Homomorphisms between fuzzy information systems revisited
Artificial Intelligence
2011-11-08 v1
Abstract
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.
Cite
@article{arxiv.1002.0908,
title = {Homomorphisms between fuzzy information systems revisited},
author = {Ping Zhu and Qiaoyan Wen},
journal= {arXiv preprint arXiv:1002.0908},
year = {2011}
}
Comments
10 pages