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• Based on an activity-driven network, a model dividing individuals into two types, one is risk-ignorant, and the other is risk-averse who may reduce the potential risk of infection by being less social intensity is established. • The outbreak of an epidemic depends most on the proportion of risk-averse individuals. • A large number of risk-averse individuals who change their social intensity raises the theoretical threshold and reduces the epidemic size, thus suppressing the outbreak. • As risk-averse individuals increases, the epidemic is eliminated under small spreading rates. In human society, individual interactions intrinsically change, with profound implications for epidemics. The activity-driven model, a type of temporal network, offers an excellent framework to study epidemic processes in dynamical interaction. In this work, we study how social attitudes affect the transmission of infectious diseases in activity-driven networks. Here, we divide a population into "risk-ignorant" and "risk-averse", in which risk-averse individuals will reduce their social intensity (Social intensity refers to the number of social contacts in the social process) and risk-ignorant individuals will not. A parameter p controls the proportion of risk-averse individuals, and therefore risk-ignorant individuals by 1- p. With the aid of mean-field theory, we calculate epidemic thresholds, as well as validate theoretical predictions with extensive Monte Carlo simulations. It is shown numerically and theoretically that reducing the social intensity and increasing the number of risk-averse individuals are effective ways of controlling epidemic outbreaks. An appropriate proportion of the risk-averse individual will lead to an epidemic die-out, which is based on a small spreading rate. Our research provides a new perspective for understanding the effect of the population with different social attitudes in the epidemic process. [ABSTRACT FROM AUTHOR]