On Generalized Interval Valued Fuzzy Soft Matrices

Fazal Dayan

doi:10.11648/j.ajmcm.20180301.11

Abstract

Interval valued fuzzy soft set was a combination of the interval valued fuzzy set and soft set, while in generalized interval valued fuzzy soft set a degree was attached with the parameterization of fuzzy sets in defining an interval valued fuzzy soft set. In this paper we introduced the concept of generalized interval valued fuzzy soft matrices. We discussed some of its types and some operations. We also discussed about the similarity of two generalized interval valued fuzzy soft matrices.

Highlights

A lot of problems in our real life in economics, social sciences, medical sciences, environmental sciences and engineering etc. involve various uncertainties
Saeed [17] defined some new types of interval valued fuzzy soft matrix and gave an application of Interval- valued fuzzy soft matrix (IVFSM) in a decision making problem
In this paper we extended the concept of generalized interval valued fuzzy soft set (GIVFSS) and introduced generalized interval valued fuzzy soft matrix (GIVFSM)

Summary

Introduction

A lot of problems in our real life in economics, social sciences, medical sciences, environmental sciences and engineering etc. involve various uncertainties. They discussed various operations and properties of GIVFSS Some of these are GIVFS subset, GIVFS equal set, generalized null interval valued fuzzy soft set (GNIVFS), generalized absolute interval valued fuzzy soft set (GAIVFS), compliment of GIVFSS, union of GIVFSS’s and intersection of GIVFSS’s. They defined AND and OR operations on GIVFSS and similarity measure of two GIVFSS’s. Saeed [17] defined some new types of interval valued fuzzy soft matrix and gave an application of IVFSM in a decision making problem. Anjan Mukherjee and Sadhan Sarkar [18, 19] introduced Similarity measures for interval-valued intuitionistic fuzzy soft sets and gave applications in medical diagnosis problems. We discussed some operators on the basis of weights and some of their properties

Some Basic Definitions

Generalized Interval Valued Fuzzy Soft Matrices

Some Operations on GIVFSM’s

Similarity Between Two GIVESM’s

Conclusion