Probabilistic Linguistic MULTIMOORA: A Multicriteria Decision Making Method Based on the Probabilistic Linguistic Expectation Function and the Improved Borda Rule
| Autor: | Xingli Wu, Arian Hafezalkotob, Francisco Herrera, Zeshui Xu, Huchang Liao |
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| Rok vydání: | 2018 |
| Předmět: |
Multicriteria decision
0209 industrial biotechnology Computer science Applied Mathematics Computation Probabilistic logic 02 engineering and technology Linguistic distance Research findings Borda rule Distance measures Linguistics 020901 industrial engineering & automation Computational Theory and Mathematics Artificial Intelligence Control and Systems Engineering Robustness (computer science) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing |
| Zdroj: | IEEE Transactions on Fuzzy Systems. 26:3688-3702 |
| ISSN: | 1941-0034 1063-6706 |
| DOI: | 10.1109/tfuzz.2018.2843330 |
| Popis: | The probabilistic linguistic term set (PLTS) is a powerful technique in representing linguistic evaluations of individuals or groups in the process of decision making. The aim of this paper is to propose a strongly robust method to solve multiexperts multicriteria decision making problems with linguistic evaluations. To enrich the computation and to improve the measures of PLTS, we first define an expectation function of it. In addition, we advance three kinds of probabilistic linguistic distance measures reflecting on the difference of linguistic terms and probabilities at the same time to make up for the defects of the existing distance measures, and then propose the similarity and correlation measures. Integrating the subjective opinions with the correlation coefficients between criteria, we put forward a combined weight determining method. The robustness of the ranking method, MULTIMOORA, is enhanced by the improved Borda rule. Based on these research findings, a probabilistic linguistic MULTIMOORA method is proposed. Finally, the developed method is applied to an empirical example concerning the selection of shared karaoke television brands. The effectiveness of the proposed method is verified by some comparative analyses. |
| Databáze: | OpenAIRE |
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