{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T03:54:56Z","timestamp":1779249296966,"version":"3.51.4"},"reference-count":58,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,9,24]],"date-time":"2022-09-24T00:00:00Z","timestamp":1663977600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2022,9,24]],"date-time":"2022-09-24T00:00:00Z","timestamp":1663977600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"name":"International Graduate Exchange Program of Beijing Institute of Technology"},{"name":"National Outstanding Youth Talents Support Program","award":["61822304"],"award-info":[{"award-number":["61822304"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61673058"],"award-info":[{"award-number":["61673058"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100017054","name":"NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization","doi-asserted-by":"crossref","award":["U1609214"],"award-info":[{"award-number":["U1609214"]}],"id":[{"id":"10.13039\/100017054","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100002341","name":"Academy of Finland","doi-asserted-by":"crossref","award":["287496"],"award-info":[{"award-number":["287496"]}],"id":[{"id":"10.13039\/501100002341","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2023,3]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Interactive multiobjective optimization methods have proven promising in solving optimization problems with conflicting objectives since they iteratively incorporate preference information of a decision maker in the search for the most preferred solution. To find the appropriate interactive method for various needs involves analysis of the strengths and weaknesses. However, extensive analysis with human decision makers may be too costly and for that reason, we propose an artificial decision maker to compare a class of popular interactive multiobjective optimization methods, i.e., reference point based methods. Without involving any human decision makers, the artificial decision maker works automatically to interact with different methods to be compared and evaluate the final results. It makes a difference between a learning phase and a decision phase, that is, learns about the problem based on information acquired to identify a region of interest and refines solutions in that region to find a final solution, respectively. We adopt different types of utility functions to evaluation solutions, present corresponding performance indicators and propose two examples of artificial decision makers. A series of experiments on benchmark test problems and a water resources planning problem is conducted to demonstrate how the proposed artificial decision makers can be used to compare reference point based methods.<\/jats:p>","DOI":"10.1007\/s10898-022-01230-3","type":"journal-article","created":{"date-parts":[[2022,9,24]],"date-time":"2022-09-24T02:02:19Z","timestamp":1663984939000},"page":"757-788","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Comparing reference point based interactive multiobjective optimization methods without a human decision maker"],"prefix":"10.1007","volume":"85","author":[{"given":"Lu","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1013-4689","authenticated-orcid":false,"given":"Kaisa","family":"Miettinen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Xin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vesa","family":"Ojalehto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,9,24]]},"reference":[{"key":"1230_CR1","doi-asserted-by":"crossref","unstructured":"Afsar, B., Miettinen, K., Ruiz, A.B.: Artificial decision maker for comparing reference point based interactive evolutionary multiobjective optimization methods. In: Ishibuchi, H., Zhang, Q., Cheng, R., Li, K., Li, H., Wang, H., Zhou, A.: (eds.) Evolutionary Multi-Criterion Optimization, 11th International