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Fuzzy Sets and Subobjects

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Part of the book series: NATO ASI 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. M.P. Fourman. D.S. Scott (1979). ‘Sheaves and logic’ in Application of Sheaves, Lecture Notes in Mathematics 753, 302–401.

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  2. R. Goldblatt, Topoi,the categorial analysis of logic North-Holland 1979.

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  3. C.K. Wong (1974). ‘Fuzzy points and local properties of fuzzy topologies, J. Math. Anal. Appl. 46, 316–328.

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  4. L.A. Zadeh (1965). ‘Fuzzy Sets’, InfomatTon and Control 8, 338–353.

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© 1986 D. Reidel Publishing Company

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Höhle, U. (1986). Fuzzy Sets and Subobjects. In: Jones, A., Kaufmann, A., Zimmermann, HJ. (eds) Fuzzy Sets Theory and Applications. NATO ASI Series, vol 177. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4682-8_5

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  • DOI: https://doi.org/10.1007/978-94-009-4682-8_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8581-6

  • Online ISBN: 978-94-009-4682-8

  • eBook Packages: Springer Book Archive

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