Article
A Survey of Fuzzy Set and Topos theory
Fuzzy Sets and Systems
(1991)
Abstract
This paper is a comparison and contrast of approaches to many-valued mathematics offered by Fuzzy Set theory and topos theory. It gives a survey of the categorical foundations of Fuzzy Set theory and related topoi. Topoi are not a basis for Fuzzy Set theory but they do suggest appropriate directions to go and questions to ask for a synthesis which does provide a foundation. One possible structure which has a topos-like internal logic and the, rich variety of logical connectives used in fuzzy sets is included.
Keywords
- Topoi,
- quasitopoi,
- fuzzysets,
- closed categories.
Disciplines
Publication Date
1991
Citation Information
Lawrence N. Stout. "A Survey of Fuzzy Set and Topos theory" Fuzzy Sets and Systems Vol. 42 Iss. 1 (1991) Available at: http://works.bepress.com/lawrence_stout/16/