We describe in this paper a new hybrid approach

for mathematical function optimization combining Particle

Swarm Optimization (PSO) and Genetic Algorithms (GAs)

using Fuzzy Logic for parameter adaptation and integrate the

results. The new evolutionary method combines the advantages

of the fuzzy logic to give us an improved FPSO+FGA hybrid

method. Fuzzy Logic is used to combine the results of the PSO

and GA in the best way possible.