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Parameter reductions of soft equivalence relations

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Abstract

In this paper, the facts that every equivalence relation may be considered as a special case of soft equivalence relations and there exists a one-to-one correspondence between the family of all knowledge bases and the family of all soft equivalence relations are proved. Parameter reductions of soft equivalence relations are investigated from the angle of rough sets and their algorithms are given. Parameters in a soft equivalence relation are divided into four categories (i.e., necessary parameters, relatively necessary parameters, absolutely dispensable parameters, dispensable parameters) according to the importance.

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Acknowledgments

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 this paper. This work is supported by the National Natural Science Foundation of China (11461005), the Natural Science Foundation of Guangxi (2014GXNSFAA118001), Guangxi University Science and Technology Research Project (KY2015YB075, KY2015YB081, KY2015YB266), the Science Research Project 2014 of the China-ASEAN Study Center (Guangxi Science Experiment Center) of Guangxi University for Nationalities (KT201427) and Research Project 2014 of Teacher Education (2014JS013).

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Authors and Affiliations

  1. College of Information Science and Engineering, Guangxi University for Nationalities, Nanning, 530006, Guangxi, People’s Republic of China

    Gangqiang Zhang & Ningxin Xie

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

    Zhaowen Li

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  1. Gangqiang Zhang
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  2. Ningxin Xie
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  3. Zhaowen Li
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Correspondence to Gangqiang Zhang.

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Zhang, G., Xie, N. & Li, Z. Parameter reductions of soft equivalence relations. Int. J. Mach. Learn. & Cyber. 8, 711–720 (2017). https://doi.org/10.1007/s13042-015-0470-2

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  • DOI: https://doi.org/10.1007/s13042-015-0470-2

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