Jñānābha‎, Vol. 50 (2) (2020), (114-121)

APPLICATION OF INTERVAL VALUED FUZZY SET AND SOFT SET

 

By

1Abdul Rheem and  2Musheer Ahmad

Department of Applied Science and Humanities

Jamia Millia Islamia, New Delhi, India-110025

Email: 1abdulraheemsre84@gmail.com, 2mahmad@jmi.ac.in

(Received : June 09, 2020 ; Revised: November 01, 2020)

 

 

Molodtsov was a father of soft set approach. We can’t easily settle the membership degree in some practical application. So it must be much better to describe interval-valued data instead of explaining membership degree. In this paper, we introduce the latest approach of the interval-valued fuzzy soft set by combining the interval-valued fuzzy set and soft set models. This approach successfully follows distributive, associative and DeMorgan’s laws as well. In the end, a decision problem is solved by this approach.

 

2010 Mathematics Subject Classifications: 15B15; 03E72; 28E10

Keywords and phrases: Fuzzy soft set, Interval-valued fuzzy set, Interval-valued fuzzy soft set, Operation, Choice value.