Robustness-based approach for fuzzy multi-objective problems

Oumayma Bahri () and El-Ghazali Talbi ()
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Oumayma Bahri: Centre de Recherche Inria Lille - Nord Europe
El-Ghazali Talbi: Centre de Recherche Inria Lille - Nord Europe

Annals of Operations Research, 2021, vol. 296, issue 1, No 27, 707-733

Abstract: Abstract In recent years, reasoning under uncertainty in multi-objective problems has become an active research area. However, solving this kind of problems reveals many performance and robustness issues that have been so far been neglected. Most of existing studies in this area are focused on dealing with robustness in the field of mono-objective optimization. The aim of the present paper is to address robustness of multi-objective optimization problems over uncertain inputs data. In particular, we focus on the specific case of fuzziness propagation to the multiple objectives in such problems. Then in order to avoid the loss of efficiency of fuzzy-valued objective values, we introduce new robustness techniques combining fuzziness and multi-objective context.

Keywords: Multi-objective optimization; Uncertainty; Fuzzy numbers; $$\beta $$ β -robustness; Pareto optimality; Evolutionary algorithms; Vehicle routing problems (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10479-020-03567-y

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