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Fuzzy Set Theory and Topos Theory

Published online by Cambridge University Press:  20 November 2018

Michael Barr
Michael Barr*
Affiliation:
Department of Mathematics And Statistics McGill University 805 Sherbrooke St., W. Montréal, Québec Canada H3A 2K6
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Abstract

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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.

Keywords

18B2503E7203G30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 4 , 01 December 1986 , pp. 501 - 508
Copyright
Copyright © Canadian Mathematical Society 1986

References

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