Triangular interval type-2 fuzzy soft set and its application
Decision-making is an essential task in Science and Engineering. Since most of the real-world problems have uncertainty in nature, making the decision is challengeable one for the decision makers. Soft set has the advantage of free from the deficiency of the parameterization tools of existing theori...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2020
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/6575/1/AJ%202020%20%28371%29.pdf |
| _version_ | 1825710213357895680 |
|---|---|
| author | Lathamaheswari, M. Nagarajan, D. Kavikumar, J. Broumi, Said |
| author_facet | Lathamaheswari, M. Nagarajan, D. Kavikumar, J. Broumi, Said |
| author_sort | Lathamaheswari, M. |
| collection | UTHM |
| description | Decision-making is an essential task in Science and Engineering. Since most of the real-world problems have uncertainty in nature, making the decision is challengeable one for the decision makers. Soft set has the advantage of free from the deficiency of the parameterization tools of existing theories, namely probability, fuzzy theory and the theory of rough sets. Linguistic terms mean different things to different people, so variability in expert’s acceptance degree is possible. Here usage of type-1 fuzzy leads to noisy and uncertain, and the parameters also may be noisy and hence type-2 fuzzy sets may be used to address the mentioned issues. Therefore, a triangular interval type-2 fuzzy soft set has been considered in the present work by combining triangular interval type-2 fuzzy set and soft set. In this paper, a triangular interval type-2 fuzzy soft weighted arithmetic operator (TIT2FSWA) has been proposed with its desired mathematical properties; also applied the proposed methodology in a decision-making problem for profit analysis. Further comparative analysis has been made with the existing methods to show the effectiveness of the proposed method. |
| first_indexed | 2024-03-05T21:54:12Z |
| format | Article |
| id | uthm.eprints-6575 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | English |
| last_indexed | 2024-03-05T21:54:12Z |
| publishDate | 2020 |
| publisher | Springer |
| record_format | dspace |
| spelling | uthm.eprints-65752022-03-01T06:42:34Z http://eprints.uthm.edu.my/6575/ Triangular interval type-2 fuzzy soft set and its application Lathamaheswari, M. Nagarajan, D. Kavikumar, J. Broumi, Said QA101-(145) Elementary mathematics. Arithmetic Decision-making is an essential task in Science and Engineering. Since most of the real-world problems have uncertainty in nature, making the decision is challengeable one for the decision makers. Soft set has the advantage of free from the deficiency of the parameterization tools of existing theories, namely probability, fuzzy theory and the theory of rough sets. Linguistic terms mean different things to different people, so variability in expert’s acceptance degree is possible. Here usage of type-1 fuzzy leads to noisy and uncertain, and the parameters also may be noisy and hence type-2 fuzzy sets may be used to address the mentioned issues. Therefore, a triangular interval type-2 fuzzy soft set has been considered in the present work by combining triangular interval type-2 fuzzy set and soft set. In this paper, a triangular interval type-2 fuzzy soft weighted arithmetic operator (TIT2FSWA) has been proposed with its desired mathematical properties; also applied the proposed methodology in a decision-making problem for profit analysis. Further comparative analysis has been made with the existing methods to show the effectiveness of the proposed method. Springer 2020 Article PeerReviewed text en http://eprints.uthm.edu.my/6575/1/AJ%202020%20%28371%29.pdf Lathamaheswari, M. and Nagarajan, D. and Kavikumar, J. and Broumi, Said (2020) Triangular interval type-2 fuzzy soft set and its application. Complex and Intelligent Systems, 6. pp. 531-544. ISSN 2199-4536 https://doi.org/10.1007/s40747-020-00151-6 |
| spellingShingle | QA101-(145) Elementary mathematics. Arithmetic Lathamaheswari, M. Nagarajan, D. Kavikumar, J. Broumi, Said Triangular interval type-2 fuzzy soft set and its application |
| title | Triangular interval type-2 fuzzy soft set and its application |
| title_full | Triangular interval type-2 fuzzy soft set and its application |
| title_fullStr | Triangular interval type-2 fuzzy soft set and its application |
| title_full_unstemmed | Triangular interval type-2 fuzzy soft set and its application |
| title_short | Triangular interval type-2 fuzzy soft set and its application |
| title_sort | triangular interval type 2 fuzzy soft set and its application |
| topic | QA101-(145) Elementary mathematics. Arithmetic |
| url | http://eprints.uthm.edu.my/6575/1/AJ%202020%20%28371%29.pdf |
| work_keys_str_mv | AT lathamaheswarim triangularintervaltype2fuzzysoftsetanditsapplication AT nagarajand triangularintervaltype2fuzzysoftsetanditsapplication AT kavikumarj triangularintervaltype2fuzzysoftsetanditsapplication AT broumisaid triangularintervaltype2fuzzysoftsetanditsapplication |