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| RESEARCH ON UNCERTAIN MULTI-OBJECTIVE OPTIMIZATION METHOD BASED ON INTERVAL |
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Abstract Abstract：A new uncertain multi-objective optimization method is developed based on a nonlinear interval number programming(NINP) and an interval analysis method. Based on order relation of interval number and possibility degree of interval number, the uncertain multi-objective optimization is transformed into a deterministic non-constraint multi-objective optimization in terms of a penalty function. To improve the optimization efficiency, The quadratic polynomial response surface approximation is created based on the Latin Hypercube Design(LHD) .the NINP method is combined with an approximation to form an efficient uncertain multi-objective optimization method. Pareto optimal set is proposed. Two numerical examples are presented to demonstrate the effectiveness of the present method and practicability of the project.
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Received: 06 February 2009
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2010, Vol. 31 
