Fuzzy Soft Multiset Theory

Shawkat Alkhazaleh · Abdul Razak Salleh

53 citations0/0 files storedAbstract and Applied Analysis

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

Abstract

In 1999 Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh et al. in 2011 introduced the definition of a soft multiset as a generalization of Molodtsov′s soft set. In this paper we give the definition of fuzzy soft multiset as a combination of soft multiset and fuzzy set and study its properties and operations. We give examples for these concepts. Basic properties of the operations are also given. An application of this theory in decision‐making problems is shown.

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1999Soft set theory—First results 2002An application of soft sets in a decision making problem 2007A fuzzy soft set theoretic approach to decision making problems 2001FUZZY SOFT SETS 2005The parameterization reduction of soft sets and its applications 2011Possibility Fuzzy Soft Set 2011Soft Expert Sets 2011Soft Multisets Theory

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