FUZZY SET THEORY AND TOPOS THEORY
50 Citations•1986•
M. Barr
Canadian Mathematical Bulletin
It is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.
Abstract
The relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is expli cated. In particular, it is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.