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A three-way decision method in a fuzzy condition decision information system and its application in credit card evaluation

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Abstract

An information system as a database that represents relationships between objects and attributes is an important mathematical model in the field of artificial intelligence. A fuzzy condition decision information system(fc-decision information system) is a decision information system where each condition attribute is fuzzy. This paper proposes a three-way decision method in a fc-decision information system and gives its application in credit card evaluation. Gaussian kernel based on fuzzy Euclid distance between fuzzy sets is first acquired. Then the fuzzy \(T{\cos }\)-equivalence relation, induced by a given fc-decision information system, is obtained using Gaussian kernel. Next, based on approximately equal relation (ae-relation) between fuzzy sets, decision-theoretic rough set model in this fc-decision information system is presented. Moreover, a three-way decision method based on this decision-theoretic rough set model is proposed by means of probability measures of sets. Finally, an example of credit card evaluation is employed to illustrate the feasibility of the proposed method.

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Acknowledgements

The authors would like to thank the editors and the anonymous reviewers for their valuable comments and suggestions which have helped immensely in improving the quality of the paper. This work is supported by Natural Science Foundation of Guangxi (2018GXNSFDA294003, 2018GXNSFAA294134), Key Laboratory of Software Engineering in Guangxi University for Nationalities (2018-18XJSY-03), Research Project of Institute of Big Data in Yulin (YJKY03) and Engineering Project of Undergraduate Teaching Reform of Higher Education in Guangxi (2017JGA179).

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  1. Key Laboratory of Complex System Optimization and Big Data Processing in Department of Guangxi Education, Yulin Normal University, Yulin, 537000, Guangxi, People’s Republic of China

    Zhaowen Li

  2. School of Science, Guangxi University for Nationalities, Nanning, 530006, Guangxi, People’s Republic of China

    Dan Huang

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  1. Zhaowen Li
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  2. Dan Huang
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Correspondence to Zhaowen Li.

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Li, Z., Huang, D. A three-way decision method in a fuzzy condition decision information system and its application in credit card evaluation. Granul. Comput. 5, 513–526 (2020). https://doi.org/10.1007/s41066-019-00172-8

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