Jñānābha‎, Vol. 50 (1) (2020), 102-114

ON SOFT AND FUZZY SOFT RELATIONS WITH THEIR APPLICATIONS

By

Seema Singh
Department of Statistics, M. D. University, Rohtak-124001, Haryana, India
Email:seemamotsara2@gmail.com
D. S. Hooda
Honorary Professor of Mathematics, G. J. University of Science and
Technology, Hisar- 125001, Haryana, India
Corresponding Author D.S. Hooda
Email:ds hooda@rediffmail.com
S. C. Malik
Department of Statistics, M. D. University, Rohtak-124001, Haryana, India
Email:sc malik@rediffmail.com
(Received : March 08, 2020 ; Revised: May 05, 2020)


Abstract

In our day to day life we face many problems which are abstract or vague in nature. These problems cannot be solved only by using simple mathematical tools. To deal with such kind of problems a new technique popularly known as Fuzzy Set Theory was discovered. Fuzzy set is the generalization of crisp set and is used in almost every field of life including Medical Sciences, Business, Administration, Social Science and Operation Research. Later on, a new concept of parameterization of power set of the universal set was introduced. Consequently, Fuzzy Soft Set Theory was defined by embedding Fuzzy Set and Soft Set. In the present communication fuzzy binary relation is described and its applications are studied. The concepts of soft and fuzzy soft relations are also defined with their applications in decision making problems.

2010 Mathematics Subject Classifications: 03E72, 03E75, 62C86, 11M50.
Keywords and phrases: Fuzzy Set, Soft Set, Fuzzy Soft Set, Soft Relation and Fuzzy Soft Relation, Decision making.