MCDM'12 - paper no. 8

 

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REAL AND VIRTUAL PARETO SET UPPER APPROXIMATIONS

Ignacy Kaliszewski, Janusz Miroforidis

Abstract:

This paper deals with the problem of the derivation of lower and upper approximations of an efficient element set. We consider the case where upper approximations cannot be derived as criteria mapping images of infeasible variants.

Keywords:

Multiobjective optimization, evolutionary algorithms, lower Pareto set approximations, upper Pareto set approximations.

Reference index:

Ignacy Kaliszewski, Janusz Miroforidis, (2012), REAL AND VIRTUAL PARETO SET UPPER APPROXIMATIONS, Multiple Criteria Decision Making (7), pp. 121-131

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Scopus citations in 4 paper(s):
  1. Kaliszewski, I., & Miroforidis, J. (2013). Primal-dual type evolutionary multiobjective optimization. Foundations of Computing and Decision Sciences, 38(4), 267-275. doi:10.2478/fcds-2013-0013
  2. Kaliszewski, I., & Miroforidis, J. (2014). Two-sided pareto front approximations. Journal of Optimization Theory and Applications, 162(3), 845-855. doi:10.1007/s10957-013-0498-y
  3. Kaliszewski, I., & Miroforidis, J. (2018). On upper approximations of pareto fronts. Journal of Global Optimization, 72(3), 475-490. doi:10.1007/s10898-018-0642-1
  4. Miroforidis, J. (2017). Interactive multiple criteria decision making for large-scale multi-objective optimization problems. International Journal of Information and Management Sciences, 28(4), 299-316. doi:10.6186/IJIMS.2017.28.4.1