Triangular fuzzy-rough set based fuzzification of fuzzy rule-based systems

• Autorzy: Starczewski Janusz T. , Goetzen Piotr , Napoli Christian

Identyfikatory

DOI

10.2478/jaiscr-2020-0018

• Języki publikacji: EN

Abstrakty

EN

In real-world approximation problems, precise input data are economically expensive. Therefore, fuzzy methods devoted to uncertain data are in the focus of current research. Consequently, a method based on fuzzy-rough sets for fuzzification of inputs in a rulebased fuzzy system is discussed in this paper. A triangular membership function is applied to describe the nature of imprecision in data. Firstly, triangular fuzzy partitions are introduced to approximate common antecedent fuzzy rule sets. As a consequence of the proposed method, we obtain a structure of a general (non-interval) type-2 fuzzy logic system in which secondary membership functions are cropped triangular. Then, the possibility of applying so-called regular triangular norms is discussed. Finally, an experimental system constructed on precise data, which is then transformed and verified for uncertain data, is provided to demonstrate its basic properties.

Słowa kluczowe

EN

general type-2 fuzzy logic systems; fuzzy-rough fuzzification; regular type-2 t-norms; cropped triangular secondary membership functions

• Wydawca: University of Social Sciences
• Czasopismo: Journal of Artificial Intelligence and Soft Computing Research
• Rocznik: 2020
• Tom: Vol. 10, No. 4
• Strony: 271--285
• Opis fizyczny: Bibliogr. 33 poz., rys.

Twórcy

autor

Starczewski Janusz T.

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

autor

Goetzen Piotr

• Information Technology Institute, University of Social Sciences, 90-113 Łódz and Clark University Worcester, MA 01610, USA

autor

Napoli Christian

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

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).