Communication between information systems with covering based rough sets

  • Authors:

  • Changzhong Wang;Degang Chen;Baiqing Sun;Qinghua Hu

  • Affiliations:

  • Department of Mathematics, Bohai University, Jinzhou 121000, PR China;Department of Mathematics and Physics, North China Electric Power University, Beijing 102206, PR China;Economy and Management School, Harbin Institute of Technology, Harbin 150001, PR China;Power Engineering, Harbin Institute of Technology, Harbin 150001, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

Quantified Score

Hi-index 0.07

Visualization

Abstract

Communication between information systems is considered as an important issue in granular computing. The concept of homomorphism is an effective mathematical tool to study information exchange between information systems. This paper provides a study on some basic properties of covering information systems and decision systems under homomorphisms. First, we define consistent functions related to coverings and covering mappings between two universes, and study their properties. Then, we introduce the notions of homomorphisms of covering information systems and point out that a homomorphism is a special covering mapping between information systems. Furthermore, we investigate some important properties of homomorphisms in covering information systems and decision systems. It is proved that some basic properties of original systems, such as set approximations, attribute reductions, can be reserved under the condition of homomorphisms in both covering information systems and covering decision systems.