Bipolar Neutrosophic Dombi Shapley Weighted Average Aggregation Operator and Its Application in Decision-Making Problem

Authors

  • Siti Nurhidayah Yaacob School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia
  • Hazwani Hashim School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM) Kelantan Branch, 18500 Machang, Kelantan, Malaysia
  • Nur Qasfareeny Abdul Halim School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia
  • Noor Azzah Awang School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia
  • Lazim Abdullah Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu (UMT), 21030 Kuala Nerus, Terengganu, Malaysia
  • Ashraf Al-Quran Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, Saudi Arabia

DOI:

https://doi.org/10.37934/araset.46.2.239250

Keywords:

Bipolar neutrosophic set, Dombi T-norm and Dombi T-conorm, Shapley fuzzy measure, Aggregation operators, Decision-making

Abstract

A bipolar neutrosophic set (BNS) is a novel set theory characterized by positive and negative membership degrees. It is designed to handle bipolar, inconsistent, and uncertain data. BNS is used widely to solve complex decision-making problems. Besides uncertainty data, aggregation operators (AOs) also important in decision-making problems. The Dombi operations, comprising of Dombi T-norm and Dombi T-conorm (DTT), exhibit significant general parameter flexibility. According to the literature, the Dombi operation rules have addressed many intricate decision-making problems in diverse settings. However, the current study needs to examine the optimal method for obtaining the weight of criteria during the aggregation process. The importance of the standards is defined in this study using a Shapley fuzzy measure. Considering this, the article presents the bipolar neutrosophic Dombi Shapley weighted average aggregation (BNDSWAA) inspired by the Dombi operation. The paper examines the various properties of BNDSWAA. A decision-making method is also created based on the suggested operator. The proposed process under BNS is explained using an algorithm for selecting green suppliers. Finally, testing for parameter influence is conducted to identify any parameter changes. The finding shows the proposed method is effective in solving decision-making problems.

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Author Biographies

Siti Nurhidayah Yaacob, School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia

sitinurhidayahyaacob@gmail.com

Hazwani Hashim, School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM) Kelantan Branch, 18500 Machang, Kelantan, Malaysia

hazwanihashim@uitm.edu.my

Nur Qasfareeny Abdul Halim, School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia

qasfabdhalim@gmail.com

Noor Azzah Awang, School of Mathematical Sciences, College of Computing, Informatics and Mathematics, Universiti Teknologi MARA (UiTM), 40450 Shah Alam, Selangor, Malaysia

azzahawang@uitm.edu.my

Lazim Abdullah, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu (UMT), 21030 Kuala Nerus, Terengganu, Malaysia

lazim_m@umt.edu.my

Ashraf Al-Quran, Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, Saudi Arabia

aaquraan@kfu.edu.sa

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Published

2024-06-10

How to Cite

Siti Nurhidayah Yaacob, Hazwani Hashim, Nur Qasfareeny Abdul Halim, Noor Azzah Awang, Lazim Abdullah, & Ashraf Al-Quran. (2024). Bipolar Neutrosophic Dombi Shapley Weighted Average Aggregation Operator and Its Application in Decision-Making Problem. Journal of Advanced Research in Applied Sciences and Engineering Technology, 46(2), 239–250. https://doi.org/10.37934/araset.46.2.239250

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