzy H-ideals of BCK/BCI-algebras. Characterization theorem of characteristic doubt bipolar fuzzy H-ideals is also discussed. Particularly, the notion of Cartesian product of two doubt bipolar fuzzy H-ideals by using max-min operations is introduced, and some related properties are studied. Ordinary H-ideals are linked with doubt bipolar fuzzy H-ideals by means of doubt level cut set of Cartesian product of two bipolar-valued fuzzy sets.