Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator
The objectives of this paper are to define novel aggregation operators (AOs) for aggregating different complex spherical fuzzy numbers (CSFNs) under the influence of their membership grades. The uncertainties included in the information are dealt with in contemporary studies of the fuzzy set and its...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8315733 |
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| _version_ | 1832549600449265664 |
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| author | Muhammad Naeem Muhammad Qiyas Thongchi Botmart Saleem Abdullah Neelam Khan |
| author_facet | Muhammad Naeem Muhammad Qiyas Thongchi Botmart Saleem Abdullah Neelam Khan |
| author_sort | Muhammad Naeem |
| collection | DOAJ |
| description | The objectives of this paper are to define novel aggregation operators (AOs) for aggregating different complex spherical fuzzy numbers (CSFNs) under the influence of their membership grades. The uncertainties included in the information are dealt with in contemporary studies of the fuzzy set and its extensions by membership grades, which are a subset of real numbers that lose some relevant information and hence alter the decision results. The conversion to these complex spherical fuzzy sets addresses the classes’ uncertainty, whose ranges differ from the specific subset of the complex subset of the unit disk. For this purpose, we defined new CSF power AOs. Some of the desirable properties of these operators have also been investigated. A multiattribute group decision-making (MAGDM) approach is implemented in the structure developed by the CSFNs on the basis of these operators. A numerical example concerning the selection of the best alternatives is given to demonstrate the effectiveness of the defined method and is tested by comparing its results with the various methods. |
| format | Article |
| id | doaj-art-9f93f8f3b6db45b586128cbed713a791 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9f93f8f3b6db45b586128cbed713a7912025-02-03T06:10:55ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8315733Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power OperatorMuhammad Naeem0Muhammad Qiyas1Thongchi Botmart2Saleem Abdullah3Neelam Khan4Deanship of Combined First Year Umm Al-Qura UniversityDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe objectives of this paper are to define novel aggregation operators (AOs) for aggregating different complex spherical fuzzy numbers (CSFNs) under the influence of their membership grades. The uncertainties included in the information are dealt with in contemporary studies of the fuzzy set and its extensions by membership grades, which are a subset of real numbers that lose some relevant information and hence alter the decision results. The conversion to these complex spherical fuzzy sets addresses the classes’ uncertainty, whose ranges differ from the specific subset of the complex subset of the unit disk. For this purpose, we defined new CSF power AOs. Some of the desirable properties of these operators have also been investigated. A multiattribute group decision-making (MAGDM) approach is implemented in the structure developed by the CSFNs on the basis of these operators. A numerical example concerning the selection of the best alternatives is given to demonstrate the effectiveness of the defined method and is tested by comparing its results with the various methods.http://dx.doi.org/10.1155/2022/8315733 |
| spellingShingle | Muhammad Naeem Muhammad Qiyas Thongchi Botmart Saleem Abdullah Neelam Khan Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator Journal of Function Spaces |
| title | Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator |
| title_full | Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator |
| title_fullStr | Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator |
| title_full_unstemmed | Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator |
| title_short | Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator |
| title_sort | complex spherical fuzzy decision support system based on entropy measure and power operator |
| url | http://dx.doi.org/10.1155/2022/8315733 |
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