Self-reference and chaos in fuzzy logic

Authors:
P. Grim
Affiliations:
Dept. of Philos., State Univ. of New York, Stony Brook, NY
Venue:
IEEE Transactions on Fuzzy Systems
Year:
1993

Citing 0
Cited 3

Fuzzy feedback system analysis using transition matrices

Fuzzy Sets and Systems
Fuzzy logic and self-referential reasoning: a comparative study with some new concepts

Artificial Intelligence Review
On the use of fuzzy logic and learning automata optimization to resolve the Liar and related paradoxes

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.00

Visualization

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