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Recurrent Neural Network Model: A New Strategy to Solve Fuzzy Matrix Games.

Authors :
Mansoori, Amin
Eshaghnezhad, Mohammad
Effati, Sohrab
Source :
IEEE Transactions on Neural Networks & Learning Systems; Aug2019, Vol. 30 Issue 8, p2538-2547, 10p
Publication Year :
2019

Abstract

This paper aims to investigate the fuzzy constrained matrix game (MG) problems using the concepts of recurrent neural networks (RNNs). To the best of our knowledge, this paper is the first in attempting to find a solution for fuzzy game problems using RNN models. For this purpose, a fuzzy game problem is reformulated into a weighting problem. Then, the Karush–Kuhn–Tucker (KKT) optimality conditions are provided for the weighting problem. The KKT conditions are used to propose the RNN model. Moreover, the Lyapunov stability and the global convergence of the RNN model are also confirmed. Finally, three illustrative examples are presented to demonstrate the effectiveness of this approach. The obtained results are compared with the results obtained by the previous approaches for solving fuzzy constrained MG. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
2162237X
Volume :
30
Issue :
8
Database :
Complementary Index
Journal :
IEEE Transactions on Neural Networks & Learning Systems
Publication Type :
Periodical
Accession number :
137645633
Full Text :
https://doi.org/10.1109/TNNLS.2018.2885825