Decision support system based on fuzzy credibility Dombi aggregation operators and modified TOPSIS method

Muhammad Qiyas; Talha Madrar; Saifullah Khan; Saleem Abdullah; Thongchai Botmart; Anuwat Jirawattanapaint; Muhammad Qiyas; Talha Madrar; Saifullah Khan; Saleem Abdullah; Thongchai Botmart; Anuwat Jirawattanapaint

doi:10.3934/math.20221047

AIMS Mathematics

2022, Volume 7, Issue 10: 19057-19082. doi: 10.3934/math.20221047

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Research article

Decision support system based on fuzzy credibility Dombi aggregation operators and modified TOPSIS method

1.
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, KP, Pakistan
2.
Department of Mathematics, Faculty of Science, Khon Kean University, Khon Kaen 40002, Thailand
3.
Department of Mathematics, Faculty of Science, Phuket Rajabhat University (PKRU), Thailand

Received: 17 July 2022 Revised: 10 August 2022 Accepted: 18 August 2022 Published: 29 August 2022
MSC : 03E72, 47S40

The operational law plays an important role in the aggregation operator for group decision system. The aggregation information has high influence in aggregating group decision information. Therefore, the main objective of the proposed work is to develop some operational laws as aggregation operator for fuzzy credibility numbers based on Dombi norms. Dombi operations can benefit from the best operational parameter flexibility. To the best of our knowledge, Dombi operations have so far not been used in for fuzzy credibility numbers (FCNs). Using these Dombi t-norm and t-conorm to define some different fuzzy credibility aggregation operators. i.e., fuzzy credibility Dombi weighted averaging (FCDWA) operator, fuzzy credibility Dombi ordered weighted averaging (FCDOWA) operator, fuzzy credibility Dombi hybrid weighted averaging (FCDHWA) operator. Next, we used TOPSIS method procedure for multi-attribute grouped decision-making (MAGDM). Finally, we provided an example, as well as a discussion of the comparative result analysis, to ensure that their findings are credible and practical.
- fuzzy credibility number,
- Dombi operation,
- aggregation operators,
- TOPSIS method,
- decision making problem
Citation: Muhammad Qiyas, Talha Madrar, Saifullah Khan, Saleem Abdullah, Thongchai Botmart, Anuwat Jirawattanapaint. Decision support system based on fuzzy credibility Dombi aggregation operators and modified TOPSIS method[J]. AIMS Mathematics, 2022, 7(10): 19057-19082. doi: 10.3934/math.20221047

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Abstract

The operational law plays an important role in the aggregation operator for group decision system. The aggregation information has high influence in aggregating group decision information. Therefore, the main objective of the proposed work is to develop some operational laws as aggregation operator for fuzzy credibility numbers based on Dombi norms. Dombi operations can benefit from the best operational parameter flexibility. To the best of our knowledge, Dombi operations have so far not been used in for fuzzy credibility numbers (FCNs). Using these Dombi t-norm and t-conorm to define some different fuzzy credibility aggregation operators. i.e., fuzzy credibility Dombi weighted averaging (FCDWA) operator, fuzzy credibility Dombi ordered weighted averaging (FCDOWA) operator, fuzzy credibility Dombi hybrid weighted averaging (FCDHWA) operator. Next, we used TOPSIS method procedure for multi-attribute grouped decision-making (MAGDM). Finally, we provided an example, as well as a discussion of the comparative result analysis, to ensure that their findings are credible and practical.

References

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