Authors: Thiele, Helmut
Title: On Closure Operators in Fuzzy Algebras and Fuzzy Deductive Systems
Language (ISO): en
Abstract: The starting point of this paper is the classical wellknown theorem due to G. BIRKHOFF,P.HALL,andJ.SCHMIDT which establishes a one-to-one correspondence between compact closure operators, inductive closure operators, inductive closure systems, and closure operators generated in universal algebras (and generated in deductive systems, respectively). In the paper presented we make first steps in order to generalize this important theorem to the fuzzy set theory and fuzzy algebra (and fuzzy deductive systems, respectively).
Subject Headings: compact closure operators
deductive systems
fuzzification
inductive closure operators
inductive closure systems
universal algebras
URI: http://hdl.handle.net/2003/5327
http://dx.doi.org/10.17877/DE290R-5433
Issue Date: 1998-11-08
Publisher: Universität Dortmund
Appears in Collections:Sonderforschungsbereich (SFB) 531

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