Recently, chaos theory has been used in the development of novel techniques for global optimization , and particularly, in the specification of chaos optimization algorithms (COA) based on the use of numerical sequences generated by means of chaotic map.In this paper, we present an improved chaotic optimization algorithm using a new two-dimensional discrete multifold mapping for optimizing nonlinear functions(ICOMM). The proposed method is a powerful optimization technique, which is demonstrated when three nonlinear functions of reference are minimized using the proposed technique.

Recently, chaos theory has been used in the development of novel techniques for global optimization [3,4], and especially, in the specifi cation of chaos optimization algorithms (COA) based on the use of numerical sequences generated by means of a chaotic map instead of random number generators. There has no strict defi nition of chaos and there are many chaos models now, Logistic mapping function is widely used to generate chaos, but research shows that its sequence isn't symmetrical, which aff ects capability of chaos search. Our main conceptual contributions are to prove the algorithm with other types of chaotic maps and techniques for sampling. In this paper, a chaotic strategy is proposed based on a modifi ed Lozi map a new two-dimensional discrete chaotic attractor. Experiments results showed that the proposed algorithm can achieve good performance.

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