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Fuzzy Sets and Subobjects

  • Ulrich Höhle
Chapter
Part of the NATO ASI Series book series (ASIC, volume 177)

Abstract

The purpose of this paper is to stress the fact that in Higgs’ category L-SET fuzzy subsets can be identified with subobjects. As a by-product we obtain a representation of a given fuzzy subset as a sheaf of ordinary sets over L

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References

  1. [1]
    M.P. Fourman. D.S. Scott (1979). ‘Sheaves and logic’ in Application of Sheaves, Lecture Notes in Mathematics 753, 302–401.CrossRefGoogle Scholar
  2. [2]
    R. Goldblatt, Topoi,the categorial analysis of logic North-Holland 1979.Google Scholar
  3. [3]
    C.K. Wong (1974). ‘Fuzzy points and local properties of fuzzy topologies, J. Math. Anal. Appl. 46, 316–328.MathSciNetzbMATHCrossRefGoogle Scholar
  4. [4]
    L.A. Zadeh (1965). ‘Fuzzy Sets’, InfomatTon and Control 8, 338–353.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • Ulrich Höhle
    • 1
  1. 1.Fachbereich MathematikBergische Universität WuppertalWuppertal 1Federal Republic of Germany

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