Construction and applications of a modified Fuzzy Relational Model

Article type: Research Article

Authors: Aghili Ashtiani, Arya | Menhaj, Mohammad Bagher

Affiliations: Department of Electrical Engineering, Amirkabir University of Technology (AUT), Tehran, Iran

Note: [] Corresponding author. Mohammad Bagher Menhaj, Department of Electrical Engineering, Amirkabir University of Technology (AUT), P.O. Box 15914, Tehran, Iran. E-mails: tmenhaj@ieee.org; menhaj@aut.ac.ir; arya.aghili@aut.ac.ir (A.A. Ashtiani).

Abstract: A modified fuzzy relational modeling structure is presented in this paper by proposing a fuzzy relational inner composition. This leads to an integrated framework for representing multilevel fuzzy relational equations which is able to provide multi-dimensional models of complex systems very effectively. A potentially online derivative-based identification algorithm is also presented for the proposed model. The identification procedure is based on the special t-norm-based and t-conorm-based operations leading to an easy and fast implementation of the proposed algorithm. The proposed modeling structure is customized and used for two different applications. The simulation results show high modeling capability of the proposed fuzzy relational model.

Keywords: Intelligent Modeling, Fuzzy Relational Model (FRM), Fuzzy Relational Extended Composition (FREC), Fuzzy Relational Inner Composition (FRIC)

DOI: 10.3233/IFS-130838

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1547-1555, 2014