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This approach allows one to rank decision variables according to their impact on the objective function values. On the basis of the sparsity of effects principle, typically only a small number of decision variables significantly affects an objective function. Therefore, neglecting the variables with the smallest impact should lead to an acceptably accurate and simpler metamodel for the original problem. This appealing strategy has been applied only to single-objective optimization problems so far. Given a high-dimensional optimization problem with multiple objectives, a method called anova-mop is proposed for defining a number of independent low-dimensional subproblems with a smaller number of objectives. The method allows one to define approximated solutions for the original problem by suitably combining the solutions of the subproblems. The quality of the approximated solutions and both practical and theoretical aspects related to decision making are discussed.<\/jats:p>","DOI":"10.1137\/16m1096505","type":"journal-article","created":{"date-parts":[[2018,11,29]],"date-time":"2018-11-29T11:05:02Z","timestamp":1543489502000},"page":"3260-3289","source":"Crossref","is-referenced-by-count":9,"title":["ANOVA-MOP: ANOVA Decomposition for Multiobjective Optimization"],"prefix":"10.1137","volume":"28","author":[{"given":"Mohammad","family":"Tabatabaei","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alberto","family":"Lovison","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Matthias","family":"Tan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Markus","family":"Hartikainen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kaisa","family":"Miettinen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,11,29]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1137\/120895056"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004605810296"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1080\/00401706.1986.10488093"},{"key":"atypb4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.2517-6161.1951.tb00067.x","author":"Box G. 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