Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making
q-rung picture fuzzy sets can express fuzzy information and simulate realistic decision-making problem scenarios more accurately through the assignment of variable parameter q. Considering that Schweizer–Sklar t-conorm and t-norm (SSTT) has strong flexibility in the procedure of data fusi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10058203/ |
| _version_ | 1797810651600519168 |
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| author | Min Feng Hongjun Guan |
| author_facet | Min Feng Hongjun Guan |
| author_sort | Min Feng |
| collection | DOAJ |
| description | q-rung picture fuzzy sets can express fuzzy information and simulate realistic decision-making problem scenarios more accurately through the assignment of variable parameter q. Considering that Schweizer–Sklar t-conorm and t-norm (SSTT) has strong flexibility in the procedure of data fusion and Maclaurin symmetric mean MSM operator is able to consider the relevance between multi-parameters, multi-attributes and even multi-decision-makers in the multiple attribute group decision-making (MAGDM) problems. Therefore, in this paper, we expand SSTT to q-rung picture fuzzy numbers (q-RPFNs) and define Schweizer–Sklar operational rules for q-RPFNs. Then we amalgamate the MSM operator with Schweizer–Sklar operations, and advance the q-rung picture fuzzy Schweizer–Sklar Maclaurin symmetric mean (q-RPFSSMSM) operators, the q-rung picture fuzzy Schweizer–Sklar generalized Maclaurin symmetric mean (q-RPFSSGMSM) operators, the q-rung picture fuzzy Schweizer–Sklar weighted Maclaurin symmetric mean (q-RPFSSWMSM) operators and the q-rung picture fuzzy Schweizer–Sklar weighted generalized Maclaurin symmetric mean (q-RPFSSWGMSM) operators. Subsequently, we design a novel method based on the developed operators and use an illustrated example to explain how successful it is. In the end of this study, to demonstrate the excellence and accessibility of our proposed method, a comparison analysis with other methods is conducted. |
| first_indexed | 2024-03-13T07:11:59Z |
| format | Article |
| id | doaj.art-8d7e809bc9974382b008577330768b5d |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-13T07:11:59Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-8d7e809bc9974382b008577330768b5d2023-06-05T23:00:20ZengIEEEIEEE Access2169-35362023-01-0111507105074310.1109/ACCESS.2023.325208110058203Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision MakingMin Feng0https://orcid.org/0000-0002-1081-7634Hongjun Guan1https://orcid.org/0000-0001-7335-5871School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, ChinaInstitute of Marine Economy and Management, Shandong University of Finance and Economics, Jinan, Chinaq-rung picture fuzzy sets can express fuzzy information and simulate realistic decision-making problem scenarios more accurately through the assignment of variable parameter q. Considering that Schweizer–Sklar t-conorm and t-norm (SSTT) has strong flexibility in the procedure of data fusion and Maclaurin symmetric mean MSM operator is able to consider the relevance between multi-parameters, multi-attributes and even multi-decision-makers in the multiple attribute group decision-making (MAGDM) problems. Therefore, in this paper, we expand SSTT to q-rung picture fuzzy numbers (q-RPFNs) and define Schweizer–Sklar operational rules for q-RPFNs. Then we amalgamate the MSM operator with Schweizer–Sklar operations, and advance the q-rung picture fuzzy Schweizer–Sklar Maclaurin symmetric mean (q-RPFSSMSM) operators, the q-rung picture fuzzy Schweizer–Sklar generalized Maclaurin symmetric mean (q-RPFSSGMSM) operators, the q-rung picture fuzzy Schweizer–Sklar weighted Maclaurin symmetric mean (q-RPFSSWMSM) operators and the q-rung picture fuzzy Schweizer–Sklar weighted generalized Maclaurin symmetric mean (q-RPFSSWGMSM) operators. Subsequently, we design a novel method based on the developed operators and use an illustrated example to explain how successful it is. In the end of this study, to demonstrate the excellence and accessibility of our proposed method, a comparison analysis with other methods is conducted.https://ieeexplore.ieee.org/document/10058203/q-rung picture fuzzy setSchweizer–Sklar t-norm and t-conormMaclaurin symmetric mean operatormultiple attribute group decision making (MAGDM) |
| spellingShingle | Min Feng Hongjun Guan Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making IEEE Access q-rung picture fuzzy set Schweizer–Sklar t-norm and t-conorm Maclaurin symmetric mean operator multiple attribute group decision making (MAGDM) |
| title | Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making |
| title_full | Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making |
| title_fullStr | Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making |
| title_full_unstemmed | Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making |
| title_short | Some Novel Maclaurin Symmetric Mean Operators for q-Rung Picture Fuzzy Numbers and Their Application to Multiple Attribute Group Decision Making |
| title_sort | some novel maclaurin symmetric mean operators for q rung picture fuzzy numbers and their application to multiple attribute group decision making |
| topic | q-rung picture fuzzy set Schweizer–Sklar t-norm and t-conorm Maclaurin symmetric mean operator multiple attribute group decision making (MAGDM) |
| url | https://ieeexplore.ieee.org/document/10058203/ |
| work_keys_str_mv | AT minfeng somenovelmaclaurinsymmetricmeanoperatorsforqrungpicturefuzzynumbersandtheirapplicationtomultipleattributegroupdecisionmaking AT hongjunguan somenovelmaclaurinsymmetricmeanoperatorsforqrungpicturefuzzynumbersandtheirapplicationtomultipleattributegroupdecisionmaking |