Universes of fuzzy sets and axiomatizations of fuzzy set theory. Part II: Category theoretic approaches
Studia Logica 84 (1):23 - 50 (2006)
| Abstract | For classical sets one has with the cumulative hierarchy of sets, with axiomatizations like the system ZF, and with the category SET of all sets and mappings standard approaches toward global universes of all sets.We discuss here the corresponding situation for fuzzy set theory. Our emphasis will be on various approaches toward (more or less naively formed) universes of fuzzy sets as well as on axiomatizations, and on categories of fuzzy sets. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,672 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesJohn P. Burgess (1988). Sets and Point-Sets: Five Grades of Set-Theoretic Involvement in Geometry. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:456 - 463.
Petr Hájek (2001). Fuzzy Logic and Arithmetical Hierarchy III. Studia Logica 68 (1):129-142.
Vilém Novák (1987). First-Order Fuzzy Logic. Studia Logica 46 (1):87 - 109.
Giangiacomo Gerla (2005). Fuzzy Logic Programming and Fuzzy Control. Studia Logica 79 (2):231 - 254.
Gy Fuhrmann (1991). Note on the Integration of Prototype Theory and Fuzzy-Set Theory. Synthese 86 (1):1 - 27.
Lofti A. Zadeh (1978). Fuzzy Sets as a Basis for a Theory of Probability. Fuzzy Sets and Systems 1:3-28.
Athanassios Tzouvaras (2003). An Axiomatization of 'Very' Within Systiems of Set Theory. Studia Logica 73 (3):413 - 430.
Jacky Legrand (1999). Some Guidelines for Fuzzy Sets Application in Legal Reasoning. Artificial Intelligence and Law 7 (2-3).
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads6 ( #145,547 of 549,049 )Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
