Thiruveni, V., Kumari, P. Lakshmi, and Latha, K. B.
Subjects
ALGEBRA, TOPOLOGY, AXIOMS, FOUNDATIONS of projective geometry, MATHEMATICS
Abstract
An S-Topological BE-Algebras(STBE-Algebras) is a BE-Algebra equipped with a special type of topology that makes the operation (defined on it)as S-topological continuous. In this paper, we discuss the separation axioms on a STBE-Algebras. [ABSTRACT FROM AUTHOR]
In this paper, we present the initiative of type 3 multi fuzzy sets which is an extension of type3 fuzzy sets. we have attempted to propose an extension of type2 multi fuzzy sets into a type3 multi fuzzy sets. In the wake of characterizing type 3 multi fuzzy sets, we examine the algebraic properties of these sets including set-theoretic operation such as complement, inclusion, union, intersection with example. Also we illustrate some algebraic properties. [ABSTRACT FROM AUTHOR]
SET theory, SET-valued maps, FUZZY numbers, ALGEBRA, HOMOMORPHISMS
Abstract
A soft set can be calculated by a set-valued mapping that assigns precisely one crisp subset of the universe to each parameter. In 1998, X. Liu gave Axiomatic Fuzzy set structure and El-algebra. They pointed out that ordinary fuzzy concepts or human concepts can be represented through any molecular or atomic fuzzy concepts in El-algebra over any finite set of fuzzy concepts. However, this isn't the only way to represent transitive human ideas. The definition of soft sets was extended to El-algebra in this article by taking El-algebra as universe of discourse in soft sets, and certain properties of soft El-algebras were investigated. We also introduced homomorphism between two Elalgebras. [ABSTRACT FROM AUTHOR]
Published
2022
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