Next Article in Journal
Symmetries in the Quantum Rabi Model
Next Article in Special Issue
Group Decision-Making Based on the VIKOR Method with Trapezoidal Bipolar Fuzzy Information
Previous Article in Journal
Localization Properties of Non-Periodic Electrical Transmission Lines
Open AccessArticle

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
Keywords: intuitionistic fuzzy matrix game; equilibrium solution; intuitionistic fuzzy linear optimization problem; accuracy function intuitionistic fuzzy matrix game; equilibrium solution; intuitionistic fuzzy linear optimization problem; accuracy function
MDPI and ACS Style

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

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop