Open AccessSome aspects on cubic fuzzy β-subalgebra of β-algebra
Author(s) -
P. Muralikrishna,
R. Vinodkumar,
G. Palani
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1597/1/012018
Subject(s) - fuzzy logic , subalgebra , algebra over a field , algebraic structure , fuzzy set , mathematics , set (abstract data type) , abstract algebra , algebraic number , fuzzy mathematics , fuzzy subalgebra , pure mathematics , fuzzy set operations , discrete mathematics , computer science , artificial intelligence , mathematical analysis , programming language
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.