The generalized potential equivalent temperature θ_s can be considered as a new atmospheric parameter which contains vapor and liquid water in it. The physical significance of it and its extended application are further discussed by means of the concise derivation and demonstration. The concept of removal entropy index is proposed on the basis of the theory of dissipative structure. According to the characteristics of the generalized potential equivalent temperature itself, some parameters, such as the atmosphere liquid water content, the atmosphere water substance content,etc. are developed with these parameters, the very useful information for the forecasting of the severe convective weather and heavy rainfall can be provided.