Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems
In this article, the generalized parameter is involved in T-spherical fuzzy set (TSFS), and with the help of this generalized parameter, some generalized geometric aggregation operators for TSFSs are proposed. Then these operators are extended for group-generalized parameter. By using proposed opera...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5578797 |
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| _version_ | 1849308755040141312 |
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| author | Yujuan Chen Muhammad Munir Tahir Mahmood Azmat Hussain Shouzhen Zeng |
| author_facet | Yujuan Chen Muhammad Munir Tahir Mahmood Azmat Hussain Shouzhen Zeng |
| author_sort | Yujuan Chen |
| collection | DOAJ |
| description | In this article, the generalized parameter is involved in T-spherical fuzzy set (TSFS), and with the help of this generalized parameter, some generalized geometric aggregation operators for TSFSs are proposed. Then these operators are extended for group-generalized parameter. By using proposed operators, an algorithm is developed for the MADM problem. To check the validity of proposed operators, a numerical example is also investigated. In a comparative analysis, it is discussed that, under some conditions, the proposed work can be reduced to other fuzzy structures. An example is also solved in which it is shown that our proposed technique is superior to the existing technique. |
| format | Article |
| id | doaj-art-1a98bf3cb1b945f69c4f2e9e60a47c11 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1a98bf3cb1b945f69c4f2e9e60a47c112025-08-20T03:54:21ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55787975578797Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM ProblemsYujuan Chen0Muhammad Munir1Tahir Mahmood2Azmat Hussain3Shouzhen Zeng4School of Data Sciences, Zhejiang University of Finance & Economics, Hangzhou 310018, ChinaDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanSchool of Business, Ningbo University, Ningbo 315211, ChinaIn this article, the generalized parameter is involved in T-spherical fuzzy set (TSFS), and with the help of this generalized parameter, some generalized geometric aggregation operators for TSFSs are proposed. Then these operators are extended for group-generalized parameter. By using proposed operators, an algorithm is developed for the MADM problem. To check the validity of proposed operators, a numerical example is also investigated. In a comparative analysis, it is discussed that, under some conditions, the proposed work can be reduced to other fuzzy structures. An example is also solved in which it is shown that our proposed technique is superior to the existing technique.http://dx.doi.org/10.1155/2021/5578797 |
| spellingShingle | Yujuan Chen Muhammad Munir Tahir Mahmood Azmat Hussain Shouzhen Zeng Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems Journal of Mathematics |
| title | Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems |
| title_full | Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems |
| title_fullStr | Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems |
| title_full_unstemmed | Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems |
| title_short | Some Generalized T-Spherical and Group-Generalized Fuzzy Geometric Aggregation Operators with Application in MADM Problems |
| title_sort | some generalized t spherical and group generalized fuzzy geometric aggregation operators with application in madm problems |
| url | http://dx.doi.org/10.1155/2021/5578797 |
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