A Survey of Fuzzy Set and Topos theory

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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.
Original languageAmerican English
JournalFuzzy Sets and Systems
Volume42
StatePublished - 1991

Keywords

  • Topoi
  • quasitopoi
  • fuzzysets
  • closed categories.

Disciplines

  • Mathematics

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