Fuzzy Bases of Fuzzy Domains

Sanping Rao; Qingguo Li

doi:10.1155/2013/427250

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Home > Journals > J. Appl. Math. > Volume 2013 > Article

2013 Fuzzy Bases of Fuzzy Domains

Sanping Rao, Qingguo Li

J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/427250

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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.