### Journals Information

Mathematics and Statistics Vol. 12(4), pp. 359 - 365
DOI: 10.13189/ms.2024.120407
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## An Extension of The Hesitant Fuzzy Weight Averaging Operator-VIKOR Method under Hesitant Fuzzy Sets

Rafi Raza , Ahmad Termimi Ab Ghani∗ *, Lazim Abdullah
Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Malaysia

ABSTRACT

The hesitant fuzzy set (HFS) is an innovative approach to decision-making under uncertainty. This study addresses the aggregated operation of the HFS decision matrix. The introduction of induced VIKOR procedures, various extensions of HFSs aggregation operator, and essential approaches for multi-criteria decision-making (MCDM) are presented. This technique uses the aggregation operator, HFWA operator, to rank alternatives and identify the compromise solution that comes closest to the ideal solution. We developed the hesitant fuzzy weight averaging VIKOR (HFWA-VIKOR) model as a novel technique to achieve this. By combining the hesitant fuzzy elements, the HFWA aggregation operator creates aggregated values that are expressed as a single value. The primary advantage of the HFWA-VIKOR model lies in its initial step of aggregating the hesitant fuzzy element. This results in an initial hesitant fuzzy decision matrix, which provides much more detailed information for decision-making and, through the use of the inducing HFWA operator, represents the complex attitudinal nature of the decision-makers. The multi-criteria location selection problem is then solved using the combined HFWA-VIKOR technique, and the outcomes are presented in an easy-to-understand way owing to aggregation operators. A numerical example is also applied in this new method which gives out the best alternative result. As per the scope of our research work, MCDM under hesitant fuzzy sets with HFWA-VIKOR method have been used and their result revealed the best alternative is to find out. These results indicate good potential for objectives. This technique may also be used for other studies or applications. Further research in this area may provide a more developed technique for this application.

KEYWORDS
MCDM, VIKOR Method under Hesitant Fuzzy Data, Decision Making, HFWA Operator, Hesitant Fuzzy Set

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Rafi Raza , Ahmad Termimi Ab Ghani∗ , Lazim Abdullah , "An Extension of The Hesitant Fuzzy Weight Averaging Operator-VIKOR Method under Hesitant Fuzzy Sets," Mathematics and Statistics, Vol. 12, No. 4, pp. 359 - 365, 2024. DOI: 10.13189/ms.2024.120407.

(b). APA Format:
Rafi Raza , Ahmad Termimi Ab Ghani∗ , Lazim Abdullah (2024). An Extension of The Hesitant Fuzzy Weight Averaging Operator-VIKOR Method under Hesitant Fuzzy Sets. Mathematics and Statistics, 12(4), 359 - 365. DOI: 10.13189/ms.2024.120407.