期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 324, 期 -, 页码 202-217出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2017.12.006
关键词
Strategy analysis; Z-number; Evolutionary games; Reliability
资金
- National Natural Science Foundation of China [61573290, 61503237]
- China Scholarship Council
Evolutionary games with the fuzzy set are attracting growing interest. While among previous studies, the role of the reliability of knowledge in such an infrastructure is still virgin and may become a fascinating issue. Z-number is combined with restriction and reliability, which is an efficient framework to simulate the thinking of human. In this paper, the stable strategies analysis based on the utility of Z-number in the evolutionary games is proposed, which can simulate the procedure of human's competition and cooperation more authentically and more flexibly. Some numerical examples and an application are used to illustrate the effectiveness of the proposed methodology. Results show that total utility of Z-number can be used as an index to extend the classical evolutionary games into ones linguistic-based, which is applicable in the real applications since the payoffmatrix is always determined by the knowledge of human using uncertain information, e.g., (outcome of the next year, about fifty thousand dollars, likely). (C) 2017 Elsevier Inc. All rights reserved.
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