Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 40, Issue 1, Pages 235-250Publisher
IOS PRESS
DOI: 10.3233/JIFS-191374
Keywords
q-rung orthopair fuzzy; Shapley value; relative entropy; MCGDM; TODIM
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In this paper, a MCGDM approach named TODIM is presented using q-rung orthopair fuzzy information. The approach calculates the weights of DMs based on relative entropy and evaluates dominance matrices with q-rung orthopair fuzzy information. The efficacy of the proposed TODIM approach is demonstrated through a selection problem of modern enterprises risk investment and compared with existing methods to validate its efficiency.
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.
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