{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T03:27:59Z","timestamp":1773804479977,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2008,9,10]],"date-time":"2008-09-10T00:00:00Z","timestamp":1221004800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2009,2]]},"DOI":"10.1007\/s10479-008-0418-y","type":"journal-article","created":{"date-parts":[[2008,9,9]],"date-time":"2008-09-09T15:30:00Z","timestamp":1220974200000},"page":"271-279","source":"Crossref","is-referenced-by-count":8,"title":["Properties of a method for polyhedral approximation of\u00a0the\u00a0feasible criterion set in convex multiobjective problems"],"prefix":"10.1007","volume":"166","author":[{"given":"Roman V.","family":"Efremov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Georgy K.","family":"Kamenev","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2008,9,10]]},"reference":[{"key":"418_CR1","volume-title":"Methods for the construction and application of generalized reachable sets","author":"V. A. Bushenkov","year":"1982","unstructured":"Bushenkov, V. A., & Lotov, A. V. (1982). Methods for the construction and application of generalized reachable sets. Moscow: Computing Center of the USSR Academy of Sciences (in Russian)."},{"issue":"5","key":"418_CR2","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0041-5553(88)90010-9","volume":"28","author":"O. L. Chernykh","year":"1988","unstructured":"Chernykh, O. L. (1988). Construction of the convex hull of a finite set of points when the computations are approximate. Computational Mathematics and Mathematical Physics, 28(5), 71\u201377.","journal-title":"Computational Mathematics and Mathematical Physics"},{"issue":"8","key":"418_CR3","first-page":"1033","volume":"35","author":"O. L. Chernykh","year":"1995","unstructured":"Chernykh, O. L. (1995). Approximating the Pareto hull of a convex set by polyhedral sets. Computational Mathematics and Mathematical Physics, 35(8), 1033\u20131039.","journal-title":"Computational Mathematics and Mathematical Physics"},{"key":"418_CR4","first-page":"207","volume-title":"Topics on system analysis and integrated water resource management","author":"J. Dietrich","year":"2006","unstructured":"Dietrich, J., Schumann, A. H., & Lotov, A. V. (2006). Workflow oriented participatory decision support for integrated river basin planning. In A. Castelletti & R. Soncini Sessa (Eds.), Topics on system analysis and integrated water resource management (pp. 207\u2013221). Amsterdam: Elsevier."},{"issue":"1","key":"418_CR5","first-page":"20","volume":"42","author":"R. V. Efremov","year":"2002","unstructured":"Efremov, R. V., & Kamenev, G. K. (2002). An a priori estimate for the asymptotic efficiency of a class of algorithms for the polyhedral approximation of convex bodies. Computational Mathematics and Mathematical Physics, 42(1), 20\u201329.","journal-title":"Computational Mathematics and Mathematical Physics"},{"key":"418_CR6","unstructured":"Efremov, R., Rios Insua, D., & Lotov, A. (2006). A framework for participatory group decision support over the Web based on Pareto frontier visualization, goal identification and arbitration. Rey Juan Carlos University technical reports on statistics and decision sciences."},{"key":"418_CR7","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1002\/nav.3800020106","volume":"2","author":"S. Gass","year":"1955","unstructured":"Gass, S., & Saaty, T. (1955). The computational algorithm for the parametric objective function. Naval Research Logistics Quarterly, 2, 39.","journal-title":"Naval Research Logistics Quarterly"},{"key":"418_CR8","first-page":"281","volume":"5","author":"P. M. Gruber","year":"1993","unstructured":"Gruber, P. M. (1993). Asymptotic estimates for best and stepwise approximation of convex bodies I. Forum Mathematicum, 5, 281\u2013297.","journal-title":"Forum Mathematicum"},{"issue":"1","key":"418_CR9","first-page":"114","volume":"32","author":"G. K. Kamenev","year":"1992","unstructured":"Kamenev, G. K. (1992). A class of adaptive algorithms for the approximation of bodies by polyhedra. Computational Mathematics and Mathematical Physics, 32(1), 114\u2013127.","journal-title":"Computational Mathematics and Mathematical Physics"},{"issue":"4","key":"418_CR10","first-page":"521","volume":"34","author":"G. K. Kamenev","year":"1994","unstructured":"Kamenev, G. K. (1994). Investigation of an algorithm for the approximation of convex bodies. Computational Mathematics and Mathematical Physics, 34(4), 521\u2013528.","journal-title":"Computational Mathematics and Mathematical Physics"},{"key":"418_CR11","doi-asserted-by":"crossref","unstructured":"Larichev, O. Cognitive validity in design of decision-aiding techniques. Journal of Multi-Criteria Decision Analysis 1(3) (1992).","DOI":"10.1002\/mcda.4020010303"},{"key":"418_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4419-8851-5","volume-title":"Interactive decision maps. Approximation and visualization of Pareto frontier","author":"A. V. Lotov","year":"2004","unstructured":"Lotov, A. V., Bushenkov, V. A., & Kamenev, G. K. (2004a). Interactive decision maps. Approximation and visualization of Pareto frontier. Dordrecht: Kluwer Academic."},{"key":"418_CR13","first-page":"263","volume-title":"Lecture notes in artificial intelligence","author":"A. Lotov","year":"2004","unstructured":"Lotov, A., Kistanov, A., & Zaitsev, A. (2004b). Visualization-based data mining tool and its Web application. In Y. Shi, W. Xu, & Z. Chen (Eds.), Lecture notes in artificial intelligence (Vol. 3327(XIII), p. 263). Berlin\/Heidelberg: Springer."},{"key":"418_CR14","volume-title":"Convex polytopes and the upper bound conjecture","author":"P. McMullen","year":"1971","unstructured":"McMullen, P., & Shephard, G. C. (1971). Convex polytopes and the upper bound conjecture. Cambridge: Cambridge University Press."},{"key":"418_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1098-6","volume-title":"Computational geometry: An introduction","author":"F. P. Preparata","year":"1985","unstructured":"Preparata, F. P., & Shamos, M. I. (1985). Computational geometry: An introduction. New York: Springer."},{"issue":"3","key":"418_CR16","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1007\/BF01679698","volume":"256","author":"R. Schneider","year":"1983","unstructured":"Schneider, R. (1983). Zur optimalen Approximation konvexer Hyperfl\u00e4chen durch Polyeder. Mathematische Annalen, 256(3), 289\u2013301.","journal-title":"Mathematische Annalen"},{"key":"418_CR17","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1112\/blms\/13.2.149","volume":"13","author":"R. Schneider","year":"1981","unstructured":"Schneider, R., & Wieacker, J. A. (1981). Approximation of convex bodies by polytopes. Bulletin of the London Mathematical Society, 13, 149\u2013156.","journal-title":"Bulletin of the London Mathematical Society"},{"key":"418_CR18","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1007\/978-3-642-45527-8_36","volume-title":"Organizations: Multiple agents with multiple criteria","author":"A. Wierzbicki","year":"1981","unstructured":"Wierzbicki, A. (1981). A mathematical basis for satisfying decision making. In J. Morse (Ed.), Organizations: Multiple agents with multiple criteria (pp. 465\u2013485). Berlin: Springer."}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-008-0418-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-008-0418-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-008-0418-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T18:07:49Z","timestamp":1559153269000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-008-0418-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,9,10]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,2]]}},"alternative-id":["418"],"URL":"https:\/\/doi.org\/10.1007\/s10479-008-0418-y","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,9,10]]}}}