Title :
Self-reference and chaos in fuzzy logic
Author_Institution :
Dept. of Philos., State Univ. of New York, Stony Brook, NY, USA
fDate :
11/1/1993 12:00:00 AM
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;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
