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April 7, 2026Scientific Reports0 citationsOpen Access

Triangular fuzzy game modelling for internal innovation in platform-driven manufacturing enterprises under uncertainty

YGYongquan GuoHZHan ZhangHZHua Zou

Key Points

  • This paper aims to explore how environmental uncertainty affects collaborative innovation in platform-driven manufacturing enterprises using a triangular fuzzy evolutionary game model.
  • Developed a triangular fuzzy evolutionary game model to analyze collaborative interactions.
  • Conducted numerical examples and case validation to support model findings.
  • Examined the effects of environmental uncertainty on collaboration stability and strategic choices.
  • Environmental uncertainty impacts collaborative stability through punitive fluctuations, cognitive divergence, and information arbitrage.
  • Differences in benefits between collaborative and non-collaborative approaches influence strategic decisions.
  • Resource integration reduces uncertainty impacts by lowering collaboration costs and enhancing incentives.
  • Fines can motivate cooperation but may also reduce the innovative energy of groups.

Abstract

Environmental uncertainty poses a significant barrier to collaborative innovation in platform-driven manufacturing enterprises. However, existing studies often overlook the platform’s dynamic coordination role, and the quantification of uncertainty. This paper investigates the collaborative interaction processes and key influencing factors within the internal innovation ecosystem of platform-based manufacturing enterprises under environmental uncertainty using a triangular fuzzy evolutionary game model. Subsequently, we conducted numerical examples and case validation of the model results, which demonstrated that: (1) External environmental uncertainty primarily affects organizational collaborative stability through three pathways: punitive fluctuations, cognitive divergence, and information arbitrage. (2) The difference between collaborative and non-collaborative benefits drives strategic choices.The risk of free-riding and unilateral revenue growth can significantly weaken the willingness to cooperate. (3) Platform resource integration mitigates the impact of uncertainty through a dual mechanism: On one hand, it reduces collaboration costs by leveraging global resources, reusing technologies, and digitizing processes; on the other hand, it enhances incentives through additional benefits such as two-way collaboration compensation, effectively expanding the feasible probability range of the collaboration strategy. (4) The double-edged sword effect of fines is reflected in two aspects: on the one hand, they compel employees to engage in cooperation through coercive constraints; on the other, they diminish the dynamism of innovative groups.This paper for the first time constructs a triangular fuzzy game model involving ‘platform-innovation group-employees’, integrates platform governance variables and realizes the quantification of uncertainty, providing strategic guidance for collaborative innovation within platform-based manufacturing enterprises, thereby fostering the development of their internal innovation ecosystems, and it aligns with the trend of sustainable and people-oriented manufacturing transformation. Furthermore, this study identified specific ways model results improve operational performance, offering practical insights for manufacturing enterprises.

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Cite This Study

Guo et al. (2026) studied this question.

synapsesocial.com/papers/69d49fe5b33cc4c35a22854ahttps://doi.org/10.1038/s41598-026-47051-2
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