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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© 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
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