Universes of Fuzzy Sets and Axiomatizations of Fuzzy Set Theory. Part I: Model-Based and Axiomatic Approaches

Studia Logica 82 (2):211-244 (2006)
  Copy   BIBTEX

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.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,953

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

What Is Fuzzy Probability Theory?S. Gudder - 2000 - Foundations of Physics 30 (10):1663-1678.
Some guidelines for fuzzy sets application in legal reasoning.Jacky Legrand - 1999 - Artificial Intelligence and Law 7 (2-3):235-257.
Fuzzy closure systems on L-ordered sets.Lankun Guo, Guo-Qiang Zhang & Qingguo Li - 2011 - Mathematical Logic Quarterly 57 (3):281-291.
A type of fuzzy ring.Hacı Aktaş & Naim Çağman - 2007 - Archive for Mathematical Logic 46 (3-4):165-177.
First-order fuzzy logic.Vilém Novák - 1987 - Studia Logica 46 (1):87 - 109.
Joint Consistency of Fuzzy Theories.Vilém Novák - 2002 - Mathematical Logic Quarterly 48 (4):563-573.
Fuzzy Galois connections on fuzzy posets.Wei Yao & Ling-Xia Lu - 2009 - Mathematical Logic Quarterly 55 (1):105-112.
On (∈, ∈ ∨ q)‐fuzzy filters of R0‐algebras.Xueling Ma, Jianming Zhan & Young B. Jun - 2009 - Mathematical Logic Quarterly 55 (5):493-508.

Analytics

Added to PP
2009-01-28

Downloads
53 (#308,697)

6 months
7 (#491,855)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Introduction to metamathematics.Stephen Cole Kleene - 1952 - Groningen: P. Noordhoff N.V..
An algebraic approach to non-classical logics.Helena Rasiowa - 1974 - Warszawa,: PWN - Polish Scientific Publishers.
Fuzzy Sets.Lofti A. Zadeh - 1965 - Information and Control 8 (1):338--53.

View all 13 references / Add more references