Some Invariant Properties of Fuzzy Information Systems under Homomorphism

Authors:
Changzhong Wang;Wenju Du
Affiliations:
Department of Mathematic, BoHai University, Jinzhou, China 121003;College of Sichuan Architectural Technology, Deyang, P.R. China 618000
Venue:
RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
Year:
2009

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Abstract

In this paper, The concepts of fuzzy relation mapping and inverse fuzzy relation mapping are firstly introduced and their properties are studied. Then, the notions of homomorphisms of information systems based on fuzzy 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.