Some aspects on cubic fuzzy β-subalgebra of β-algebra

Abstract

The theory of fuzzy set was introduced by Zadeh and he has shown meaningful applications of this notion in many fields of Engineering and Mathematical studies. Later Atanosov extended the fuzzy set into Intuitionistic fuzzy set by introducing a non-member. Recently the idea of cubic sets and related properties are investigated by Jun et al. All these fuzzy concepts were applied in various algebraic structures. Neggers and Kim presented the thought of β-algebras in which two operations are coupled in such a way that as to reflect the natural coupling which exists between the usual group operation. This study is to propose a new approach on a β-algebra using Cubic fuzzy set.

An overview of cubic intuitionistic β−subalgebras

“…The author discussed the relation between cubic interval valued intuitionistic fuzzy β−subalgebra and cubic intuitionistic fuzzy β−ideal and discussed the characterizations between cubic interval valued intuitionistic fuzzy β−subalgebra and cubic intuitionistic fuzzy β−ideal. Muralikrishna et al [13] described Some aspects on cubic fuzzy β-subalgebra of β-algebra. Recently, the concept of binormed intuitionistic fuzzy β-ideals of β-algebras initiated by Borumand Saeid et al [5] With all these inspiration, this paper provides the study of cubic intuitionistic β−subalgebras of β−subalgebras and presents some compelling results.…”

Multiplication and Translation of Cubic Β−ideals

“…Khalid et al [9] initiated the perception on translation and multiplication of a neutrosophic cubic set. Recently, Muralikrishna et al [11] exhibited some aspects on cubic fuzzy β−subalgebra of β−algebra. With all these inspiration and motivation, this work presents the notion of µ−multiplication and (a, b)−translation of cubic β−ideal and few of its associated results have been studied.…”