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基于分形的技术创新网络的数学描述,解决研究方法中个人主义与集体主义的冲突;在此基础上,将技术创新网络中不同结点间的相互作用抽象为对应的主丛联络,分别建立技术创新网络知识时空在不同结点处的时空曲率和时空温标的数学结构,并进一步对其进行经验解释。研究表明,对技术创新网络的分形描述可以克服不同层次技术创新网络研究中集体主义与个人主义的冲突,引入知识规范可以形成知识时空,研究知识时空可以决定真实世界的技术创新活动;知识时空是对应技术创新过程中信息场与其上面特定的结构形成的,可以与信息流结合研究技术创新过程中创新企业之间的交互作用;知识时空的曲率特征刻画技术创新网络中特定知识对外部信息(不确定性)的作用,而知识时空温标特征刻画技术创新网络的能量状态,并进一步确定创新网络知识的有序状态。
Based on the mathematical description of the fractal technological innovation network, it solves the conflict between individualism and collectivism in the research methods. Based on this, the interaction between different nodes in the technological innovation network is abstracted as the corresponding main cluster, and the technologies The space-time curvature of space network at different nodes and the mathematical structure of space-time temperature scale at the knowledge-innovation network are further explained empirically. The research shows that the fractal description of technological innovation network can overcome the conflict between collectivism and individualism in different levels of technological innovation network research. The introduction of knowledge norms can form knowledge space-time, and the research of knowledge-based time-space can determine the real-world technological innovation activities. Knowledge space-time is Corresponding to the information field in the process of technological innovation and its specific structure formed above, it can be combined with the information flow to study the interaction between innovative enterprises in the process of technological innovation. The curvature characteristics of knowledge space-time characterize the influence of specific knowledge in technological innovation network on external information Certainty), and the characteristics of time-space temperature-scale knowledge of science and technology characterize the energy state of technological innovation network, and further determine the orderly state of innovation network knowledge.