The Archimedean assumption in fuzzy set theory
6 Citations•1996•
T. Bilgiç
Proceedings of North American Fuzzy Information Processing
The Archimedean axiom in fuzzy set theory is critically discussed and brought into perspective within a measurement theoretic framework and then its validity for fuzzy set theories is questioned.
Abstract
The Archimedean axiom in fuzzy set theory is critically discussed. The axiom is brought into perspective within a measurement theoretic framework and then its validity for fuzzy set theory is questioned. The discussion sheds light into what type of vagueness fuzzy set theory models.