Feng Deng-Guo suggested a problem so called “threshold group-signature scheme with privilege subsets”. This paper analyzes the security of such schemes at present and propose new schemes. Based on theory of finite fields, the authors firstly show there are some insufficiencies and potential hazard in the scheme proposed by Shi, et al. Secondly, using the idea of constructing group-signature scheme by individual signature scheme, a group of the ones with four variants of type of ElGamal are put fordward, which have some attractive properties, such as message recovery, shorter length of signature, etc. Finally, the security of the schemes is proved under the assumption that the respective individual signature schemes are secure.