Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems
The concept of p,q− quasirung orthopair fuzzy (p,q− QOF) sets is an advanced extension of q− rung orthopair fuzzy sets (q− ROFSs). This paper introduces the adaptation of Hamacher t-norm and t-conorm to the p,q− QOF environment. A series of Hamacher aggregation operators (AOs) and their associated p...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-02-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024007576 |
| _version_ | 1827348410301153280 |
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| author | Touqeer Ahmad Muhammad Rahim Jie Yang Rabab Alharbi Hamiden Abd El-Wahed Khalifa |
| author_facet | Touqeer Ahmad Muhammad Rahim Jie Yang Rabab Alharbi Hamiden Abd El-Wahed Khalifa |
| author_sort | Touqeer Ahmad |
| collection | DOAJ |
| description | The concept of p,q− quasirung orthopair fuzzy (p,q− QOF) sets is an advanced extension of q− rung orthopair fuzzy sets (q− ROFSs). This paper introduces the adaptation of Hamacher t-norm and t-conorm to the p,q− QOF environment. A series of Hamacher aggregation operators (AOs) and their associated properties are presented. This study extends its application to multi-criteria group decision-making (MCGDM) for practical problem-solving, illustrated through the analysis of mobile payment platforms. The influence of the aggregation operator parameters, denoted as p and q, on the outcomes of decisions is effectively showcased. Moreover, a comparative analysis is carried out to validate the credibility and authenticity of the proposed model. Finally, the advantages and limitations of the proposed model are outlined. |
| first_indexed | 2024-03-08T00:11:50Z |
| format | Article |
| id | doaj.art-1eaf11d263894ab4a9f5f2bb55eabbd6 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-08T00:11:50Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-1eaf11d263894ab4a9f5f2bb55eabbd62024-02-17T06:38:31ZengElsevierHeliyon2405-84402024-02-01103e24726Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problemsTouqeer Ahmad0Muhammad Rahim1Jie Yang2Rabab Alharbi3Hamiden Abd El-Wahed Khalifa4School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaDeparament of Mathematics, Hazara University, Mansehra 21300, PKP, Pakistan; Corresponding author.School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaDepartment of Mathematics, College of Science and Arts, Qassim University, Ar Rass 51452, Saudi ArabiaDepartment of Mathematics, College of Science and Arts, Qassim University, Al-Badaya 51951, Saudi Arabia; Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptThe concept of p,q− quasirung orthopair fuzzy (p,q− QOF) sets is an advanced extension of q− rung orthopair fuzzy sets (q− ROFSs). This paper introduces the adaptation of Hamacher t-norm and t-conorm to the p,q− QOF environment. A series of Hamacher aggregation operators (AOs) and their associated properties are presented. This study extends its application to multi-criteria group decision-making (MCGDM) for practical problem-solving, illustrated through the analysis of mobile payment platforms. The influence of the aggregation operator parameters, denoted as p and q, on the outcomes of decisions is effectively showcased. Moreover, a comparative analysis is carried out to validate the credibility and authenticity of the proposed model. Finally, the advantages and limitations of the proposed model are outlined.http://www.sciencedirect.com/science/article/pii/S2405844024007576p,q−-quasirung orthopair fuzzy setsHamacher t-normt-conormAggregation operatorsOptimizationDecision making |
| spellingShingle | Touqeer Ahmad Muhammad Rahim Jie Yang Rabab Alharbi Hamiden Abd El-Wahed Khalifa Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems Heliyon p,q−-quasirung orthopair fuzzy sets Hamacher t-norm t-conorm Aggregation operators Optimization Decision making |
| title | Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems |
| title_full | Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems |
| title_fullStr | Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems |
| title_full_unstemmed | Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems |
| title_short | Development of p,q− quasirung orthopair fuzzy hamacher aggregation operators and its application in decision-making problems |
| title_sort | development of p q quasirung orthopair fuzzy hamacher aggregation operators and its application in decision making problems |
| topic | p,q−-quasirung orthopair fuzzy sets Hamacher t-norm t-conorm Aggregation operators Optimization Decision making |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024007576 |
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