A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs

The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash...

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Detalles Bibliográficos
Autores principales: Fan, Min, Zou, Ping, Li, Shao-Rong, Wu, Chin-Chia
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4150476/
https://www.ncbi.nlm.nih.gov/pubmed/25197688
http://dx.doi.org/10.1155/2014/121245
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author Fan, Min
Zou, Ping
Li, Shao-Rong
Wu, Chin-Chia
author_facet Fan, Min
Zou, Ping
Li, Shao-Rong
Wu, Chin-Chia
author_sort Fan, Min
collection PubMed
description The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority.
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spelling pubmed-41504762014-09-07 A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs Fan, Min Zou, Ping Li, Shao-Rong Wu, Chin-Chia ScientificWorldJournal Research Article The aim of this paper is to develop an effective method for solving bimatrix games with payoffs of intuitionistic fuzzy value. Firstly, bimatrix game model with intuitionistic fuzzy payoffs (IFPBiG) was put forward. Secondly, two kinds of nonlinear programming algorithms were discussed with the Nash equilibrium of IFPBiG. Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. Finally, an example was solved through Matlab; it showed the validity, applicability, and superiority. Hindawi Publishing Corporation 2014 2014-08-14 /pmc/articles/PMC4150476/ /pubmed/25197688 http://dx.doi.org/10.1155/2014/121245 Text en Copyright © 2014 Min Fan et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Fan, Min
Zou, Ping
Li, Shao-Rong
Wu, Chin-Chia
A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs
title A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs
title_full A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs
title_fullStr A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs
title_full_unstemmed A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs
title_short A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs
title_sort fast approach to bimatrix games with intuitionistic fuzzy payoffs
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4150476/
https://www.ncbi.nlm.nih.gov/pubmed/25197688
http://dx.doi.org/10.1155/2014/121245
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