Low-carbon technology innovation (LCTI) is an effective way to solve the problem of global climate change and reduce carbon emissions. Therefore, using evolutionary game theory, this research constructs a three-party evolutionary game model of LCTI involving the government, enterprises, and consumers. Moreover, this research investigates the strategic choices of the three parties in the process of LCTI, discusses the stability of the equilibrium point. In particular, it analyzes the influence of different factors on the strategic choices of the three parties through numerical simulation. The results indicate that, 1) the government, enterprises, and consumers are affected to different degrees by each other's initial willingness; 2) the intensity of government regulation, innovation subsidies, and carbon tax rates have different effects on enterprises and consumers; 3) consumers are more sensitive to innovation subsidies. These results could provide references for enterprises to promote the development of LCTI.INDEX TERMS Tripartite evolutionary game, low-carbon technology innovation, simulation analysis.

Intuitionistic fuzzy entropy is an important concept to describe the uncertainty of intuitionistic fuzzy sets (IFSs). To fully measure the fuzziness of IFSs, this paper comprehensively considers the deviation between membership and non-membership and the influence of hesitation, constructs the general expression of intuitionistic fuzzy entropy based on special functions, and proves some of its major properties. Then, it is verified that some existing intuitionistic fuzzy entropies can be constructed by specific functions. Finally, based on a specific parametric intuitionistic fuzzy entropy, this paper applies it to evaluate the regional collaborative innovation capability, to verify the feasibility and practicability of the entropy. In addition, the effectiveness and practicability of this entropy in decision making are further illustrated by comparing it with other entropy measures.

Low-carbon technological innovation is the main means to develop a low-carbon economy, and network knowledge sharing and collaborative innovation is an effective model for the development of low-carbon technologies. First of all, this article adopts a decision-making experiment and evaluation laboratory method and interpretation structure model, combines the two methods, extracts the advantages of the two, and discards the shortcomings of the two, thus constructing a new optimized and upgraded interpretation structure model. We give methods to explore the main influencing factors of collaborative innovation of low-carbon technologies for online knowledge sharing. Based on the industrial network knowledge sharing and cooperation network environment, the network evolution game model of network knowledge sharing knowledge collaboration is constructed to study the rewards and punishments, the profit distribution rate, the knowledge potential difference, and the parameter pairing of the network knowledge sharing cooperation network structure in the process of network knowledge sharing and collaborative knowledge innovation. The influence of the network knowledge sharing cooperation strategy is obtained through simulation to change the size of the relevant parameters so that the network knowledge sharing cooperation agent chooses the network evolution game of the sharing strategy to realize the optimal evolutionary stable strategy. According to the simulation results, this article proposes suggestions from the following aspects, aiming to improve the overall knowledge synergy effect of the network knowledge sharing and cooperation network.