Title :
The Archimedean assumption in fuzzy set theory
Author_Institution :
Dept. of Ind. Eng., Toronto Univ., Ont., Canada
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
Keywords :
fuzzy set theory; Archimedean assumption; continuous membership functions; fuzzy set theory; measurement theoretic framework; vagueness; Algebra; Formal languages; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Industrial engineering; Multivalued logic; Testing;
Conference_Titel :
Fuzzy Information Processing Society, 1996. NAFIPS., 1996 Biennial Conference of the North American
Conference_Location :
Berkeley, CA
Print_ISBN :
0-7803-3225-3
DOI :
10.1109/NAFIPS.1996.534749
