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.
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In Keun LEE, Soon Hak KWON, "Design of Sigmoid Activation Functions for Fuzzy Cognitive Maps via Lyapunov Stability Analysis" in IEICE TRANSACTIONS on Information,
vol. E93-D, no. 10, pp. 2883-2886, October 2010, doi: 10.1587/transinf.E93.D.2883.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.E93.D.2883/_p
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@ARTICLE{e93-d_10_2883,
author={In Keun LEE, Soon Hak KWON, },
journal={IEICE TRANSACTIONS on Information},
title={Design of Sigmoid Activation Functions for Fuzzy Cognitive Maps via Lyapunov Stability Analysis},
year={2010},
volume={E93-D},
number={10},
pages={2883-2886},
abstract={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.},
keywords={},
doi={10.1587/transinf.E93.D.2883},
ISSN={1745-1361},
month={October},}
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TY - JOUR
TI - Design of Sigmoid Activation Functions for Fuzzy Cognitive Maps via Lyapunov Stability Analysis
T2 - IEICE TRANSACTIONS on Information
SP - 2883
EP - 2886
AU - In Keun LEE
AU - Soon Hak KWON
PY - 2010
DO - 10.1587/transinf.E93.D.2883
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E93-D
IS - 10
JA - IEICE TRANSACTIONS on Information
Y1 - October 2010
AB - 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.
ER -