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Attributes reduction and rules acquisition in an lattice-valued information system with fuzzy decision

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Abstract

In this paper, we aim to investigate lattice-valued information systems with fuzzy decision (LvISFD), where the domain of every condition attribute is a finite lattice. Firstly, we propose the concept of LvISFD by combining dominance relation and lattice structure. Meanwhile, we establish a rough set approach and give a ranking method for all objects in this complex system. Secondly, we address approximation reductions and rules acquisition in LvISFD. Furthermore, an algorithm of the presented reduction approach is constructed. Finally, an illustrative example is given to show the effectiveness of the proposed method, and experiment evaluation is performed by four datasets from UCI. These results of this study will be more valuable to solve practical issues.

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Acknowledgments

The author would like to thank the valuable suggestions from the anonymous referees and the editor in chief for improving the quality of the paper. This work is supported by Natural Science Foundation of China (Nos. 61105041, 11371014, 61472463, 61402064), National Natural Science Foundation of CQ CSTC (Nos. cstc2013jcyjA40051, cstc2015jcyjA40053), Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information (Nanjing University of Science and Technology), Ministry of Education (No. 30920140122006), Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province (No. OBDMA201503).

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Authors and Affiliations

  1. School of Mathematics, Northwest University, Xi’an, 710049, China

    Xiaoyan Zhang & Ling Wei

  2. School of Mathematics and Statistics, Chongqing University of Technology, Chongqing, 400054, China

    Xiaoyan Zhang & Weihua Xu

  3. Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Nanjing, 210094, China

    Weihua Xu

  4. Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, China

    Weihua Xu

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  1. Xiaoyan Zhang
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  2. Ling Wei
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  3. Weihua Xu
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Correspondence to Ling Wei.

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Zhang, X., Wei, L. & Xu, W. Attributes reduction and rules acquisition in an lattice-valued information system with fuzzy decision. Int. J. Mach. Learn. & Cyber. 8, 135–147 (2017). https://doi.org/10.1007/s13042-015-0492-9

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  • DOI: https://doi.org/10.1007/s13042-015-0492-9

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