Global Journal of Pure and Applied Mathematics.
ISSN 0973-1768 Volume 15, Number 6 (2019), pp. 1055-1067
© Research India Publications
https://dx.doi.org/10.37622/GJPAM/15.6.2019.1055-1067
Soft Sets - Motivation and Overview
B.V.S.T.Sai
*
, P.D.N.Srinivasu, N.V.E.S.Murthy
Department of Mathematics A.U. College of Science and Technology Andhra
University, Visakhapatnam-530003, A.P. State, India.
Abstract
In this paper we present some of the main developments in the soft set theory
as well as in the theory of algebraic structures and soft topology as a review
of literature motivated by Molodsov.
Keywords: Soft set, Fuzzy Soft set, Soft operations, Soft algebraic
structures and Soft Topological Spaces.
1. INTRODUCTION
The problem of uncertainty or vagueness has been tackled for several years by
philosophers, logicians, mathematicians and computer scientists. Many practical
problems in engineering, economics, social science, environmental science, and
medical science etc., cannot be resolved by classical methods due to these methods
inherent difficulties such as inadequacy of the theories of parameterization tools.
To understand and manipulate imperfect knowledge there are many ways and the
most successful approach to tackle this problem is the Fuzzy set theory. In 1965 L.
A. Zadeh[102] introduced Fuzzy set theory and he described the control problems of
complex systems and dealing with fuzzy system. The idea and the concept of
Fuzzy set were introduced by Zadeh and he used the unit interval [0,1] to describe
* Corresponding Author