期刊
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
卷 39, 期 5, 页码 7843-7862出版社
IOS PRESS
DOI: 10.3233/JIFS-201272
关键词
3WD; IRVDIS; Method; Decision-theoretic rough set; Gaussian kernel; Inclusion degree; Auto diagnostic
资金
- National Social Science Fund's Major Research Special Project [18VHQ013]
- China-ASEAN Institute for Innovation Governance and Intellectual Property Research [2019ZCY04]
- Collaborative Innovation Center for Integration of Terrestrial and Marine Economies [2019YB22]
- Natural Science Foundation of Guangxi [2018GXNSFAA294134]
- Guangxi Science and Technology Program [2017AD23056]
- Funding of high-level innovation team and excellent scholar program of Guangxi universities [[2019] 52]
An information system (IS) is a database that expresses relationships between objects and attributes. An IS with decision attributes is said to be a decision information system (DIS). An incomplete real-valued decision information system (IRVDIS) is a DIS based on incomplete real-valued data. This paper studies three-way decision (3WD) for incomplete real-valued data and its application. In the first place, the distance between two objects on the basis of the conditional attribute set in an IRVDIS is constructed. In the next place, the fuzzy T-cos-equivalence relation on the object set of an IRVDIS is received by means of Gaussian kernel. After that, the decision-theoretic rough set model for an IRVDIS is presented. Furthermore, the 3WD method is proposed based on this model. Lastly, to illustrate the feasibility of the proposed method, an application of the proposed method is given. It is worth mentioning that levels of risk may be determined by thresholds that can be directly acquired according to risk preference of different decision-makers, as well as the decision rule for each decision class under different levels of risk is showed in tabular forms.
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