Abstract
An information system (IS) is an important model in the field of artificial intelligence. A fuzzy information system (FIS) may be regarded as an IS under fuzzy environment. This paper obtains some results on a FIS. Operators on a FIS are first researched. Then, relationships between FISs are discussed from two aspects of dependence and separability, and dependence between FISs is characterized by the inclusion degree and two kinds of fuzzy distances between FISs are proposed. Next, algebraic characterizations of a FIS are obtained and invariant characterizations of a FIS under some homomorphisms are given. Finally, measuring uncertainty of a FIS is investigated, and experimental analyses illustrates that the proposed measures are suitable.
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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 This work is supported by National Natural Science Foundation of China (11971420), Natural Science Foundation of Guangxi (2018GXNSFDA294003, 2018GXNSFAA294134), and Given Point on Master of Applied Statistics in Guangxi University of Finance and Economics (2016TJYB03).
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Yu, G. Characterizations and uncertainty measurement of a fuzzy information system and related results. Soft Comput 24, 12753–12771 (2020). https://doi.org/10.1007/s00500-020-05138-6
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DOI: https://doi.org/10.1007/s00500-020-05138-6