Conference, EMO 2021, Proceedings, pp. 619\u2013631 (2021)","DOI":"10.1007\/978-3-030-72062-9_49"},{"key":"1230_CR2","doi-asserted-by":"crossref","unstructured":"Afsar, B., Ruiz, A.B., Miettinen, K.: Comparing interactive evolutionary multiobjective optimization methods with an artificial decision maker. Complex Intell. Syst. https:\/\/doi.org\/10.1007\/s40747-021-00586-5","DOI":"10.1007\/s40747-021-00586-5"},{"issue":"2","key":"1230_CR3","doi-asserted-by":"publisher","first-page":"408","DOI":"10.1016\/0377-2217(94)00251-7","volume":"89","author":"Y Aksoy","year":"1996","unstructured":"Aksoy, Y., Butler, T.W., Minor, E.D.: Comparative studies in interactive multiple objective mathematical programming. Eur. J. Oper. Res. 89(2), 408\u2013422 (1996)","journal-title":"Eur. J. Oper. Res."},{"key":"1230_CR4","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1007\/978-3-319-99253-2_22","volume-title":"Proceedings of the International Conference on Parallel Problem Solving from Nature","author":"C Barba-Gonz\u00e1lez","year":"2018","unstructured":"Barba-Gonz\u00e1lez, C., Ojalehto, V., Garc\u00eda-Nieto, J., Nebro, A.J., Miettinen, K., Aldana-Montes, J.F.: Artificial decision maker driven by PSO: An approach for testing reference point based interactive methods. In: Auger, A., et al. (eds.) Proceedings of the International Conference on Parallel Problem Solving from Nature, pp. 274\u2013285. Springer, Berlin (2018)"},{"key":"1230_CR5","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/bs.adcom.2015.03.001","volume":"98","author":"S Bechikh","year":"2015","unstructured":"Bechikh, S., Kessentini, M., Said, L.B., Gh\u00e9dira, K.: Preference incorporation in evolutionary multiobjective optimization: a survey of the state-of-the-art. Adv. Comput. 98, 141\u2013207 (2015)","journal-title":"Adv. Comput."},{"key":"1230_CR6","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1007\/978-3-540-88908-3_15","volume-title":"Multiobjective Optimization: Interactive and Evolutionary Approaches","author":"V Belton","year":"2008","unstructured":"Belton, V., Branke, J., Eskelinen, P., Greco, S., Molina, J., Ruiz, F., S\u0142owi\u0144ski, R.: Interactive multiobjective optimization from a learning perspective. In: Branke, J., Deb, K., Miettinen, K., S\u0142owi\u0144ski, R. (eds.) Multiobjective Optimization: Interactive and Evolutionary Approaches, pp. 405\u2013433. Springer, Berlin (2008)"},{"key":"1230_CR7","doi-asserted-by":"crossref","unstructured":"Branke, J., Deb, K., Miettinen, K., S\u0142owi\u0144ski, R. (eds.): Multiobjective Optimization: Interactive and Evolutionary Approaches. Springer (2008)","DOI":"10.1007\/978-3-540-88908-3"},{"issue":"9","key":"1230_CR8","doi-asserted-by":"publisher","first-page":"1050","DOI":"10.1057\/jors.1994.170","volume":"45","author":"JT Buchanan","year":"1994","unstructured":"Buchanan, J.T.: An experimental evaluation of interactive MCDM methods and the decision making process. J. Oper. Res. Soc. 45(9), 1050\u20131059 (1994)","journal-title":"J. Oper. Res. Soc."},{"issue":"10","key":"1230_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-020-3092-y","volume":"64","author":"L Chen","year":"2021","unstructured":"Chen, L., Xin, B., Chen, J.: Interactive multiobjective evolutionary algorithm based on decomposition and compression. SCIENCE CHINA Inf. Sci. 64(10), 202201 (2021)","journal-title":"SCIENCE CHINA Inf. Sci."},{"key":"1230_CR10","doi-asserted-by":"crossref","unstructured":"Chen, L., Xin, B., Chen, J., Li, J.: A virtual-decision-maker library considering personalities and dynamically changing preference structures for interactive multiobjective optimization. In: Proceedings of the IEEE Congress on Evolutionary Computation, pp. 636\u2013641. IEEE (2017)","DOI":"10.1109\/CEC.2017.7969370"},{"issue":"2","key":"1230_CR11","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1002\/mcda.4020040204","volume":"4","author":"JL Corner","year":"1995","unstructured":"Corner, J.L., Buchanan, J.T.: Experimental consideration of preference in decision making under certainty. J. Multi-Criteria Decis. Anal. 4(2), 107\u2013121 (1995)","journal-title":"J. Multi-Criteria Decis. Anal."