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Vagueness and Extensionality

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Fuzzy Systems and Knowledge Discovery (FSKD 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3613))

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Abstract

We introduce a property of set to represent vagueness without using truth value. It has gotten less attention in fuzzy set theory. We introduce it by analyzing a well-known philosophical argument by Gearth Evans. To interpret ‘a is a vague object’ as ‘the Axiom of Extensionality is violated for a’ allows us to represent a vague object in Evans’s sense, even within classical logic, and of course within fuzzy logic.

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Author information

Authors and Affiliations

  1. Faculty of Engineering, Kobe University, Kobe, 657-8501, Japan

    Shunsuke Yatabe

  2. The Graduate School of Humanities and Social Sciences, Kobe University, Kobe, 657-8501, Japan

    Hiroyuki Inaoka

Authors
  1. Shunsuke Yatabe
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  2. Hiroyuki Inaoka
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Honda Research Institute Europe GmbH, Offenbach/Main, Germany

    Yaochu Jin

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© 2005 Springer-Verlag Berlin Heidelberg

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Yatabe, S., Inaoka, H. (2005). Vagueness and Extensionality. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_33

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  • DOI: https://doi.org/10.1007/11539506_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28312-6

  • Online ISBN: 978-3-540-31830-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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