Muhammad Akram Ramadhan, Ibrahim and Nor Izzati, Jaini and Ku Muhammad Naim, Ku Khalif (2021) A shapley trade-off ranking method for multi-criteria decision-making with defuzzification characteristic function. International Journal of Applied Mathematics, 34 (5). 933 -955. ISSN 1311-1728. (Published)
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Abstract
More studies tend to hybrid the game theory technique with the MCDM method to cater to real-situation problems. This paper provides a novel hybrid Shapley value solution concept in the cooperative game with the trade-off ranking method in MCDM. The fundamental methodology of the Shapley value solution concept and trade-off ranking method are explained to make the methodology clear to the readers. A Shapley trade-off ranking (S-TOR) method has been proposed to obtain the best solution to the fuzzy conflicting MCDM in the personnel selection problem. Thus, the triangular fuzzy number is used to represent the DMs evaluation. Then, the fuzzy number be transformed into crisp values using the defuzzification process. The future suggestions are the fuzzy system may be changed to real data for more practical problems, attempt to incorporate a comprehensive method to increase sharing-profit and decrease sharing-loss in the economy or financial problems, and other types of fuzzy numbers may be used to represent an evaluation of the DMs.
| Item Type: | Article |
|---|---|
| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | 03E72; 91A12; Cooperative games; Fuzzy numbers and systems; MCDM; Shapley value; Trade-off ranking |
| Subjects: | Q Science > QA Mathematics |
| Faculty/Division: | Institute of Postgraduate Studies Center for Mathematical Science |
| Depositing User: | Mrs Norsaini Abdul Samat |
| Date Deposited: | 29 Jul 2022 05:25 |
| Last Modified: | 29 Jul 2022 05:25 |
| URI: | http://umpir.ump.edu.my/id/eprint/34799 |
| Download Statistic: | View Download Statistics |
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