Self-reference and Chaos in Fuzzy Logic

IEEE Transactions on Fuzzy Systems 1:237-253 (1993)
  Copy   BIBTEX


The purpose of this paper is to open for investigation a range of phenomena familiar 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 appear in three dimensions in the graphing of mutually referential triples.

Author's Profile

Patrick Grim
University of Michigan, Ann Arbor


Added to PP

323 (#49,012)

6 months
71 (#56,917)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?