Communication Between Information Systems Using Fuzzy Rough Sets

Author

Tsang, E.C.C. ; Changzhong Wang ; Degang Chen ; Congxin Wu ; Qinghua Hu

Author_Institution

Fac. of Inf. Technol., Macao Univ. of Sci. & Technol., Taipa, China

Volume

21

Issue

3

fYear

2013

fDate

Jun-13

Firstpage

527

Lastpage

540

Abstract

Communication between information systems is a basic problem in granular computing, and the concept of homomorphism is a useful mathematical tool to study this problem. In this paper, some properties of communication between information systems based on fuzzy rough sets are investigated. The concepts of fuzzy relation mappings between universes are first proposed in order to construct a fuzzy relation of one universe according to the given fuzzy relation on the other universe. The main properties of the mappings are studied. The notions of homomorphism of information systems based on fuzzy rough sets are then proposed, and it is proved that properties of relation operations in the original information system and structural features of the system, such as approximations of arbitrary fuzzy sets and attribute reductions, are guaranteed in its image system under the condition of homomorphism.

Keywords

fuzzy set theory; granular computing; information systems; mathematical analysis; rough set theory; fuzzy relation mappings; fuzzy rough sets; granular computing; homomorphism condition; image system; information system communication; information system homomorphism properties; mathematical tool; relation operation properties; structural features; Approximation methods; Artificial intelligence; Educational institutions; Fuzzy sets; Information systems; Rough sets; Attribute reduction; fuzzy relation mappings; fuzzy rough sets; homomorphism; information systems;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2012.2218658

Filename

6301688