Universes of fuzzy sets and axiomatizations of fuzzy set theory. Part I: Model-based and axiomatic approaches [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 82 (2):211 - 244 (2006)
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||fuzzy sets higher level fuzzy sets set theoretic universes axiomatic set theories categories of fuzzy sets M-valued sets|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Andrew Schumann (2008). Non-Archimedean Fuzzy and Probability Logic. Journal of Applied Non-Classical Logics 18 (1):29-48.
Similar books and articles
Petr Hájek (2001). Fuzzy Logic and Arithmetical Hierarchy III. Studia Logica 68 (1):129-142.
Gy Fuhrmann (1991). Note on the Integration of Prototype Theory and Fuzzy-Set Theory. Synthese 86 (1):1 - 27.
Giangiacomo Gerla (2005). Fuzzy Logic Programming and Fuzzy Control. Studia Logica 79 (2):231 - 254.
Vilém Novák (1987). First-Order Fuzzy Logic. Studia Logica 46 (1):87 - 109.
Gy Fuhrmann (1988). Fuzziness of Concepts and Concepts of Fuzziness. Synthese 75 (3):349 - 372.
V. Di Gesù, F. Masulli & Alfredo Petrosino (eds.) (2006). Fuzzy Logic and Applications: 5th International Workshop, Wilf 2003, Naples, Italy, October 9-11, 2003: Revised Selected Papers. [REVIEW] Springer.
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):235-257.
Added to index2009-01-28
Total downloads8 ( #167,561 of 1,098,129 )
Recent downloads (6 months)3 ( #112,729 of 1,098,129 )
How can I increase my downloads?