Implication structures, fuzzy subsets, and enriched categories

  • Authors:
  • Dexue Zhang

  • Affiliations:
  • Department of Mathematics, Sichuan University, Chengdu 610064, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2010

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Abstract

We show that there are natural ways to make a fuzzy set into an enriched category, and that in doing so, some basic results in fuzzy set theory are applications of enriched category theory. Thus we argue that the theory of enriched categories is a useful tool for fuzzy set theorists.