Fuzzy probabilistic rough set model on two universes and its applications

  • Authors:

  • Hai-Long Yang;Xiuwu Liao;Shouyang Wang;Jue Wang

  • Affiliations:

  • The School of Management, Xian Jiaotong University, Xian 710049, PR China and College of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, PR China and Institute of Syst ...;The School of Management, Xian Jiaotong University, Xian 710049, PR China;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2013

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Abstract

The classical probabilistic rough set model is established based on a crisp binary relation. As a generalization of crisp binary relation, fuzzy relation makes descriptions of the objective world more realistic, practical, and accurate in some cases. Thus probabilistic rough set model based on a crisp binary relation limits its application domain. In this paper, based on a fuzzy relation, we propose a fuzzy probabilistic rough set model on two universes. Meanwhile, the concepts of the inverse lower and upper approximation operators are presented. We also study some properties of these approximation operators. Finally, a numerical example of the clinical diagnosis systems is applied to illustrate the validity of the proposed model. And we compare the proposed model with other models to show the superiority of the proposed model.