The objective of this paper was to cope with the verification of the message transfer protocol that integrates the electronic signature and the distribution and authentication of Public key in Mobile Game using m-Commerce Choquet fuzzy integral compared with fuzzy integral. They were classified into the security technology, the security policy, the electronic document processing, the electronic document transportation and the encryption and decryption keys in its function. The measures of items of the message security protocol were produced for the verification of the implemented document in every function.