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Inclusion degree-based multigranulation rough fuzzy set over heterogeneous preference information and application to multiple attribute group decision making

  • Soft computing in decision making and in modeling in economics
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Abstract

The knowledge background and preference of decision-makers and interaction among criteria play an important role in actual multiple attribute group decision-making(MAGDM) problem. Consequently, the attribute set and evaluation information chosen by decision-makers are different according to their preference. In this situation, this paper proposes a multigranulation rough fuzzy set model under heterogeneous preference information. We firstly present heterogeneous preference information system and the definition is given. What’s more, the weight information can be depicted at different levels from the perspective of granular computing. Considering the decision-makers or experts have different weights for they chosen the set of criterion, we recalculate the weight of attribute by using Choquet integral and the generalized Shapley index. Then we construct the arbitrary binary relation classes based on the inclusion measurement of the heterogeneous preference information system between any alternatives. We then give the lower and upper approximations of any fuzzy decision-making object over the heterogeneous preference information system. At the same time, several interesting properties for the defined model are given and optimistic and pessimistic multigranulation rough fuzzy set models are deduced, respectively. Moreover, the interrelationship among the established multigranulation rough fuzzy set over the heterogeneous preference information system as well as the existing multigranulation rough set models are discussed in detail. After that, we present a new approach to multiple attribute group decision making problem by using the multigranulation rough fuzzy set method with the heterogeneous preference information. The basic principle and the methodology as well as the algorithm of the decision making given in this paper are given. Finally, the optimal renewable energy technologies alternative determination problem is used as a case study to illustrate the application.

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Acknowledgements

The authors wish to express their sincere appreciation to the editors and the two anonymous reviewers in making valuable comments and suggestions to this paper. Their comments and suggestions have improved the quality of the paper immensely. The work was partly supported by the National Natural Science Foundation of China (72071152, 71571090), the Youth Innovation Team of Shananxi Universities (2019),the Xi’an Science and Technology Projects (XA2020-RKXYJ-0086), Phased research results of Philosophy and Social Science Planning Project of Gansu Province (No.2021YB059), the Guangzhou Key Research and Development Program (No. 202206010101).

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  1. School of Economics and Management, Xidian University, Xi’an, 710126, China

    Xinrui Zhang & Bingzhen Sun

  2. Consulting Research Institute, Huaxin Consulting CO.,Ltd, Hangzhou, 310000, China

    Xinrui Zhang

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Zhang, X., Sun, B. Inclusion degree-based multigranulation rough fuzzy set over heterogeneous preference information and application to multiple attribute group decision making. Soft Comput 26, 7355–7375 (2022). https://doi.org/10.1007/s00500-022-07027-6

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