Communicating between information systems

  • Authors:

  • Changzhong Wang;Congxin Wu;Degang Chen;Qinghua Hu;Cong Wu

  • Affiliations:

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

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

Quantified Score

Hi-index 0.07

Visualization

Abstract

Communication between information systems is a basic problem in granular computing. The concept of homomorphism is a useful mathematical tool to study the communication between two information systems. In this paper, some properties of information systems under homomorphisms are investigated. The concepts of consistent functions are first introduced and their properties are investigated. The concepts of relation mappings between two universes are then proposed in order to construct a binary relation on one universe according to the given binary relation on the other universe. The main properties of the mappings are studied. Finally, the notions of homomorphisms of information systems based on arbitrary binary relations are proposed, and it is proved that attribute reductions in the original system and image system are equivalent to each other under the condition of homomorphism.