Bipolar fuzzy rough set model on two different universes and its application

  • Authors:

  • Hai-Long Yang;Sheng-Gang Li;Shouyang Wang;Jue Wang

  • Affiliations:

  • College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China and Center for Forecasting Science, Academy of Mathematics and Systems Science, Chinese Academy of Sc ...;College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China;Center for Forecasting Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;Center for Forecasting Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

  • Venue:
  • Knowledge-Based Systems
  • Year:
  • 2012

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Abstract

Pawlak initiated the concept of the rough set as a formal tool for modeling and processing incomplete information in information systems. Various fuzzy generalizations of the rough set have been proposed in the literature. In this paper we generalize the fuzzy rough set model on two different universes proposed by Sun and Ma. Concretely, based on the bipolar fuzzy compatible relation R"("@a","@b") (@a,@b@?(0,1]), the bipolar fuzzy rough set model on two different universes is presented. Some properties of the bipolar fuzzy rough set model are discussed. Two extended models of the bipolar fuzzy rough set model are given, and some related results are obtained. Finally, an example is applied to illustrate the application of the bipolar fuzzy rough set model presented in this paper.