Multiple attribute decision-making based on Fermatean fuzzy number

Aliya Fahmi; Fazli Amin; Sayed M Eldin; Meshal Shutaywi; Wejdan Deebani; Saleh Al Sulaie; Aliya Fahmi; Fazli Amin; Sayed M Eldin; Meshal Shutaywi; Wejdan Deebani; Saleh Al Sulaie

doi:10.3934/math.2023550

AIMS Mathematics

2023, Volume 8, Issue 5: 10835-10863. doi: 10.3934/math.2023550

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Multiple attribute decision-making based on Fermatean fuzzy number

1.
Department of Mathematics, University of Faisalabad, Faisalabad, Pakistan
2.
Department of Mathematics and Statistics Hazara University Mansehra, Pakistan
3.
Center of Research, Faculty of Engineering, Future University in Egypt New Cairo 11835, Egypt
4.
Department of Mathematics, College of Science & Arts, King Abdul Aziz University, Rabigh, Saudi Arabia
5.
Department of Mathematics, College of Science & Arts, King Abdul Aziz University, Rabigh, Saudi Arabia
6.
Department of Industrial Engineering, College of Engineering in Al-Qunfudah, Umm Al-Qura University, Makkah 21955, Saudi Arabia

Received: 07 November 2022 Revised: 31 January 2023 Accepted: 02 February 2023 Published: 06 March 2023
MSC : 03B52, 47S40

Multiple attribute decision-making concerns with production significant in our everyday life. To resolve the problems that decision makers might feel uncertain to choose the suitable assessment values among several conceivable ideals in the procedure. Fuzzy model, and its extensions are extensively applied to MADM problems. In this study, we proposed an innovative Schweizer-Sklar t-norm and t-conorm operation of FFNs, Fermatean fuzzy Schweizer-Sklar operators. They were used as a framework for the development of an MCDM method, which was illustrated by an example to demonstrate its effectiveness and applicability. Finally, a complete limitation study, rational examination, and comparative analysis of the presented approaches has been exhibited, we originate that our technique is superior in offering DMs a better decision-making choice and reducing the restrictions on stating individual partialities.
- decision making,
- Schweizer-Sklar t-norm and t-conorm,
- aggregation operators,
- Fermatean fuzzy number,
- MADM
Citation: Aliya Fahmi, Fazli Amin, Sayed M Eldin, Meshal Shutaywi, Wejdan Deebani, Saleh Al Sulaie. Multiple attribute decision-making based on Fermatean fuzzy number[J]. AIMS Mathematics, 2023, 8(5): 10835-10863. doi: 10.3934/math.2023550

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Abstract

Multiple attribute decision-making concerns with production significant in our everyday life. To resolve the problems that decision makers might feel uncertain to choose the suitable assessment values among several conceivable ideals in the procedure. Fuzzy model, and its extensions are extensively applied to MADM problems. In this study, we proposed an innovative Schweizer-Sklar t-norm and t-conorm operation of FFNs, Fermatean fuzzy Schweizer-Sklar operators. They were used as a framework for the development of an MCDM method, which was illustrated by an example to demonstrate its effectiveness and applicability. Finally, a complete limitation study, rational examination, and comparative analysis of the presented approaches has been exhibited, we originate that our technique is superior in offering DMs a better decision-making choice and reducing the restrictions on stating individual partialities.

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