Mathematics and Statistics Vol. 8(1), pp. 32 - 41
DOI: 10.13189/ms.2020.080104
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Fuzzy Parameterized Dual Hesitant Fuzzy Soft Sets and Its Application in TOPSIS

Zahari Md Rodzi ^1,2, Abd Ghafur Ahmad ^1,*
1 Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Malaysia
² Faculty of Computer and Mathematical Science, Universiti Teknologi MARA Kampus Seremban, Malaysia

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.

KEYWORDS
Fuzzy Parameterized Dual Hesitant Fuzzy Soft Set, TOPSIS, Score Function

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Zahari Md Rodzi , Abd Ghafur Ahmad , "Fuzzy Parameterized Dual Hesitant Fuzzy Soft Sets and Its Application in TOPSIS," Mathematics and Statistics, Vol. 8, No. 1, pp. 32 - 41, 2020. DOI: 10.13189/ms.2020.080104.

(b). APA Format:
Zahari Md Rodzi , Abd Ghafur Ahmad (2020). Fuzzy Parameterized Dual Hesitant Fuzzy Soft Sets and Its Application in TOPSIS. Mathematics and Statistics, 8(1), 32 - 41. DOI: 10.13189/ms.2020.080104.