#### Title

A Survey of Fuzzy Set and Topos theory

#### 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.

#### Disciplines

Mathematics

#### Recommended Citation

Stout, Lawrence, "A Survey of Fuzzy Set and Topos theory" (1991). *Scholarship*. 78.

https://digitalcommons.iwu.edu/math_scholarship/78