Fuzzy Set Theory and Topos Theory

@inproceedings{THEORY2009FuzzyST,
  title={Fuzzy Set Theory and Topos Theory},
  author={TOPOS THEORY and Michael Barr},
  year={2009}
}
The relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is explicated. 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. 
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