PREFERENCE AGGREGATION MODEL CONSTRUCTION OF GROUP MANAGEMENT DECISION-MAKING BASED ON RELATIVE ENTROPY AND NORM OPERATOR

Tingzhi Wang, Xiaoxia Ma, Ahmed Barnawi (), Md Nazirul Islam Sarker and Yonglin Liao
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Tingzhi Wang: Business School, Sichuan University, Chengdu 610064, P. R. China
Xiaoxia Ma: ��School of Public Administration, Sichuan University, Chengdu 610064, P. R. China
Ahmed Barnawi: ��Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Md Nazirul Islam Sarker: �School of Political Science and Public Administration, Neijiang Normal University, Neijiang 641000, P. R. China
Yonglin Liao: �School of Political Science and Public Administration, Neijiang Normal University, Neijiang 641000, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 02, 1-11

Abstract: Due to the complexity of the problem in the actual group management decision, the ambiguity of the information of all parties and the uncertainty of the decision environment, it is often difficult for decision-makers to describe the decision information by quantitative methods, but to give uncertain linguistic variables. Based on the analysis of previous research results, this paper proposes a group management decision-making aggregation model based on relative entropy and norm operator. First, the model uses the operation of T-norm and new T-norm operator to make the fuzzy set satisfy the ranking rate and contradiction rate. Then, based on the reliability of relative entropy, the attribute weights of different expert decisions are obtained, and the optimal assembly model of the corresponding group decision is established, respectively. The optimal solution and decision algorithm are given for each optimization model. The last example of the algorithm proves the validity and feasibility of the model, and can effectively avoid the distortion and distortion in the process of group management decision preference aggregation.

Keywords: Preference Aggregation; Group Management Decision; Relative Entropy; T-Norm Operator; Cultural Industry (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400862

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