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On the design of fuzzy cellular automata following a maximum entropy principle

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents a design approach for a fuzzy cellular automaton based on an inverse entropy optimization principle. The cells of the automaton are characterized by two state variables computed by dynamic TSK fuzzy systems. The state variables of the cells are understood as spatial information sources so that the entropy of the binary sequences produced by the cells is maximized in a given instant. An evolutionary mechanism like the Differential Evolution Algorithm has been used to solve the optimization problem effectively since entropy reveals a convex landscape. Results show different regimes of operation for the fuzzy automata can be obtained. Among these regimes, there is one in which the cell entropy fluctuates over the maximum limit and the automata exhibit interesting behaviors so that it can be used as a model of several complex phenomena.

Original languageEnglish
Title of host publication2014 IEEE Conference on Norbert Wiener in the 21st Century
Subtitle of host publicationDriving Technology's Future, 21CW 2014 - Incorporating the Proceedings of the 2014 North American Fuzzy Information Processing Society Conference, NAFIPS 2014, Conference Proceedings
EditorsMartin Gibbs
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479945627
DOIs
StatePublished - 2014
Event2014 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2014 - Boston, United States
Duration: 24 Jun 201426 Jun 2014

Publication series

Name2014 IEEE Conference on Norbert Wiener in the 21st Century: Driving Technology's Future, 21CW 2014 - Incorporating the Proceedings of the 2014 North American Fuzzy Information Processing Society Conference, NAFIPS 2014, Conference Proceedings

Conference

Conference2014 IEEE Conference on Norbert Wiener in the 21st Century, 21CW 2014
Country/TerritoryUnited States
CityBoston
Period24/06/1426/06/14

Keywords

  • Cellular automata
  • Complex systems
  • Evolutionary algorithms
  • Fuzzy systems
  • Maximum entropy

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