Abstract
This paper is an attempt to develop quantitative domain theory over frames. Firstly, we propose the notion of a fuzzy basis, and several equivalent characterizations of fuzzy bases are obtained. Furthermore, the concept of a fuzzy algebraic domain is introduced, and a relationship between fuzzy algebraic domains and fuzzy domains is discussed from the viewpoint of fuzzy basis. We finally give an application of fuzzy bases, where the image of a fuzzy domain can be preserved under some special kinds of fuzzy Galois connections.
Citation
Sanping Rao. Qingguo Li. "Fuzzy Bases of Fuzzy Domains." J. Appl. Math. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/427250
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