},{"issue":"1","key":"1230_CR12","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/0377-2217(95)00326-6","volume":"98","author":"JL Corner","year":"1997","unstructured":"Corner, J.L., Buchanan, J.T.: Capturing decision maker preference: experimental comparison of decision analysis and MCDM techniques. Eur. J. Oper. Res. 98(1), 85\u201397 (1997)","journal-title":"Eur. J. Oper. Res."},{"key":"1230_CR13","doi-asserted-by":"crossref","unstructured":"Deb, K., Kumar, A.: Interactive evolutionary multi-objective optimization and decision-making using reference direction method. In: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation, pp. 781\u2013788. ACM (2007)","DOI":"10.1145\/1276958.1277116"},{"key":"1230_CR14","doi-asserted-by":"crossref","unstructured":"Deb, K., Kumar, A.: Light beam search based multi-objective optimization using evolutionary algorithms. In: Proceedings of the IEEE Congress on Evolutionary Computation, pp. 2125\u20132132. IEEE (2007)","DOI":"10.1109\/CEC.2007.4424735"},{"issue":"6","key":"1230_CR15","doi-asserted-by":"publisher","first-page":"821","DOI":"10.1109\/TEVC.2010.2041667","volume":"14","author":"K Deb","year":"2010","unstructured":"Deb, K., Miettinen, K., Chaudhuri, S.: Toward an estimation of nadir objective vector using a hybrid of evolutionary and local search approaches. IEEE Trans. Evol. Comput. 14(6), 821\u2013841 (2010)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"2","key":"1230_CR16","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1109\/4235.996017","volume":"6","author":"K Deb","year":"2002","unstructured":"Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182\u2013197 (2002)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"3","key":"1230_CR17","first-page":"273","volume":"2","author":"K Deb","year":"2006","unstructured":"Deb, K., Sundar, J., Udaya Bhaskara\u00a0Rao, N., Chaudhuri, S.: Reference point based multi-objective optimization using evolutionary algorithms. Int. J. Comput. Intell. Res. 2(3), 273\u2013286 (2006)","journal-title":"Int. J. Comput. Intell. Res."},{"key":"1230_CR18","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1007\/1-84628-137-7_6","volume-title":"Evolutionary Multiobjective Optimization","author":"K Deb","year":"2005","unstructured":"Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable test problems for evolutionary multiobjective optimization. In: Abraham, A., Jain, L., Goldberg, R. (eds.) Evolutionary Multiobjective Optimization, pp. 105\u2013145. Springer, Berlin (2005)"},{"key":"1230_CR19","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1007\/978-3-642-60667-0_28","volume-title":"Multicriteria Analysis","author":"LR Gardiner","year":"1997","unstructured":"Gardiner, L.R., Vanderpooten, D.: Interactive multiple criteria procedures: some reflections. In: Cl\u00edmaco, J. (ed.) Multicriteria Analysis, pp. 290\u2013301. Springer, Berlin (1997)"},{"issue":"9","key":"1230_CR20","doi-asserted-by":"publisher","first-page":"1572","DOI":"10.1080\/00207721.2013.823526","volume":"46","author":"I Giagkiozis","year":"2015","unstructured":"Giagkiozis, I., Purshouse, R.C., Fleming, P.J.: An overview of population-based algorithms for multi-objective optimisation. Int. J. Syst. Sci. 46(9), 1572\u20131599 (2015)","journal-title":"Int. J. Syst. Sci."