Decision Making on Pareto Front Approximations with Inherent Nondominance
Hartikainen, M., Miettinen, K., & Wiecek, M. M. (2011). Decision Making on Pareto Front Approximations with Inherent Nondominance. In Y. Shi, S. Wang, G. Kou, & J. Wallenius (Eds.), Proceedings of the 2nd International Conference on Applied Operational Research - ICAOR'10 (pp. 35-45). Lecture Notes in Economics and Mathematical Systems, 648. Berlin-Heidelberg: Springer. doi:10.1007/978-3-642-19695-9_3
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t Approximating the Pareto fronts of nonlinear multiobjective optimization problems is considered and a property called inherent nondominance is proposed for such approximations. It is shown that an approximation having the above property can be explored by interactively solving a multiobjective optimization problem related to it. This exploration can be performed with available interactive multiobjective optimization methods. The ideas presented are especially useful in solving computationally expensive multiobjective optimization problems with costly function value evaluations.