Fuzzified neural network based on fuzzy number operations

Authors:
Zhenquan Li;Vojislav Kecman;Akira Ichikawa
Affiliations:
Department of Mechanical Engineering, University of Auckland, Private Bag 92019, Auckland, New Zealand;Department of Mechanical Engineering, University of Auckland, Private Bag 92019, Auckland, New Zealand;Department of Electrical and Electronic Engineering, Shizuoka University, Hanamatsu 432, Japan
Venue:
Fuzzy Sets and Systems - Fuzzy intervals
Year:
2002

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Abstract

The fuzzified neural network based on fuzzy number operations is presented as a powerful modelling tool here. We systematically introduce ideas and concepts of a novel neural network based on fuzzy number operations. First we suggest how to compute the results of addition, subtraction, multiplication and division for two fuzzy numbers. Second we propose a learning algorithm, and present some ideas about the choice of fuzzy weights and fuzzy biases and a numerical scheme for the calculation of outputs of the fuzzified neural network. Finally, we show some results of computer simulations.