Fuzzy parameterized dual hesitant fuzzy soft sets and its application in topsis

Zahari Md Rodzi, Abd Ghafur Ahmad

Research output: Contribution to journalArticle

Abstract

The purpose of this work is to present a new theory namely fuzzy parameterized dual hesitant fuzzy soft sets (FPDHFSSs). This theory is an extension of the existing dual hesitant fuzzy soft set whereby the set of parameters have been assigned with respective weightage accordingly. We also introduced the basic operation functions for instance intersection, union, addition and product operations of FPDHFSSs. Then, we proposed the concept of score function of FPDHFSSs of which these scores function were determined based on average mean, geometry mean and fractional score. The said scores function then were divided into the membership and non-membership elements where the distance of FPDHFSSs was introduced. The proposed distance of FPDHFSSs has been applied in TOPSIS which will be able to solve the problem of fuzzy dual hesitant fuzzy soft set environment.

Original languageEnglish
Pages (from-to)32-41
Number of pages10
JournalMathematics and Statistics
Volume8
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020

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Soft Set
Fuzzy Sets
Score Function
TOPSIS
Fuzzy Theory
Union
Fractional
Intersection

Keywords

  • Fuzzy Parameterized Dual Hesitant Fuzzy Soft Set
  • Score Function
  • TOPSIS

ASJC Scopus subject areas

  • Statistics and Probability
  • Economics and Econometrics
  • Statistics, Probability and Uncertainty

Cite this

Fuzzy parameterized dual hesitant fuzzy soft sets and its application in topsis. / Rodzi, Zahari Md; Ahmad, Abd Ghafur.

In: Mathematics and Statistics, Vol. 8, No. 1, 01.01.2020, p. 32-41.

Research output: Contribution to journalArticle

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