Homomorphisms between fuzzy information systems revisited

Details Homomorphisms between fuzzy information systems revisited Homomorphisms between fuzzy information systems revisited

2010-02-04

arxiv.org/abs/1002.0908v1

Applied Mathematics Letters, 24(9): 1548-1553, 2011

Computer Science

Artificial Intelligence

10 pages

Scientific paper

Recently, Wang et al. discussed the properties of fuzzy information systems under homomorphisms in the paper [C. Wang, D. Chen, L. Zhu, Homomorphisms between fuzzy information systems, Applied Mathematics Letters 22 (2009) 1045-1050], where homomorphisms are based upon the concepts of consistent functions and fuzzy relation mappings. In this paper, we classify consistent functions as predecessor-consistent and successor-consistent, and then proceed to present more properties of consistent functions. In addition, we improve some characterizations of fuzzy relation mappings provided by Wang et al.

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