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Pareto Optimal Strategies for Matrix Games with Payoffs of Intuitionistic Fuzzy Sets

Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 758)

Abstract

The aim of this paper is to develop an effective methodology for solving matrix games with payoffs of intuitionistic fuzzy sets (IFSs). In this methodology, a new ranking order relation of IFSs is proposed and the concept of Pareto Nash equilibrium solutions of matrix games with IFS payoffs is firstly defined. It is proven that the solutions of matrix games with IFS payoffs are equivalent to those of a pair of bi-objective programming models. The models and method proposed in this paper are illustrated with a numerical example and compared with other methods to show the validity, applicability and superiority.

Keywords

Intuitionistic fuzzy set Game theory Multiobjective programming Pareto nash equilibrium strategy 

Notes

Acknowledgments

This research was sponsored by the National Natural Science Foundation of China (No. 71231003), the National Natural Science Foundation of China (Nos. 71561008, 71461005), the Science Foundation of Guangxi Province in China (No. 2014GXNSFAA118010) and the Graduate Education Innovation Project Foundation of Guilin University of Electronic Technology (No. 2016YJCX0).

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and ComputationGuilin University of Electronic TechnologyGuangxi, GuilinChina
  2. 2.School of Economics and ManagementFuzhou UniversityFuzhouChina

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