A Survey of Fuzzy Set and Topos theoryFuzzy Sets and Systems (1991)
AbstractThis 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.
- closed categories.
Citation InformationLawrence 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/