Using reputation and payoff fusion information as a strategy update rule has been demonstrated to improve the level of cooperation. Individuals with relatively high reputations tend to have a relatively high influence on cooperation. Based on this idea, this study expanded the influence range of individuals with a relatively high reputation. We explored the impact of the above changes on cooperation evolution in a spatial public goods game that uses reputation and payoff fusion information as a strategy update rule. The results showed that expanding the range of influence of individuals with a relatively high reputation improved the cooperative level of the population when the reputation weight, ω, was moderate. However, when ω was small, expanding the range of relatively high-reputation individuals' influence decreased the cooperative level of the population. We also analyzed fluctuations in the cooperative evolution process and its evolutionary causes.