Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators
Expressing the measure of uncertainty, in terms of an interval instead of a crisp number, provides improved results in fuzzy mathematics. Several such concepts are established, including the interval-valued fuzzy set, the interval-valued intuitionistic fuzzy set, and the interval-valued picture fuzz...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/77835/ http://psasir.upm.edu.my/id/eprint/77835/1/77835.pdf |
| _version_ | 1848858343061323776 |
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| author | Ullah, Kifayat Hassan, Nasruddin Mahmood, Tahir Jan, Naeem Hassan, Mazlan |
| author_facet | Ullah, Kifayat Hassan, Nasruddin Mahmood, Tahir Jan, Naeem Hassan, Mazlan |
| author_sort | Ullah, Kifayat |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Expressing the measure of uncertainty, in terms of an interval instead of a crisp number, provides improved results in fuzzy mathematics. Several such concepts are established, including the interval-valued fuzzy set, the interval-valued intuitionistic fuzzy set, and the interval-valued picture fuzzy set. The goal of this article is to enhance the T-spherical fuzzy set (TSFS) by introducing the interval-valued TSFS (IVTSFS), which describes the uncertainty measure in terms of the membership, abstinence, non-membership, and the refusal degree. The novelty of the IVTSFS over the pre-existing fuzzy structures is analyzed. The basic operations are proposed for IVTSFSs and their properties are investigated. Two aggregation operators for IVTSFSs are developed, including weighted averaging and weighted geometric operators, and their validity is examined using the induction method. Several consequences of new operators, along with their comparative studies, are elaborated. A multi-attribute decision-making method in the context of IVTSFSs is developed, followed by a brief numerical example where the selection of the best policy, among a list of investment policies of a multinational company, is to be evaluated. The advantages of using the framework of IVTSFSs are described theoretically and numerically, hence showing the limitations of pre-existing aggregation operators. |
| first_indexed | 2025-11-15T12:11:56Z |
| format | Article |
| id | upm-77835 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:11:56Z |
| publishDate | 2019 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-778352020-05-04T16:55:13Z http://psasir.upm.edu.my/id/eprint/77835/ Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators Ullah, Kifayat Hassan, Nasruddin Mahmood, Tahir Jan, Naeem Hassan, Mazlan Expressing the measure of uncertainty, in terms of an interval instead of a crisp number, provides improved results in fuzzy mathematics. Several such concepts are established, including the interval-valued fuzzy set, the interval-valued intuitionistic fuzzy set, and the interval-valued picture fuzzy set. The goal of this article is to enhance the T-spherical fuzzy set (TSFS) by introducing the interval-valued TSFS (IVTSFS), which describes the uncertainty measure in terms of the membership, abstinence, non-membership, and the refusal degree. The novelty of the IVTSFS over the pre-existing fuzzy structures is analyzed. The basic operations are proposed for IVTSFSs and their properties are investigated. Two aggregation operators for IVTSFSs are developed, including weighted averaging and weighted geometric operators, and their validity is examined using the induction method. Several consequences of new operators, along with their comparative studies, are elaborated. A multi-attribute decision-making method in the context of IVTSFSs is developed, followed by a brief numerical example where the selection of the best policy, among a list of investment policies of a multinational company, is to be evaluated. The advantages of using the framework of IVTSFSs are described theoretically and numerically, hence showing the limitations of pre-existing aggregation operators. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/77835/1/77835.pdf Ullah, Kifayat and Hassan, Nasruddin and Mahmood, Tahir and Jan, Naeem and Hassan, Mazlan (2019) Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators. Symmetry, 11 (3). art. no. 357. pp. 1-27. ISSN 2073-8994 https://www.mdpi.com/2073-8994/11/3/357 10.3390/sym11030357 |
| spellingShingle | Ullah, Kifayat Hassan, Nasruddin Mahmood, Tahir Jan, Naeem Hassan, Mazlan Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators |
| title | Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators |
| title_full | Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators |
| title_fullStr | Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators |
| title_full_unstemmed | Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators |
| title_short | Evaluation of investment policy based on multi-attribute decision-making using interval valued T-spherical fuzzy aggregation operators |
| title_sort | evaluation of investment policy based on multi-attribute decision-making using interval valued t-spherical fuzzy aggregation operators |
| url | http://psasir.upm.edu.my/id/eprint/77835/ http://psasir.upm.edu.my/id/eprint/77835/ http://psasir.upm.edu.my/id/eprint/77835/ http://psasir.upm.edu.my/id/eprint/77835/1/77835.pdf |