On the comparison between fuzzy set axiomatizations

Two axiomatizations of fuzzy set theory have been proposed by Chapin and Weidner. The comparison and the interpretations between these axiomatizations and ZF already begun by Weidner is carried on further; in particular it is shown that ZF can be interpreted in both theories.

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Bibliographic Details
Published in:Fuzzy sets and systems 1992-03, Vol.46 (2), p.167-175
Main Author: Prati, Nando
Format: Article
Language:English
Subjects:
axiomatic fuzzy set theories
Axiomatic set theories
Exact sciences and technology
interpretations
Mathematical logic, foundations, set theory
Mathematics
Sciences and techniques of general use
Set theory
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Description
Summary:Two axiomatizations of fuzzy set theory have been proposed by Chapin and Weidner. The comparison and the interpretations between these axiomatizations and ZF already begun by Weidner is carried on further; in particular it is shown that ZF can be interpreted in both theories.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(92)90129-R