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Design of Sigmoid Activation Functions for Fuzzy Cognitive Maps via Lyapunov Stability Analysis

In Keun LEE, Soon Hak KWON

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Summary :

Fuzzy cognitive maps (FCMs) are used to support decision-making, and the decision processes are performed by inference of FCMs. The inference greatly depends on activation functions such as sigmoid function, hyperbolic tangent function, step function, and threshold linear function. However, the sigmoid functions widely used for decision-making processes have been designed by experts. Therefore, we propose a method for designing sigmoid functions through Lyapunov stability analysis. We show the usefulness of the proposed method through the experimental results in inference of FCMs using the designed sigmoid functions.

Publication
IEICE TRANSACTIONS on Information Vol.E93-D No.10 pp.2883-2886
Publication Date
2010/10/01
Publicized
Online ISSN
1745-1361
DOI
10.1587/transinf.E93.D.2883
Type of Manuscript
LETTER
Category
Biocybernetics, Neurocomputing

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