Fuzzy Set Theory and Topos Theory
- 1 December 1986
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 29 (4) , 501-508
- https://doi.org/10.4153/cmb-1986-079-9
Abstract
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
This publication has 4 references indexed in Scilit:
- Toposes, Triples and TheoriesPublished by Springer Nature ,1985
- Fuzzy sets do not form a toposFuzzy Sets and Systems, 1982
- Fuzzy sets: A topos-logical point of viewFuzzy Sets and Systems, 1981
- Concept representation in natural and artificial languages: Axioms, extensions and applications for fuzzy setsInternational Journal of Man-Machine Studies, 1974