{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T12:58:36Z","timestamp":1773320316631,"version":"3.50.1"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2009,2,3]],"date-time":"2009-02-03T00:00:00Z","timestamp":1233619200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2009,3]]},"DOI":"10.1007\/s11083-009-9108-x","type":"journal-article","created":{"date-parts":[[2009,2,2]],"date-time":"2009-02-02T06:16:12Z","timestamp":1233555372000},"page":"69-94","source":"Crossref","is-referenced-by-count":9,"title":["Choice Functions and Extensive Operators"],"prefix":"10.1007","volume":"26","author":[{"given":"V.","family":"Danilov","sequence":"first","affiliation":[]},{"given":"G.","family":"Koshevoy","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,2,3]]},"reference":[{"key":"9108_CR1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-6666-3","volume-title":"Combinatorial Theory","author":"M. Aigner","year":"1979","unstructured":"Aigner, M.: Combinatorial Theory. Springer, Berlin (1979)"},{"key":"9108_CR2","volume-title":"Theory of Choice","author":"M.A. Aizerman","year":"1995","unstructured":"Aizerman, M.A., Aleskerov, F.T.: Theory of Choice. North Holland, Amsterdam (1995)"},{"issue":"3","key":"9108_CR3","first-page":"11","volume":"38","author":"M.A. Aizerman","year":"1977","unstructured":"Aizerman, M.A., Zavalishin, N.V., Pyatnitsky, Ye.S.: Global functions of sets in the theory of alternative selection. Avtom. Telemeh. 38(3), 11\u2013125 (1977)","journal-title":"Avtom. Telemeh."},{"key":"9108_CR4","doi-asserted-by":"crossref","first-page":"3181","DOI":"10.1016\/j.disc.2006.04.034","volume":"303","author":"K. Ando","year":"2006","unstructured":"Ando, K.: Extreme point axioms for closure spaces. Discrete Math. 303, 3181\u20133188 (2006)","journal-title":"Discrete Math."},{"issue":"2","key":"9108_CR5","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/S0166-218X(02)00209-3","volume":"127","author":"N. Caspard","year":"2003","unstructured":"Caspard, N., Monjardet, B.: The lattice of closure systems, closure operators and implicational systems on a finite set: a survey. Discrete Appl. Math. 127(2), 241\u2013269 (2003)","journal-title":"Discrete Appl. Math."},{"key":"9108_CR6","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/j.mathsocsci.2004.09.001","volume":"49","author":"V. Danilov","year":"2005","unstructured":"Danilov, V., Koshevoy, G.: Mathematics of Plott choice functions. Math. Soc. Sci. 49, 245\u2013272 (2005)","journal-title":"Math. Soc. Sci."},{"issue":"Nr.3","key":"9108_CR7","first-page":"129","volume":"10","author":"J. Demetrovics","year":"1992","unstructured":"Demetrovics, J., Hencsey, G., Libkin, L., Muchnik, I.: On the interaction between closure operations and choice functions with applications to relational databases. Acta Cybern. 10(Nr.3), 129\u2013139 (1992)","journal-title":"Acta Cybern."},{"key":"9108_CR8","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.geb.2006.03.009","volume":"58","author":"F. Echenique","year":"2007","unstructured":"Echenique, F.: Counting combinatorial choice rules. Games Econ. Behav. 58, 231\u2013245 (2007)","journal-title":"Games Econ. Behav."},{"key":"9108_CR9","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1090\/conm\/057\/856235","volume":"57","author":"P.H. Edelman","year":"1986","unstructured":"Edelman, P.H.: Abstract convexity and meet-distribunive lattices. Contemp. Math. 57, 127\u2013149 (1986)","journal-title":"Contemp. Math."},{"key":"9108_CR10","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/S0165-4896(00)00076-7","volume":"42","author":"M.R. Johnson","year":"2001","unstructured":"Johnson, M.R., Dean, R.A.: Locally complete path independent choice functions and their lattices. Math. Soc. Sci. 42, 53\u201387 (2001)","journal-title":"Math. Soc. Sci."},{"key":"9108_CR11","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/S0165-4896(98)00044-4","volume":"38","author":"G.A. Koshevoy","year":"1999","unstructured":"Koshevoy, G.A.: Choice functions and abstract convex geometries. Math. Soc. Sci. 38, 35\u201344 (1999)","journal-title":"Math. Soc. Sci."},{"key":"9108_CR12","first-page":"145","volume":"9","author":"B.M. Litvakov","year":"1980","unstructured":"Litvakov, B.M.: Choice mechanisms using graph-multiple structures. Avtom. Telemeh. 9, 145\u2013152 (1980)","journal-title":"Avtom. Telemeh."},{"key":"9108_CR13","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/S0893-9659(01)00133-1","volume":"15","author":"B. Mirkin","year":"2002","unstructured":"Mirkin, B., Muchnik, I.: Induced layered clusters, hereditary mappings, and convex geometries. Appl. Math. Lett. 15, 293\u2013298 (2002)","journal-title":"Appl. Math. Lett."},{"key":"9108_CR14","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/s00355-003-0251-9","volume":"23","author":"B. Monjardet","year":"2004","unstructured":"Monjardet, B., Raderanirina, V.: Lattices of choice functions and consensus problems. Soc. Choice Welf. 23, 349\u2013382 (2004)","journal-title":"Soc. Choice Welf."},{"key":"9108_CR15","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF00437315","volume":"2","author":"H. Moulin","year":"1985","unstructured":"Moulin, H.: Choice functions over a finite sets: a summery. Soc. Choice Welf. 2, 147-160 (1985)","journal-title":"Soc. Choice Welf."},{"key":"9108_CR16","first-page":"1562","volume":"51","author":"I. Muchnik","year":"1990","unstructured":"Muchnik, I., Shwartser, L.: Maximization of generalized characteristic of functions of monotone systems. Avtom. Telemeh. 51, 1562\u20131572 (1990)","journal-title":"Avtom. Telemeh."},{"key":"9108_CR17","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1007\/s003550050075","volume":"14","author":"K. Nehring","year":"1997","unstructured":"Nehring, K.: Rational choice and revealed preference without binariness. Soc. Choice Welf. 14, 403\u2013425 (1997)","journal-title":"Soc. Choice Welf."}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-009-9108-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11083-009-9108-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-009-9108-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T01:12:12Z","timestamp":1559351532000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11083-009-9108-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,2,3]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,3]]}},"alternative-id":["9108"],"URL":"https:\/\/doi.org\/10.1007\/s11083-009-9108-x","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"value":"0167-8094","type":"print"},{"value":"1572-9273","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,2,3]]}}}