A novel q-rung orthopair fuzzy TODIM approach for multi-criteria group decision making based on Shapley value and relative entropy
Autor: | Liuxin Chen, Xiaoling Gou, Nanfang Luo |
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Rok vydání: | 2021 |
Předmět: |
Statistics and Probability
0209 industrial biotechnology Mathematical optimization Kullback–Leibler divergence Computer science General Engineering 02 engineering and technology Shapley value Fuzzy logic Group decision-making 020901 industrial engineering & automation Artificial Intelligence Multi criteria 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing |
Zdroj: | Journal of Intelligent & Fuzzy Systems. 40:235-250 |
ISSN: | 1875-8967 1064-1246 |
Popis: | In the real multi-criteria group decision making (MCGDM) problems, there will be an interactive relationship among different decision makers (DMs). To identify the overall influence, we define the Shapley value as the DM’s weight. Entropy is a measure which makes it better than similarity measures to recognize a group decision making problem. Since we propose a relative entropy to measure the difference between two systems, which improves the accuracy of the distance measure.In this paper, a MCGDM approach named as TODIM is presented under q-rung orthopair fuzzy information.The proposed TODIM approach is developed for correlative MCGDM problems, in which the weights of the DMs are calculated in terms of Shapley values and the dominance matrices are evaluated based on relative entropy measure with q-rung orthopair fuzzy information.Furthermore, the efficacy of the proposed Gq-ROFWA operator and the novel TODIM is demonstrated through a selection problem of modern enterprises risk investment. A comparative analysis with existing methods is presented to validate the efficiency of the approach. |
Databáze: | OpenAIRE |
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