Diversified multiple attribute group decision-making based on multigranulation soft fuzzy rough set and TODIM method

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.

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Acknowledgements

The work was partly supported by the National Natural Science Foundation of China (71571090), the National Science Foundation of Shaanxi Province of China (2017JM7022), the Youth Innovation Team of Shaanxi Universities, the Project of Fundamental Research Funds for the Central Universities (JB190602), and the Interdisciplinary Foundation of Humanities and Information of Xidian University (RW180167).

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Correspondence to Bingzhen Sun.

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Communicated by Anibal Tavares de Azevedo.

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Sun, B., Zhang, M., Wang, T. et al. Diversified multiple attribute group decision-making based on multigranulation soft fuzzy rough set and TODIM method. Comp. Appl. Math. 39, 186 (2020). https://doi.org/10.1007/s40314-020-01216-5

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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