Title
Stable strategies analysis based on the utility of Z-number in the evolutionary games.
Abstract
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 payoff matrix is always determined by the knowledge of human using uncertain information, e.g., (outcome of the next year, about fifty thousand dollars, likely).
Year
DOI
Venue
2018
10.1016/j.amc.2017.12.006
Applied Mathematics and Computation
Keywords
Field
DocType
Strategy analysis,Z-number,Evolutionary games,Reliability
Mathematical optimization,Fuzzy set,Z number,Normal-form game,Mathematics
Journal
Volume
ISSN
Citations 
324
0096-3003
26
PageRank 
References 
Authors
0.61
26
5
Name
Order
Citations
PageRank
Bingyi Kang11389.24
Gyan Chhipi-Shrestha2361.03
Yong Deng3124883.34
Kasun Hewage4759.01
Rehan Sadiq536430.26