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arXiv · 1002.0908

Homomorphisms between fuzzy information systems revisited

Ping Zhu·Qiaoyan Wen
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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.

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Ping Zhu, Qiaoyan Wen. 2010-02-04. Homomorphisms between fuzzy information systems revisited. https://arxiv.org/abs/1002.0908

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