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Attribute reduction and rule acquisition of formal decision context based on object (property) oriented concept lattices

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Abstract

The study of concept lattices, property oriented concept lattices and object oriented concept lattices provides complementary conceptual structures, which can be used to search, analyze and extract information from data sets. This paper is devoted to the study of rule acquisition and attribute reduction of formal decision context. Based on object oriented concepts and property oriented concepts, the notions of object oriented decision rules and property oriented decision rules are proposed. By using some equivalence relations on the set of extents of the related conditional concept lattices and decision concept lattices, the rule acquisition methods are presented. The attribute reduction approaches for formal decision context to preserve the object oriented decision rules and property oriented decision rules are put forward by using discernibility attributes.

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Acknowledgements

This work has been partially supported by the National Natural Science Foundation of China (Grant nos. 61473239, 61372187), and the Fundamental Research Funds for the Central Universities of China (Grant no. 2682014ZT28).

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Authors and Affiliations

  1. School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China

    Keyun Qin & Bo Li

  2. The School of Information Science and Technology, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China

    Bo Li

  3. School of Computer and Software Engineering, Xihua University, Chengdu, Sichuan, 610039, China

    Zheng Pei

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  1. Keyun Qin
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  2. Bo Li
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  3. Zheng Pei
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Correspondence to Bo Li.

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Qin, K., Li, B. & Pei, Z. Attribute reduction and rule acquisition of formal decision context based on object (property) oriented concept lattices. Int. J. Mach. Learn. & Cyber. 10, 2837–2850 (2019). https://doi.org/10.1007/s13042-018-00907-0

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