This paper proposes some novel versions of the shuffled particle swarm optimization (SPSO) for solving the frequency modulation sound parameter identification (FMSPI) problem. In the SPSO, a population is divided into several parallel groups and then each group is independently evolved in an evolutionary process using a particle swarm optimization (PSO). This paper employs two different strategies to prevent a premature convergence and providing a better balance between the exploration and exploitation abilities of the SPSO algorithm. Firstly, it proposes that we can use a separate strategy for the inertia weight factor parameter of each group in each iteration of the SPSO algorithm. For the second strategy to provide a deep search of promising areas, a quasi-opposition-based strategy is inserted in the SPSO. Experimental results on FMSPI problems show that new employed strategies reduction lead to achieving a more effective and robust algorithm so as it can considerably improve the performance of the SPSO.