DocumentCode
996273
Title
Self-reference and chaos in fuzzy logic
Author
Grim, Patrick
Author_Institution
Dept. of Philos., State Univ. of New York, Stony Brook, NY, USA
Volume
1
Issue
4
fYear
1993
fDate
11/1/1993 12:00:00 AM
Firstpage
237
Lastpage
253
Abstract
Investigates a range of phenomena from dynamical systems or chaos theory which appear in a simple fuzzy logic with the introduction of self-reference. Within that logic, self-referential sentences exhibit properties of fixed point attractors, fixed point repellers, and full chaos on the [0,1] interval. Strange attractors and fractals appear in two dimensions in the graphing of pairs of mutually referential sentences and in three dimensions in the graphing of mutually referential triples
Keywords
chaos; computational linguistics; fractals; fuzzy logic; graph theory; chaos; dynamical systems; fixed point attractors; fixed point repellers; fractals; fuzzy logic; self-reference; self-referential sentences; strange attractors; Chaos; Fractals; Fuzzy logic; Fuzzy systems; Multivalued logic;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/91.251925
Filename
251925
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