A novel approach to type-reduction and design of interval type-2 fuzzy logic systems

• Autorzy: Starczewski Janusz T. , Przybyszewski Krzysztof , Byrski Aleksander , Szmidt Eulalia , Napoli Christian

Identyfikatory

DOI

10.2478/jaiscr-2022-0013

• Języki publikacji: EN

Abstrakty

EN

Fuzzy logic systems, unlike black-box models, are known as transparent artificial intelligence systems that have explainable rules of reasoning. Type 2 fuzzy systems extend the field of application to tasks that require the introduction of uncertainty in the rules, e.g. for handling corrupted data. Most practical implementations use interval type-2 sets and process interval membership grades. The key role in the design of type-2 interval fuzzy logic systems is played by the type-2 inference defuzzification method. In type-2 systems this generally takes place in two steps: type-reduction first, then standard defuzzification. The only precise type-reduction method is the iterative method known as Karnik-Mendel (KM) algorithm with its enhancement modifications. The known non-iterative methods deliver only an approximation of the boundaries of a type-reduced set and, in special cases, they diminish the profits that result from the use of type-2 fuzzy logic systems. In this paper, we propose a novel type-reduction method based on a smooth approximation of maximum/minimum, and we call this method a smooth type-reduction. Replacing the iterative KM algorithm by the smooth type-reduction, we obtain a structure of an adaptive interval type-2 fuzzy logic which is non-iterative and as close to an approximation of the KM algorithm as we like.

Słowa kluczowe

EN

smooth type-reduction; interval type-2 fuzzy logic systems

• Wydawca: University of Social Sciences
• Czasopismo: Journal of Artificial Intelligence and Soft Computing Research
• Rocznik: 2022
• Tom: Vol. 12, No. 3
• Strony: 197--206
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Starczewski Janusz T.

• Department of Computational Intelligence, Częstochowa University of Technology, al. Armii Krajowej 36, 42-200 Częstochowa, Poland

autor

Przybyszewski Krzysztof

• Institute of Information Technologies, University of Social Sciences, ul. Sienkiewicza 9, 90-113 Łódź

autor

Byrski Aleksander

• Institute of Computer Science, AGH University of Science and Technology, 30-059 Kraków, Poland

autor

Szmidt Eulalia

• Systems Research Institute of the Polish Academy of Sciences, 01-447 Warsaw, Poland

autor

Napoli Christian

• Department of Computer, Control and Management Engineering, Sapienza University of Rome, Via Ariosto 25 Roma 00185, Italy

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