Articlegold2014

Intuitionistic Fuzzy Soft Rough Set and Its Application in Decision Making

57 citations0/0 files storedAbstract and Applied Analysis

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Fuzzy and Soft Set Theory Rough Sets and Fuzzy Logic Mathematical Control Systems and Analysis

Abstract

The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. In this paper, we present concepts of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets, and investigate some properties of soft rough intuitionistic fuzzy sets and intuitionistic fuzzy soft rough sets in detail. Furthermore, classical representations of intuitionistic fuzzy soft rough approximation operators are presented. Finally, we develop an approach to intuitionistic fuzzy soft rough sets based on decision making and a numerical example is provided to illustrate the developed approach.

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References

1965Fuzzy sets 1996Fuzzy sets 1986Intuitionistic fuzzy sets 1999Soft set theory—First results 2007Intuitionistic Fuzzy Aggregation Operators 2006Some geometric aggregation operators based on intuitionistic fuzzy sets 2003Soft set theory 1989More on intuitionistic fuzzy sets

Cited by

2015Interval-Valued Neutrosophic Soft Rough Sets 2022Multi-attribute group decision making based on T-spherical fuzzy soft rough average aggregation operators 2019Pythagorean fuzzy soft rough sets and their applications in decision-making 2019Soft rough Pythagorean m-polar fuzzy sets and Pythagorean m-polar fuzzy soft rough sets with application to decision-making 2021Spherical Linear Diophantine Fuzzy Soft Rough Sets with Multi-Criteria Decision Making

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