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Solving Triangular Intuitionistic Fuzzy Matrix Game by Applying the Accuracy Function Method

by Yumei Xing 1 and Dong Qiu 2,* 1
Finance Department, Tianshui Normal University, Tianshui 741001, China
2
College of Science, Chongqing University of Post and Telecommunication, Chongqing 400065, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1258; https://doi.org/10.3390/sym11101258
Received: 3 September 2019 / Revised: 26 September 2019 / Accepted: 1 October 2019 / Published: 9 October 2019
In this paper, the matrix game based on triangular intuitionistic fuzzy payoff is put forward. Then, we get a conclusion that the equilibrium solution of this game model is equivalent to the solution of a pair of the primal–dual single objective intuitionistic fuzzy linear optimization problems $( I F L O P 1 )$ and $( I F L O D 1 )$ . Furthermore, by applying the accuracy function, which is linear, we transform the primal–dual single objective intuitionistic fuzzy linear optimization problems $( I F L O P 1 )$ and $( I F L O D 1 )$ into the primal–dual discrete linear optimization problems $( G L O P 1 )$ and $( G L O D 1 ) .$ The above primal–dual pair $( G L O P 1 )$ $( G L O D 1 )$ is symmetric in the sense the dual of $( G L O D 1 )$ is $( G L O P 1 )$ . Thus the primal–dual discrete linear optimization problems $( G L O P 1 )$ and $( G L O D 1 )$ are called the symmetric primal–dual discrete linear optimization problems. Finally, the technique is illustrated by an example. View Full-Text
MDPI and ACS Style

Xing, Y.; Qiu, D. Solving Triangular Intuitionistic Fuzzy Matrix Game by Applying the Accuracy Function Method. Symmetry 2019, 11, 1258.

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