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A Survey of Fuzzy Set and Topos theory
Fuzzy Sets and Systems (1991)
  • Lawrence N. Stout, Illinois Wesleyan University
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.
  • Topoi,
  • quasitopoi,
  • fuzzysets,
  • closed categories.
Publication Date
Citation Information
Lawrence N. Stout. "A Survey of Fuzzy Set and Topos theory" Fuzzy Sets and Systems Vol. 42 Iss. 1 (1991)
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