},{"key":"1230_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-45511-7","volume-title":"Multiple Objective Decision Making\u2014Methods and Applications: A State-of-the-Art Survey","author":"CL Hwang","year":"1979","unstructured":"Hwang, C.L., Masud, A.S.M.: Multiple Objective Decision Making\u2014Methods and Applications: A State-of-the-Art Survey. Springer, Berlin (1979)"},{"issue":"2","key":"1230_CR22","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1016\/S0377-2217(98)00218-5","volume":"113","author":"A Jaszkiewicz","year":"1999","unstructured":"Jaszkiewicz, A., S\u0142owi\u0144ski, R.: The \u2018Light Beam Search\u2019 approach\u2014an overview of methodology applications. Eur. J. Oper. Res. 113(2), 300\u2013314 (1999)","journal-title":"Eur. J. Oper. Res."},{"issue":"2","key":"1230_CR23","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/0377-2217(86)90050-0","volume":"24","author":"PJ Korhonen","year":"1986","unstructured":"Korhonen, P.J., Laakso, J.: A visual interactive method for solving the multiple criteria problem. Eur. J. Oper. Res. 24(2), 277\u2013287 (1986)","journal-title":"Eur. J. Oper. Res."},{"issue":"3","key":"1230_CR24","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1002\/mcda.4020010303","volume":"1","author":"OI Larichev","year":"1992","unstructured":"Larichev, O.I.: Cognitive validity in design of decision-aiding techniques. J. Multi-Criteria Decis. Anal. 1(3), 127\u2013138 (1992)","journal-title":"J. Multi-Criteria Decis. Anal."},{"issue":"12","key":"1230_CR25","doi-asserted-by":"publisher","first-page":"2568","DOI":"10.1109\/TCYB.2014.2310651","volume":"44","author":"M Li","year":"2014","unstructured":"Li, M., Yang, S., Liu, X.: Diversity comparison of Pareto front approximations in many-objective optimization. IEEE Trans. Cybern. 44(12), 2568\u20132584 (2014)","journal-title":"IEEE Trans. Cybern."},{"key":"1230_CR26","first-page":"295","volume-title":"Evolutionary Multi-Criterion Optimization, 8th International Conference, EMO 2015, Proceedings","author":"M L\u00f3pez-Ib\u00e1\u00f1ez","year":"2015","unstructured":"L\u00f3pez-Ib\u00e1\u00f1ez, M., Knowles, J.: Machine decision makers as a laboratory for interactive EMO. In: Gaspar-Cunha, A., Henggeler, A., Coello, C.A.C. (eds.) Evolutionary Multi-Criterion Optimization, 8th International Conference, EMO 2015, Proceedings, pp. 295\u2013309. Springer, Berlin (2015)"},{"issue":"7","key":"1230_CR27","doi-asserted-by":"publisher","first-page":"1673","DOI":"10.1016\/j.cor.2011.10.002","volume":"39","author":"M Luque","year":"2012","unstructured":"Luque, M., Miettinen, K., Ruiz, A.B., Ruiz, F.: A two-slope achievement scalarizing function for interactive multiobjective optimization. Comput. Oper. Res. 39(7), 1673\u20131681 (2012)","journal-title":"Comput. Oper. Res."},{"issue":"3","key":"1230_CR28","doi-asserted-by":"publisher","first-page":"575","DOI":"10.1007\/BF02023612","volume":"5","author":"B Malakooti","year":"1985","unstructured":"Malakooti, B., Ravindran, A.: Experiments with an interactive paired comparison simplex method for MOLP problems. Ann. Oper. Res. 5(3), 575\u2013597 (1985)","journal-title":"Ann. Oper. Res."},{"key":"1230_CR29","volume-title":"Nonlinear Multiobjective Optimization","author":"K Miettinen","year":"1999","unstructured":"Miettinen, K.: Nonlinear Multiobjective Optimization. Kluwer, Dordrecht (1999)"},{"key":"1230_CR30","doi-asserted-by":"publisher","first-page":"927","DOI":"10.1007\/978-1-4939-3094-4_22","volume-title":"Multiple Criteria Decision Analysis: State of the Art Surveys","author":"K Miettinen","year":"2016","unstructured":"Miettinen, K., Hakanen, J., Podkopaev, D.: Interactive nonlinear multiobjective optimization methods. In: Greco, S., Ehrgott, M., Figueira, J.R. (eds.) Multiple Criteria Decision Analysis: State of the Art Surveys, 2nd edn., pp. 927\u2013976. Springer, Berlin (2016)","edition":"2"},{"issue":"2","key":"1230_CR31","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/s00291-001-0092-9","volume":"24","author":"K Miettinen","year":"2002","unstructured":"Miettinen, K., M\u00e4kel\u00e4, M.M.: On scalarizing functions in multiobjective optimization. OR Spectrum 24(2), 193\u2013213 (2002)","journal-title":"OR Spectrum"},{"issue":"2","key":"1230_CR32","doi-asserted-by":"publisher","first-page":"931","DOI":"10.1016\/j.ejor.2005.06.019","volume":"175","author":"K Miettinen","year":"2006","unstructured":"Miettinen, K., M\u00e4kel\u00e4, M.M., Kaario, K.: Experiments with classification-based scalarizing functions in interactive multiobjective optimization. Eur. J. Oper. Res. 175(2), 931\u2013947 (2006)","journal-title":"Eur. J. Oper. Res."