Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem
Aggregation operators are the most effective mathematical tools for aggregating many variables into a single result. The aggregation operators operate to bring together all of the different assessment values offered in a common manner, and they are highly helpful for assessing the options offered in...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023874?viewType=HTML |
| _version_ | 1797816174169292800 |
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| author | Muhammad Naeem Muhammad Qiyas Lazim Abdullah Neelam Khan Salman Khan |
| author_facet | Muhammad Naeem Muhammad Qiyas Lazim Abdullah Neelam Khan Salman Khan |
| author_sort | Muhammad Naeem |
| collection | DOAJ |
| description | Aggregation operators are the most effective mathematical tools for aggregating many variables into a single result. The aggregation operators operate to bring together all of the different assessment values offered in a common manner, and they are highly helpful for assessing the options offered in the decision-making process. The spherical fuzzy sets (SFSs) and rough sets are common mathematical tools that are capable of handling incomplete and ambiguous information. We also establish the concepts of spherical fuzzy rough Hamacher averaging and spherical fuzzy rough Hamacher geometric operators. The key characteristics of the suggested operators are thoroughly described. We create an algorithm for a multi-criteria group decision making (MCGDM) problem to cope with the ambiguity and uncertainty. A numerical example of the developed models is shown in the final section. The results show that the specified models are more efficient and advantageous than the other existing approaches when the offered models are contrasted with specific present methods. |
| first_indexed | 2024-03-13T08:33:47Z |
| format | Article |
| id | doaj.art-42f11e4205b04281b3eedef3e0de19f1 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T08:33:47Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-42f11e4205b04281b3eedef3e0de19f12023-05-31T01:11:45ZengAIMS PressAIMS Mathematics2473-69882023-05-0187171121714110.3934/math.2023874Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problemMuhammad Naeem 0Muhammad Qiyas1Lazim Abdullah2Neelam Khan3Salman Khan 41. Department of Mathematics Deanship of Applied Sciences, Umm Al-Qura University, Makkah, Saudi Arabia2. Department of Mathematics, Riphah International University, Faisalabad Campus, Pakistan3. Programme of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, 21030 Kuala Nerus Terengganu, Malaysia4. Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan5. Department of Computer Science, Abdul Wali khan University Mardan, KP, PakistanAggregation operators are the most effective mathematical tools for aggregating many variables into a single result. The aggregation operators operate to bring together all of the different assessment values offered in a common manner, and they are highly helpful for assessing the options offered in the decision-making process. The spherical fuzzy sets (SFSs) and rough sets are common mathematical tools that are capable of handling incomplete and ambiguous information. We also establish the concepts of spherical fuzzy rough Hamacher averaging and spherical fuzzy rough Hamacher geometric operators. The key characteristics of the suggested operators are thoroughly described. We create an algorithm for a multi-criteria group decision making (MCGDM) problem to cope with the ambiguity and uncertainty. A numerical example of the developed models is shown in the final section. The results show that the specified models are more efficient and advantageous than the other existing approaches when the offered models are contrasted with specific present methods.https://www.aimspress.com/article/doi/10.3934/math.2023874?viewType=HTMLspherical fuzzy rough setspherical fuzzy rough hamacher aggregation operatorsdecision making |
| spellingShingle | Muhammad Naeem Muhammad Qiyas Lazim Abdullah Neelam Khan Salman Khan Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem AIMS Mathematics spherical fuzzy rough set spherical fuzzy rough hamacher aggregation operators decision making |
| title | Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem |
| title_full | Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem |
| title_fullStr | Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem |
| title_full_unstemmed | Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem |
| title_short | Spherical fuzzy rough Hamacher aggregation operators and their application in decision making problem |
| title_sort | spherical fuzzy rough hamacher aggregation operators and their application in decision making problem |
| topic | spherical fuzzy rough set spherical fuzzy rough hamacher aggregation operators decision making |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023874?viewType=HTML |
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