Diversified multiple attribute group decision-making based on multigranulation soft fuzzy rough set and TODIM method
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Diversified multiple attribute group decision-making based on multigranulation soft fuzzy rough set and TODIM method Bingzhen Sun1 · Meng Zhang1 · Ting Wang1 · Xinrui Zhang1 Received: 3 January 2020 / Revised: 2 May 2020 / Accepted: 6 June 2020 © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2020
Abstract This paper investigates the diversified multi-attribute group decision-making problem which means that the different decision-makers have different evaluation attribute sets for all candidate alternatives. We analyze the diversified multi-attribute group decision-making problem from the perspective of granular computing models and creatively combine soft sets with multigranulation fuzzy rough sets to construct the multigranulation soft fuzzy rough set model. Subsequently, we define the optimistic upper and lower approximations and pessimistic upper and lower approximations with respect to multigranulation soft fuzzy rough set model. Meanwhile, we discuss some important mathematical conclusions and properties based on the established model. Then, we propose a novel approach to the diversified multi-attribute group decision-making problem based on multigranulation soft fuzzy rough set and TODIM method, which fully consider the reference dependence and loss aversion of decision-makers in the decision-making process. Finally, we use a numerical example of evaluation for the policy selection group decision-making problem to describe and explain the calculation principle and process and compare the results with existing related work, and our approach has great stability and rationality. And the contributions of this paper include the following two points: (1) construct the multigranulation soft fuzzy rough set model; (2) combine the established model with TODIM method to provide a novel perspective to solve the diversified multi-attribute group decision-making problem. Keywords Multigranulation soft fuzzy rough set · Soft set · Diversified attribute set · Multiple attribute group decision-making (MAGDM) · Diversified attribute decision-making information system · TODIM method Mathematics Subject Classification 68T30 · 68T10 · 90B50
Communicated by Anibal Tavares de Azevedo.
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Bingzhen Sun [email protected] School of Economics and Management, Xidian University, Xi’an 710071, Shaanxi, China 0123456789().: V,-vol
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1 Introduction Decision-making behavior can be seen everywhere in our daily life. It can be divided into individual decision-making and group decision-making according to the decision-maker. Previous studies have focused on the important influence of individual behavior and personal preference on uncertain decision-making behaviors. How to solve personal preferences and personal behaviors to achieve optimal decision-making effects and utility is the most important step in the decision-making process. However, the finiteness and professionalism of individual knowledge and the diversity and complexity of real-world decision-making problems lead t
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