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A three-way decision method in a hybrid decision information system and its application in medical diagnosis

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Abstract

In the traditional two-way decision, there are only two kinds of decisions (i.e., acceptance and rejection). It will sometimes pay unnecessary costs when one makes decisions in this way. Therefore, a three-way decision is proposed to avoid losses that caused by error acceptance or false rejection in decision-making process. An information system is a database that represents relationships between objects and attributes. A hybrid information system is an information system where there exist many kinds of data (e.g., boolean, categorical, real-valued and set-valued data) and missing data. This paper proposes a three-way decision method in a hybrid decision information system. First, the hybrid distance between two objects based on the conditional attribute set in a given hybrid decision information system is developed. Then, the tolerance relation on the object set of this hybrid decision information system is obtained by using the hybrid distance. Next, as a natural extension of decision-theoretic rough set model in an information system, decision-theoretic rough set model in this hybrid 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 measure. Finally, an example of medical diagnosis is employed to illustrate the feasibility of the proposed method, which may provide an effective method for hybrid data analysis in real applications.

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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 National Natural Science Foundation of China (11971420) and Natural Science Foundation of Guangxi (2018GXNSFDA294003, 2018GXNSFDA281028, 2018GXNSFAA294134).

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Authors and Affiliations

  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 Software and Information Security, Guangxi University for Nationalities, Nanning, 530006, Guangxi, People’s Republic of China

    Ningxin Xie & Gangqiang Zhang

  3. School of Mathematics and Statistics Science, Baise University, Baise, 533000, Guangxi, People’s Republic of China

    Dan Huang

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  1. Zhaowen Li
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  2. Ningxin Xie
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  3. Dan Huang
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  4. Gangqiang Zhang
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Correspondence to Ningxin Xie or Dan Huang.

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Li, Z., Xie, N., Huang, D. et al. A three-way decision method in a hybrid decision information system and its application in medical diagnosis. Artif Intell Rev 53, 4707–4736 (2020). https://doi.org/10.1007/s10462-020-09805-w

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