The decision making method of financial institutions in industrial cluster upgrading based on interval-valued intuitionistic trapezoidal fuzzy number game matrix

Abstract

The decision problem of financial institutions supporting the upgrading of industrial clusters is ambiguous, and it is difficult to satisfy the basic feature of uncertainty by the payment function constructed by precise values. To cope with the fuzziness and uncertainty of game matrix, this paper firstly proposes a basic theory of interval-valued intuitionistic trapezoidal fuzzy number (IITFN) based on score function and accuracy function to construct an IITFN fuzzy matrix game (FMG) model. Next, expected utility theory is used to offer the acquisition of mixed strategy optimal solution of IITFN-FMG. Finally, it is applied to analyze the conditions and strategies of financial institutions to support the upgrading of industrial clusters. The main innovations of this paper are: The introduction of interval-valued intuitionistic trapezoidal fuzzy number to characterize the fuzzy features in the decision-making process of financial institutions and cluster enterprises, the proposed construction of a game matrix based on IITFN, and the corresponding solution method to obtain the conditions and strategies for financial institutions to support the upgrading of industrial clusters, and the proposed method and countermeasures to break the “prisoner’s dilemma” in the cooperation between financial institutions and cluster enterprises.