Covariance as a measurement of dispersion allows knowing the behavior of one variable based on another. Its characteristic mechanism makes it a basic component in decision-making processes. This paper introduces some covariance logarithmic aggregation operators including the covariance generalized weighted logarithmic aggregation (Cov-GWLA) operator, the generalized covariance ordered weighted logarithmic aggregation (Cov-GOWLA) operator, the covariance ordered weighted logarithmic aggregation (Cov-OWLA) operator, the induced generalized covariance ordered weighted logarithmic aggregation (Cov-IGOWLA) operator and the induced covariance ordered weighted logarithmic aggregation (Cov-IOWLA) operator. The introduced tools extend the available information when using logarithmic aggregation operators, thus aiding decision and policy makers in the analysis of complex phenomena.