Hesitant fuzzy soft sets

K.V. Babitha · Sunil Jacob John

59 citations0/0 files storedDergiPark (Istanbul University)

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Fuzzy and Soft Set Theory Rough Sets and Fuzzy Logic Fuzzy Systems and Optimization

Abstract

– A new hybrid structure- hesitant fuzzy soft set, involving soft set is introduced. Soft set is relatively a new approach initiated by Molodtsov in 1999 to deal impreciseness and uncertainty. Hesitant fuzzy set is a generalization of fuzzy set whose membership is a subset of [0,1]. This paper is an endeavor to establish a link between soft sets and hesitant fuzzy sets. Basic operation such as intersection, union, compliment is defined and De Morgan’s law is also proved. It also discusses its use in decision making problem

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References

1996Fuzzy sets 1986Intuitionistic fuzzy sets 1980Fuzzy Sets and Systems - Theory and Applications 1999Soft set theory—First results 2010Hesitant fuzzy sets 2003Soft set theory 2002An application of soft sets in a decision making problem 2010Hesitant fuzzy information aggregation in decision making

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2018Improving decision making approaches based on fuzzy soft sets and rough soft sets 2015Hesitant Fuzzy Soft Sets with Application in Multicriteria Group Decision Making Problems

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