{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T07:08:51Z","timestamp":1768460931007,"version":"3.49.0"},"publisher-location":"Cham","reference-count":14,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319181608","type":"print"},{"value":"9783319181615","type":"electronic"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-18161-5_42","type":"book-chapter","created":{"date-parts":[[2015,4,30]],"date-time":"2015-04-30T08:51:26Z","timestamp":1430383886000},"page":"491-503","source":"Crossref","is-referenced-by-count":7,"title":["Characterization of Set Relations by Means of a Nonlinear Scalarization Functional"],"prefix":"10.1007","author":[{"given":"Elisabeth","family":"K\u00f6bis","sequence":"first","affiliation":[]},{"given":"Christiane","family":"Tammer","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"42_CR1","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1007\/BF00940478","volume":"67","author":"C. Gerth (Tammer)","year":"1990","unstructured":"Gerth (Tammer), C., Weidner, P.: Nonconvex separation theorems and some applications in vector optimization. J. Optim. Theory Appl.\u00a067, 297\u2013320 (1990)","journal-title":"J. Optim. Theory Appl."},{"key":"42_CR2","volume-title":"Variational Methods in Partially Ordered Spaces","author":"A. G\u00f6pfert","year":"2003","unstructured":"G\u00f6pfert, A., Riahi, H., Tammer, C., Z\u0103linescu, C.: Variational Methods in Partially Ordered Spaces. Springer, New York (2003)"},{"issue":"1","key":"42_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jmaa.2006.01.033","volume":"325","author":"E. Hern\u00e1ndez","year":"2007","unstructured":"Hern\u00e1ndez, E., Rodr\u00edguez-Mar\u00edn, L.: Nonconvex scalarization in set optimization with set-valued maps. J. Math. Anal. Appl.\u00a0325(1), 1\u201318 (2007)","journal-title":"J. Math. Anal. Appl."},{"key":"42_CR4","first-page":"3","volume-title":"Multicriteria Decision Making and Fuzzy Systems. Theory, Methods and Applications","author":"F. Heyde","year":"2006","unstructured":"Heyde, F.: Coherent risk measures and vector optimization. In: K\u00fcfer, K.-H., et al. (eds.) Multicriteria Decision Making and Fuzzy Systems. Theory, Methods and Applications, pp. 3\u201312. Shaker Verlag, Aachen (2006)"},{"key":"42_CR5","doi-asserted-by":"crossref","unstructured":"Ide, J., K\u00f6bis, E., Kuroiwa, D., Sch\u00f6bel, A., Tammer, C.: The relationship between multi-objective robustness concepts and set-valued optimization. Fixed Point Theory Appl.\u00a083 (2014)","DOI":"10.1186\/1687-1812-2014-83"},{"key":"42_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-17005-8","volume-title":"Vector Optimization - Introduction, Theory, and Extensions","author":"J. Jahn","year":"2011","unstructured":"Jahn, J.: Vector Optimization - Introduction, Theory, and Extensions, 2nd edn. Springer, Heidelberg (2011)","edition":"2"},{"key":"42_CR7","doi-asserted-by":"crossref","unstructured":"Jahn, J.: Vectorization in set optimization. J. Optim. Theory Appl., 1\u201313 (2013)","DOI":"10.1007\/s10957-013-0363-z"},{"key":"42_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-54265-7","volume-title":"Set-Valued Optimization \u2013 An Introduction with Applications","author":"A.A. Khan","year":"2015","unstructured":"Khan, A.A., Tammer, C., Z\u0103linescu, C.: Set-Valued Optimization \u2013 An Introduction with Applications. Springer, Berlin (2015)"},{"key":"42_CR9","unstructured":"Kuroiwa, D.: Some duality theorems of set-valued optimization with natural criteria. In: Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis, pp. 221\u2013228. World Scientific (1999)"},{"key":"42_CR10","unstructured":"Kuroiwa, D.: The natural criteria in set-valued optimization. S\u016brikaisekikenky\u016bsho K\u014dky\u016broku\u00a0(1031), 85\u201390 (1997), Research on nonlinear analysis and convex analysis, Kyoto"},{"issue":"3","key":"42_CR11","first-page":"489","volume":"114","author":"Z.G. Nishnianidze","year":"1984","unstructured":"Nishnianidze, Z.G.: Fixed points of monotone multivalued operators. Soobshch. Akad. Nauk Gruzin. SSR\u00a0114(3), 489\u2013491 (1984)","journal-title":"Soobshch. Akad. Nauk Gruzin. SSR"},{"key":"42_CR12","unstructured":"Weidner, P.: Ein Trennungskonzept und seine Anwendung auf Vektoroptimierungsverfahren. Martin-Luther-Universit\u00e4t Halle-Wittenberg (Dissertation B) (1990)"},{"issue":"1","key":"42_CR13","doi-asserted-by":"publisher","first-page":"260","DOI":"10.1007\/BF01457934","volume":"104","author":"R.C. Young","year":"1931","unstructured":"Young, R.C.: The algebra of many-valued quantities. Math. Ann.\u00a0104(1), 260\u2013290 (1931)","journal-title":"Math. Ann."},{"key":"42_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5020-3","volume-title":"Nonlinear Functional Analysis and its Applications III","author":"E. Zeidler","year":"1985","unstructured":"Zeidler, E.: Nonlinear Functional Analysis and its Applications III. Springer, New York (1985)"}],"container-title":["Advances in Intelligent Systems and Computing","Modelling, Computation and Optimization in Information Systems and Management Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-18161-5_42","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,9]],"date-time":"2023-08-09T22:57:33Z","timestamp":1691621853000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-18161-5_42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319181608","9783319181615"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-18161-5_42","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"value":"2194-5357","type":"print"},{"value":"2194-5365","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}