Title :
Foundations of a set theory for fuzzy sets. 40 years of development
Author :
Gottwald, Siegfried
Author_Institution :
Inst. for Logic & Philos. of Sci., Leipzig Univ., Germany
Abstract :
Besides their importance for applications, fuzzy sets as generalized sets call for a set theoretic understanding. This paper concisely surveys the different types of approaches toward this foundational problem which have been offered during the 40 years since fuzzy sets first have appeared in print.
Keywords :
fuzzy set theory; fuzzy sets; generalized sets; set theory; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Multivalued logic; Set theory;
Conference_Titel :
Fuzzy Information Processing Society, 2005. NAFIPS 2005. Annual Meeting of the North American
Print_ISBN :
0-7803-9187-X
DOI :
10.1109/NAFIPS.2005.1548516