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Sharpness in the Fuzzy World

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Relational and Algebraic Methods in Computer Science (RAMiCS 2020)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12062))

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Abstract

In this paper we focus on a fuzzy version of the so-called (un)sharpness property of relational products in arrow/fuzzy categories. It is shown that the fuzzy version can be reduced to a regular (un)sharpness problem. As a consequence we obtain that relational products are also sharp in the fuzzy sense if all relational products and powers exist. This result is important in applications of arrow/fuzzy categories since relational products, and, hence, the fuzzy version of the (un)sharpness problem, are integral components of these applications.

The author gratefully acknowledges support from the Natural Sciences and Engineering Research Council of Canada (283267).

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Authors and Affiliations

  1. Department of Computer Science, Brock University, St. Catharines, ON, L2S 3A1, Canada

    Michael Winter

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  1. Michael Winter
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Correspondence to Michael Winter .

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Editors and Affiliations

  1. Laboratoire d’informatique (LIX), École Polytechnique, Palaiseau, France

    Uli Fahrenberg

  2. Faculty of Mathematics, Chapman University, Orange, CA, USA

    Peter Jipsen

  3. Department of Computer Science, Brock University, St. Catharines, ON, Canada

    Michael Winter

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Winter, M. (2020). Sharpness in the Fuzzy World. In: Fahrenberg, U., Jipsen, P., Winter, M. (eds) Relational and Algebraic Methods in Computer Science. RAMiCS 2020. Lecture Notes in Computer Science(), vol 12062. Springer, Cham. https://doi.org/10.1007/978-3-030-43520-2_20

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  • DOI: https://doi.org/10.1007/978-3-030-43520-2_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43519-6

  • Online ISBN: 978-3-030-43520-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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