Fuzzy Bases of Fuzzy Domains

Sanping Rao and Qingguo Li

Journal of Applied Mathematics, 2013, vol. 2013, 1-10

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:427250

DOI: 10.1155/2013/427250

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