A Real Coded Genetic Algorithm to Entropy Bimatrix Game: Fuzzy Programming Technique
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@Article{JICS-7-243,
author = {Sankar Kumar Roy and Chandan Bikash Das},
title = {A Real Coded Genetic Algorithm to Entropy Bimatrix Game: Fuzzy Programming Technique},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {7},
number = {4},
pages = {243--252},
abstract = { Here, we propose a mathematical model to analyze bimatrix game under entropy environment.
In this new approach, the entropy function for each player are considered as objectives to the bimatrix game.
This formulated model is named as Entropy Bimatrix Game Model which is a multi-objective non linear
problem. To solve this kind of model, we have introduced a new solution technique, which determines the
feasibility of fuzzy multiobjective non linear programming via a revised Genetic Algorithm (GA). By a real
coded Genetic Algorithm, we obtained the bounds of objectives of said model and then applied fuzzy
programming to determine the Nash equilibrium solution. To illustrate the methodology, numerical examples
are included.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22631.html}
}
TY - JOUR
T1 - A Real Coded Genetic Algorithm to Entropy Bimatrix Game: Fuzzy Programming Technique
AU - Sankar Kumar Roy and Chandan Bikash Das
JO - Journal of Information and Computing Science
VL - 4
SP - 243
EP - 252
PY - 2024
DA - 2024/01
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22631.html
KW - Bimatrix Game, Nash Equilibrium, Entropy, Fuzzy Programming, GA.
AB - Here, we propose a mathematical model to analyze bimatrix game under entropy environment.
In this new approach, the entropy function for each player are considered as objectives to the bimatrix game.
This formulated model is named as Entropy Bimatrix Game Model which is a multi-objective non linear
problem. To solve this kind of model, we have introduced a new solution technique, which determines the
feasibility of fuzzy multiobjective non linear programming via a revised Genetic Algorithm (GA). By a real
coded Genetic Algorithm, we obtained the bounds of objectives of said model and then applied fuzzy
programming to determine the Nash equilibrium solution. To illustrate the methodology, numerical examples
are included.
Sankar Kumar Roy and Chandan Bikash Das. (2024). A Real Coded Genetic Algorithm to Entropy Bimatrix Game: Fuzzy Programming Technique.
Journal of Information and Computing Science. 7 (4).
243-252.
doi:
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