Fuzzy Bases of Fuzzy Domains | Zendy

Rao San-ping | Zendy; Qingguo Li | Zendy

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Fuzzy Bases of Fuzzy Domains

Author(s) -

Rao San-ping,

Qingguo Li

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/427250

Subject(s) - fuzzy logic , mathematics , basis (linear algebra) , fuzzy classification , fuzzy set operations , fuzzy number , domain (mathematical analysis) , algebra over a field , fuzzy subalgebra , defuzzification , fuzzy associative matrix , fuzzy mathematics , fuzzy set , computer science , artificial intelligence , pure mathematics , mathematical analysis , geometry

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

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