},{"key":"1230_CR33","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1007\/978-3-540-88908-3_2","volume-title":"Multiobjective Optimization: Interactive and Evolutionary Approaches","author":"K Miettinen","year":"2008","unstructured":"Miettinen, K., Ruiz, F., Wierzbicki, A.P.: Introduction to multiobjective optimization: Interactive approaches. In: Branke, J., Deb, K., Miettinen, K., S\u0142owi\u0144ski, R. (eds.) Multiobjective Optimization: Interactive and Evolutionary Approaches, pp. 27\u201357. Springer, Berlin (2008)"},{"issue":"2","key":"1230_CR34","doi-asserted-by":"publisher","first-page":"685","DOI":"10.1016\/j.ejor.2008.07.015","volume":"197","author":"J Molina","year":"2009","unstructured":"Molina, J., Santana, L.V., Hern\u00e1ndez-D\u00edaz, A.G., Coello, C.A.C., Caballero, R.: g-dominance: Reference point based dominance for multiobjective metaheuristics. Eur. J. Oper. Res. 197(2), 685\u2013692 (2009)","journal-title":"Eur. J. Oper. Res."},{"issue":"10","key":"1230_CR35","doi-asserted-by":"publisher","first-page":"719","DOI":"10.1016\/0895-7177(88)90085-4","volume":"10","author":"J Mote","year":"1988","unstructured":"Mote, J., Olson, D.L., Venkataramanan, M.A.: A comparative multiobjective programming study. Math. Comput. Model. 10(10), 719\u2013729 (1988)","journal-title":"Math. Comput. Model."},{"key":"1230_CR36","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1007\/978-1-4757-2383-0_10","volume-title":"Advances in Multicriteria Analysis","author":"H Nakayama","year":"1995","unstructured":"Nakayama, H.: Aspiration level approach to interactive multi-objective programming and its applications. In: Pardalos, P., Siskos, Y., Zopounidis, C. (eds.) Advances in Multicriteria Analysis, pp. 147\u2013174. Springer, Berlin (1995)"},{"key":"1230_CR37","first-page":"483","volume-title":"Proceedings of the International Conference on Parallel Problem Solving from Nature","author":"V Ojalehto","year":"2016","unstructured":"Ojalehto, V., Podkopaev, D., Miettinen, K.: Towards automatic testing of reference point based interactive methods. In: Handl, J., et al. (eds.) Proceedings of the International Conference on Parallel Problem Solving from Nature, pp. 483\u2013492. Springer, Berlin (2016)"},{"key":"1230_CR38","doi-asserted-by":"publisher","first-page":"150037","DOI":"10.1109\/ACCESS.2021.3123432","volume":"9","author":"D Podkopaev","year":"2021","unstructured":"Podkopaev, D., Miettinen, K., Ojalehto, V.: An approach to the automatic comparison of reference point-based interactive methods for multiobjective optimization. IEEE Access 9, 150037\u2013150048 (2021)","journal-title":"IEEE Access"},{"issue":"2","key":"1230_CR39","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1016\/0377-2217(89)90385-8","volume":"41","author":"GR Reeves","year":"1989","unstructured":"Reeves, G.R., Gonzalez, J.J.: A comparison of two interactive MCDM procedures. Eur. J. Oper. Res. 41(2), 203\u2013209 (1989)","journal-title":"Eur. J. Oper. Res."