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A Method of Converting a Fuzzy System to a Two-layered Hierarchical Fuzzy System and its Run-time Efficiency
IEEE Transactions on Fuzzy Systems
  • Moon G. Joo
  • Thomas Sudkamp, Wright State University - Main Campus
Document Type
Article
Publication Date
2-1-2009
Abstract

In classical single-layer fuzzy systems (FSs), the number of rules and the run-time computational requirements increase exponentially with the number of input domains. In this paper, we present a method for converting a multidimensional FS to a two-layer hierarchical FS that reduces the number of rules and improves the run-time efficiency. The first layer of the two-layer system consists of FSs whose rule bases can be represented as linearly independent vectors. The second layer constructs linear combinations of the rule base vectors. The effectiveness of the hierarchical conversion in reducing the number of rules and improving efficiency is demonstrated on a classic control problem and a simulated higher dimensional FS.

DOI
10.1109/TFUZZ.2008.2007570
Citation Information
Moon G. Joo and Thomas Sudkamp. "A Method of Converting a Fuzzy System to a Two-layered Hierarchical Fuzzy System and its Run-time Efficiency" IEEE Transactions on Fuzzy Systems Vol. 17 Iss. 1 (2009) p. 93 - 103 ISSN: 1063-6706
Available at: http://works.bepress.com/thomas_sudkamp/15/