On A Novel Clonal Chaos Adjustment Algorithm

A new immune algorithm - the clonal chaos adjustment algorithm (CCAA) is proposed by integrating the chaos mechanism on the basis of the clonal selection principle and idiotypic immune network theory exhibited in biological immune system. Taking advantages of the ergodic and stochastic properties of chaos logistic equation, an adaptive chaos mutation operator is designed by the combination of prior knowledge of antibody and evolution iterations. The operator can avoid blind research and enhance the convergent speed effectively. By using stochastic processes theory as the mathematical tools, the martingale characteristic of the average fitness function of the population is analyzed and the almost sure strong convergence of CCAA is deduced. In the simulation experiments of multi-modal function optimization, the results verify that the theory convergent conclusion proven above is right, and also show that CCAA can inhibit prematurity and has preferable global convergent ability and stability.