1.School of Economics and Management, Fuzhou University;2.School of Management and Economics, University of Electronic Science and Technology of China
This paper puts forward a novel triangular fuzzy non-cooperative-cooperative biform game approach to explore the formation of bilateral link network with triangular fuzzy numbers. The triangular fuzzy noncooperative-cooperative biform game contains four factors that are nodes (or players), link modes (or strategy choice), network formation (or coalition formation) and information flow (or coalition profits), and it combines the advantages of the triangular fuzzy non-cooperative game and the triangular fuzzy cooperative game. Where the payoff of the triangular fuzzy non-cooperative game part is not directly given, but is determined by the triangular fuzzy cooperative game part through the newly defined triangular fuzzy Banzhaf value, and then the Nash equilibrium solution of the triangular fuzzy non-cooperative game is solved. In addition, a general existence condition of the Nash equilibrium in triangular fuzzy noncooperative-cooperative biform game is proposed and proved, and it can always guarantee the existence of equilibrium solutions. Numerical example is used to verify the effectiveness, applicability and complexity of the models and methods presented in the paper, and it provides a new way to simultaneously solve the problem of node (player), strategy design, node link (coalition formation) and profits allocation.