摘要： There has been a growing interest in mathematical models to character the evo- lutionary algorithms.The best-known one of such models is the axiomatic model called the abstract evolutionary algorithm(AEA),which unifies most of the currently known evolu- tionary algorithms and describes the evolution as an abstract stochastic process composed of two fundamental abstract operators:abstract selection and evolution operators.In this paper,we first introduce the definitions of the generalized abstract selection and evolution operators.Then we discuss the characterizatlon of some parameters related to generalized abstract selection and evolution operators.Based on these operators,we finally give the strong convergence of the generalized abstract evolutionary algorithm. The present work provides a big step toward the establishment of a unified theory of evolutionary computa- tion.
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