Annals of Fuzzy Mathematics and Informatics

The Natural Science Institute Wonkwang University (원광대학교 기초자연과학연구소)
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A study of hesitant fuzzy soft multiset theory

  • Onyeozili, I.A. (Department of Mathematics, University of Abuja) ;
  • Balami, Holyheavy (Department of Mathematical Sciences, Federal University Dutsin-Ma) ;
  • Peter, C.M. (Department of Mathematical Sciences, Federal University Dutsin-Ma)
  • Received : 2018.05.02
  • Accepted : 2018.07.13
  • Published : 2018.12.25
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Abstract

In this paper, we recall the definition of soft set, fuzzy soft set, hesitant fuzzy set and hesitant fuzzy soft set and some of their examples. We define the concept of hesitant fuzzy soft multiset which combines hesitant fuzzy soft set and soft multiset theory. We also define basic terms in hesitant fuzzy soft multiset with relevant examples. Some basic operations such as restricted intersection, extended intersection, union, restricted union, AND-product and OR-product and their properties are given, supported with illustrative examples. We finally establish some important results, including De Morgan's inclusions and laws.

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