Hisao Ishibuchi
ABSTRACT
Hypervolume has been frequently used as an indicator to evaluate a solution set in indicator-based evolutionary algorithms (IBEAs). One important issue in such an IBEA is the choice of a reference point. A different solution set is often obtained from a different reference point since the hypervolume calculation depends on the location of the reference point. In this paper, we propose an idea of utilizing this dependency to formulate a meta-level multi-objective set optimization problem. Hypervolume maximization for a different reference point is used as a different objective.
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Digital Library
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- Ishibuchi, H., Sakane, Y., Tsukamoto, N., and Nojima, Y. 2009. Selecting a small number of representative non-dominated solutions by a hypervolume-based solution selection approach. Proc. of 2009 IEEE International Conference on Fuzzy Systems (Jeju Island, Korea, August 20--24, 2009) 1609--1614.Google ScholarCross Ref
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Index Terms
- Meta-level multi-objective formulations of set optimization for multi-objective optimization problems: multi-reference point approach to hypervolume maximization
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