Title :
A mapping between fuzzy covering information systems
Author :
Changzhong Wang ; Wenying Bao ; Xiuxiu Wang ; Qiang He
Author_Institution :
Dept. of Math., Bohai Univ. Jinzhou, Jinzhou, China
Abstract :
This paper uses the concept of mapping as a basic tool to study the communication between fuzzy information systems. We firstly define the concept of a compatible mapping with respect to fuzzy sets and study their basic properties. Then, we introduce the concepts of fuzzy covering information system and its homomorphism, and examine some invariant properties of fuzzy covering information systems under homomorphism. We find out that the attribute reductions of the original system and image system are equivalent to each other in fuzzy information systems.
Keywords :
fuzzy set theory; information systems; attribute reductions; compatible mapping; fuzzy covering information system; fuzzy sets; homomorphism; image system; invariant properties; Approximation methods; Educational institutions; Fuzzy sets; Information systems; Rough sets; Uncertainty; Ruzzy mapping; homomorphism; rough set;
Conference_Titel :
Granular Computing (GrC), 2013 IEEE International Conference on
Conference_Location :
Beijing
DOI :
10.1109/GrC.2013.6740428
