A Chaos-Based Analysis of Discriminative Power of Fuzzy Models

Article type: Research Article

Authors: Dohnal, M.^;

Affiliations: Department of Chemical Engineering, University of Natal, Private Bag X10, Dalbridge, Durban 4014, Republic of South Africa. E-mail: [email protected]

Note: [] Present address: Applied Information Technologies, Ostopovice, Branky 21, 664 41 Troubsko, Czech Republic.

Abstract: A fractal/chaos analysis and discriminative power evaluation of knowledge bases are presented. They can be used by knowledge engineers to make knowledge acquisition activities more objective. The fractal analysis gives a numerical parameter (fractal dimension). It describes certain relations between general and specific knowledge items (for example between on-line measurements and general rules of thumbs). The discriminative power analysis is used to quantify one aspect of a knowledge base “quality.” Both formal tools are applicable regardless of types of knowledge bases. The article describes their fuzzy interpretations. A simple demonstrative example (a set of 17 fuzzy statements) and a realistic fractal recommendation (fuzzy versus neural control algorithms) are presented in detail.

DOI: 10.3233/IFS-1996-4104

Journal: Journal of Intelligent and Fuzzy Systems, vol. 4, no. 1, pp. 49-63, 1996