An interval-valued Pythagorean prioritized operator-based game theoretical framework with its applications in multicriteria group decision making

• Published in: Neural computing & applications 2020-06, Vol.32 (12), p.7641-7659
• Main Authors: Han, Yuzhen, Deng, Yong, Cao, Zehong, Lin, Chin-Teng
• Format: Article
• Language: English
• Subjects: Artificial Intelligence; Computational Biology/Bioinformatics; Computational Science and Engineering; Computer Science; Data Mining and Knowledge Discovery; Decision making; Decision theory; Fuzzy sets; Game theory; Games; Image Processing and Computer Vision; Multiple criterion; Probability and Statistics in Computer Science; Soft Computing Techniques: Applications and Challenges
• ISSN: 0941-0643; 1433-3058
• DOI: 10.1007/s00521-019-04014-1

Multicriteria decision-making process explicitly evaluates multiple conflicting criteria in decision making. The conventional decision-making approaches assumed that each agent is independent, but the reality is that each agent aims to maximize personal benefit which causes a negative influence on other agents’ behaviors in a real-world competitive environment. In our study, we proposed an interval-valued Pythagorean prioritized operator-based game theoretical framework to mitigate the cross-influence problem. The proposed framework considers both prioritized levels among various criteria and decision makers within five stages. Notably, the interval-valued Pythagorean fuzzy sets are supposed to express the uncertainty of experts, and the game theories are applied to optimize the combination of strategies in interactive situations. Additionally, we also provided illustrative examples to address the application of our proposed framework. In summary, we provided a human-inspired framework to represent the behavior of group decision making in the interactive environment, which is potential to simulate the process of realistic humans thinking.