},{"key":"1230_CR40","first-page":"249","volume-title":"Evolutionary Multi-Criterion Optimization, 8th International Conference, EMO 2015, Proceedings, Part II","author":"AB Ruiz","year":"2015","unstructured":"Ruiz, A.B., Luque, M., Miettinen, K., Saborido, R.: An interactive evolutionary multiobjective optimization method: Interactive WASF-GA. In: Gaspar-Cunha, A., Antunes, C.H., Coello, C.A.C. (eds.) Evolutionary Multi-Criterion Optimization, 8th International Conference, EMO 2015, Proceedings, Part II, pp. 249\u2013263. Springer, Berlin (2015)"},{"issue":"1","key":"1230_CR41","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s10898-014-0214-y","volume":"62","author":"AB Ruiz","year":"2015","unstructured":"Ruiz, A.B., Saborido, R., Luque, M.: A preference-based evolutionary algorithm for multiobjective optimization: the weighting achievement scalarizing function genetic algorithm. J. Global Optim. 62(1), 101\u2013129 (2015)","journal-title":"J. Global Optim."},{"issue":"3","key":"1230_CR42","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1016\/j.ejor.2007.05.009","volume":"188","author":"F Ruiz","year":"2008","unstructured":"Ruiz, F., Luque, M., Miguel, F., del Mar Mu\u00f1oz, M.: An additive achievement scalarizing function for multiobjective programming problems. Eur. J. Oper. Res. 188(3), 683\u2013694 (2008)","journal-title":"Eur. J. Oper. Res."},{"issue":"5","key":"1230_CR43","doi-asserted-by":"publisher","first-page":"801","DOI":"10.1109\/TEVC.2010.2041060","volume":"14","author":"LB Said","year":"2010","unstructured":"Said, L.B., Bechikh, S., Gh\u00e9dira, K.: The r-dominance: a new dominance relation for interactive evolutionary multicriteria decision making. IEEE Trans. Evol. Comput. 14(5), 801\u2013818 (2010)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"3","key":"1230_CR44","doi-asserted-by":"publisher","first-page":"380","DOI":"10.1016\/0377-2217(92)90321-Y","volume":"56","author":"WS Shin","year":"1992","unstructured":"Shin, W.S., Ravindran, A.: A comparative study of interactive tradeoff cutting plane methods for MOMP. Eur. J. Oper. Res. 56(3), 380\u2013393 (1992)","journal-title":"Eur. J. Oper. Res."},{"key":"1230_CR45","volume-title":"Multiple Criteria Optimization: Theory, Computation, and Applications","author":"RE Steuer","year":"1986","unstructured":"Steuer, R.E.: Multiple Criteria Optimization: Theory, Computation, and Applications. Wiley, New York (1986)"},{"issue":"4","key":"1230_CR46","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn, R., Price, K.: Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11(4), 341\u2013359 (1997)","journal-title":"J. Global Optim."},{"key":"1230_CR47","first-page":"16","volume":"3","author":"M Szczepa\u0144ski","year":"2003","unstructured":"Szczepa\u0144ski, M., Wierzbicki, A.P.: Application of multiple criteria evolutionary algorithms to vector optimisation, decision support and reference point approaches. J. Telecommun. Inf. Technol. 3, 16\u201333 (2003)","journal-title":"J. Telecommun. Inf. Technol."},{"issue":"1","key":"1230_CR48","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00158-015-1226-z","volume":"52","author":"M Tabatabaei","year":"2015","unstructured":"Tabatabaei, M., Hakanen, J., Hartikainen, M., Miettinen, K., Sindhya, K.: A survey on handling computationally expensive multiobjective optimization problems using surrogates: non-nature inspired methods. Struct. Multidiscip. Optim. 52(1), 1\u201325 (2015)","journal-title":"Struct. Multidiscip. Optim."},{"issue":"3","key":"1230_CR49","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1162\/evco.2009.17.3.411","volume":"17","author":"L Thiele","year":"2009","unstructured":"Thiele, L., Miettinen, K., Korhonen, P.J., Molina, J.: A preference-based evolutionary algorithm for multi-objective optimization. Evol. Comput. 17(3), 411\u2013436 (2009)","journal-title":"Evol. Comput."},{"issue":"4","key":"1230_CR50","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1109\/MCI.2017.2742868","volume":"12","author":"Y Tian","year":"2017","unstructured":"Tian, Y., Cheng, R., Zhang, X., Jin, Y.: PlatEMO: a MATLAB platform for evolutionary multi-objective optimization. IEEE Comput. Intell. Mag. 12(4), 73\u201387 (2017)","journal-title":"IEEE Comput. Intell. Mag."