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Optimal decision of multi-inconsistent information systems based on information fusion

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Abstract

This paper discusses the fusion of multi-inconsistent decision information systems. First, basic definitions and properties of rough sets, belief and plausibility functions are reviewed. Then, conditional mass function, conditional belief function and conditional plausibility function based on the decision set are defined. We then study the optimal decision of a test set and the reduction of an inconsistent decision information system based on the conditional mass function. Meanwhile, conditional mass function, conditional belief function and conditional plausibility function based on the conditional attribute set are also discussed and we define an uncertainty degree of an inconsistent information system based on the quasi-probability measure. Further, we study fusion method of inconsistent decision information systems using conditional mass functions based on a decision set. Finally, we define a conditional uncertainty measure and give a method to obtain the optimal decision and the confidence level.

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Acknowledgments

This paper is supported by the National Natural Science Foundation of China (Nos. 61300121, 61170107, 61573127, 61502144), by the Natural Science Foundation of Hebei Province (Nos. A2013208175, A2014205157), Fundation of Hebei Educational Committee (Nos. Q2012093, Z2015143) and by the Doctoral Starting up Foundation of Hebei University of Science and Technology (QD201228).

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Authors and Affiliations

  1. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Shaopu Zhang

  2. School of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, China

    Tao Feng

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  1. Shaopu Zhang
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  2. Tao Feng
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Correspondence to Tao Feng.

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Zhang, S., Feng, T. Optimal decision of multi-inconsistent information systems based on information fusion. Int. J. Mach. Learn. & Cyber. 7, 563–572 (2016). https://doi.org/10.1007/s13042-015-0441-7

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