},{"issue":"5","key":"1230_CR51","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1016\/0270-0255(82)90038-0","volume":"3","author":"AP Wierzbicki","year":"1982","unstructured":"Wierzbicki, A.P.: A mathematical basis for satisficing decision making. Math. Model. 3(5), 391\u2013405 (1982)","journal-title":"Math. Model."},{"issue":"2","key":"1230_CR52","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/BF01719738","volume":"8","author":"AP Wierzbicki","year":"1986","unstructured":"Wierzbicki, A.P.: On the completeness and constructiveness of parametric characterizations to vector optimization problems. OR Spectrum 8(2), 73\u201387 (1986)","journal-title":"OR Spectrum"},{"issue":"1","key":"1230_CR53","doi-asserted-by":"publisher","first-page":"41256","DOI":"10.1109\/ACCESS.2018.2856832","volume":"6","author":"B Xin","year":"2018","unstructured":"Xin, B., Chen, L., Chen, J., Ishibuchi, H., Hirota, K., Liu, B.: Interactive multiobjective optimization: a review of the state-of-the-art. IEEE Access 6(1), 41256\u201341279 (2018)","journal-title":"IEEE Access"},{"issue":"1","key":"1230_CR54","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1109\/TEVC.2013.2240687","volume":"18","author":"GG Yen","year":"2014","unstructured":"Yen, G.G., He, Z.: Performance metric ensemble for multiobjective evolutionary algorithms. IEEE Trans. Evol. Comput. 18(1), 131\u2013144 (2014)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"3","key":"1230_CR55","doi-asserted-by":"publisher","first-page":"507","DOI":"10.1016\/S0377-2217(97)00147-1","volume":"107","author":"SH Zanakis","year":"1998","unstructured":"Zanakis, S.H., Solomon, A., Wishart, N., Dublish, S.: Multi-attribute decision making: a simulation comparison of select methods. Eur. J. Oper. Res. 107(3), 507\u2013529 (1998)","journal-title":"Eur. J. Oper. Res."},{"issue":"1","key":"1230_CR56","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1016\/j.swevo.2011.03.001","volume":"1","author":"A Zhou","year":"2011","unstructured":"Zhou, A., Qu, B.Y., Li, H., Zhao, S.Z., Suganthan, P.N., Zhang, Q.: Multiobjective evolutionary algorithms: a survey of the state of the art. Swarm Evol. Comput. 1(1), 32\u201349 (2011)","journal-title":"Swarm Evol. Comput."},{"issue":"2","key":"1230_CR57","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1162\/106365600568202","volume":"8","author":"E Zitzler","year":"2000","unstructured":"Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: empirical results. Evol. Comput. 8(2), 173\u2013195 (2000)","journal-title":"Evol. Comput."},{"key":"1230_CR58","first-page":"51","volume-title":"Proceedings of the International Conference on Information and Software Technologies","author":"A Zujevs","year":"2011","unstructured":"Zujevs, A., Eiduks, J.: New decision maker model for multiobjective optimization interactive methods. In: Butleris, R., et al. (eds.) Proceedings of the International Conference on Information and Software Technologies, pp. 51\u201358. Kaunas Technologija, Kaunas (2011)"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-022-01230-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10898-022-01230-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-022-01230-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,25]],"date-time":"2023-02-25T05:10:29Z","timestamp":1677301829000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10898-022-01230-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,24]]},"references-count":58,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,3]]}},"alternative-id":["1230"],"URL":"https:\/\/doi.org\/10.1007\/s10898-022-01230-3","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,24]]},"assertion":[{"value":"22 March 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 August 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 September 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}