{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T04:59:41Z","timestamp":1743137981088,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642221514"},{"type":"electronic","value":"9783642221521"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-22152-1_46","type":"book-chapter","created":{"date-parts":[[2011,6,25]],"date-time":"2011-06-25T19:22:00Z","timestamp":1309029720000},"page":"545-556","source":"Crossref","is-referenced-by-count":0,"title":["Pseudo-polynomial Functions over Finite Distributive Lattices"],"prefix":"10.1007","author":[{"given":"Miguel","family":"Couceiro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tam\u00e1s","family":"Waldhauser","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"46_CR1","doi-asserted-by":"publisher","first-page":"441","DOI":"10.1017\/S0305004100011464","volume":"29","author":"G. Birkhoff","year":"1933","unstructured":"Birkhoff, G.: On the combination of subalgebras. Proc. Camb. Phil. Soc.\u00a029, 441\u2013464 (1933)","journal-title":"Proc. Camb. Phil. Soc."},{"key":"46_CR2","doi-asserted-by":"crossref","unstructured":"Bouyssou, D., Dubois, D., Prade, H., Pirlot, M. (eds.): Decision-Making Process \u2013 Concepts and Methods. ISTE\/John Wiley (2009)","DOI":"10.1002\/9780470611876"},{"issue":"1","key":"46_CR3","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/s00010-009-2969-7","volume":"396","author":"M. Couceiro","year":"2009","unstructured":"Couceiro, M., Marichal, J.-L.: Axiomatizations of quasi-polynomial functions on bounded chains. Aequationes Mathematicae\u00a0396(1), 195\u2013213 (2009)","journal-title":"Aequationes Mathematicae"},{"issue":"3","key":"46_CR4","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/s00010-010-0039-9","volume":"80","author":"M. Couceiro","year":"2010","unstructured":"Couceiro, M., Marichal, J.-L.: Axiomatizations of quasi-polynomial functions over bounded distributive lattices. Aequationes Mathematicae\u00a080(3), 319\u2013334 (2010)","journal-title":"Aequationes Mathematicae"},{"issue":"5","key":"46_CR5","doi-asserted-by":"publisher","first-page":"694","DOI":"10.1016\/j.fss.2009.10.008","volume":"161","author":"M. Couceiro","year":"2010","unstructured":"Couceiro, M., Marichal, J.-L.: Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices. Fuzzy Sets and Systems\u00a0161(5), 694\u2013707 (2010)","journal-title":"Fuzzy Sets and Systems"},{"key":"46_CR6","series-title":"LNAI","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/978-3-642-16292-3_10","volume-title":"Modeling Decisions for Artificial Intelligence","author":"M. Couceiro","year":"2010","unstructured":"Couceiro, M., Waldhauser, T.: Sugeno utility functions I: Axiomatizations. In: Torra, V., Narukawa, Y., Daumas, M. (eds.) MDAI 2010. LNCS (LNAI), vol.\u00a06408, pp. 79\u201390. Springer, Heidelberg (2010)"},{"key":"46_CR7","series-title":"LNAI","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/978-3-642-16292-3_11","volume-title":"Modeling Decisions for Artificial Intelligence","author":"M. Couceiro","year":"2010","unstructured":"Couceiro, M., Waldhauser, T.: Sugeno utility functions II: Factorizations. In: Torra, V., Narukawa, Y., Daumas, M. (eds.) MDAI 2010. LNCS (LNAI), vol.\u00a06408, pp. 91\u2013103. Springer, Heidelberg (2010)"},{"key":"46_CR8","unstructured":"Couceiro, M., Waldhauser, T.: Axiomatizations and factorizations of Sugeno utility functions. Submitted to International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, http:\/\/arxiv.org\/abs\/1101.4962"},{"key":"46_CR9","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511809088","volume-title":"Introduction to Lattices and Order","author":"B.A. Davey","year":"2002","unstructured":"Davey, B.A., Priestley, H.A.: Introduction to Lattices and Order. Cambridge University Press, New York (2002)"},{"key":"46_CR10","first-page":"231","volume":"67","author":"R.L. Goodstein","year":"1967","unstructured":"Goodstein, R.L.: The solution of equations in a lattice. Proc. Roy. Soc. Edinburgh Section A\u00a067, 231\u2013242 (1967)","journal-title":"Proc. Roy. Soc. Edinburgh Section A"},{"key":"46_CR11","volume-title":"Encyclopedia of Mathematics and its Applications","author":"M. Grabisch","year":"2009","unstructured":"Grabisch, M., Marichal, J.-L., Mesiar, R., Pap, E.: Aggregation Functions. In: Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge (2009)"},{"key":"46_CR12","volume-title":"General Lattice Theory","author":"G. Gr\u00e4tzer","year":"2003","unstructured":"Gr\u00e4tzer, G.: General Lattice Theory. Birkh\u00e4user, Basel (2003)"},{"issue":"4","key":"46_CR13","doi-asserted-by":"publisher","first-page":"814","DOI":"10.1016\/j.disc.2008.01.019","volume":"309","author":"J.-L. Marichal","year":"2009","unstructured":"Marichal, J.-L.: Weighted lattice polynomials. Discrete Mathematics\u00a0309(4), 814\u2013820 (2009)","journal-title":"Discrete Mathematics"},{"key":"46_CR14","unstructured":"Sugeno, M.: Theory of Fuzzy Integrals and its Applications. PhD thesis, Tokyo Institute of Technology, Tokyo (1974)"},{"key":"46_CR15","first-page":"89","volume-title":"Fuzzy Automata and Decision Processes","author":"M. Sugeno","year":"1977","unstructured":"Sugeno, M.: Fuzzy measures and fuzzy integrals \u2013 a survey. In: Gupta, M.M., Saridis, G.N., Gaines, B.R. (eds.) Fuzzy Automata and Decision Processes, pp. 89\u2013102. North-Holland, New York (1977)"}],"container-title":["Lecture Notes in Computer Science","Symbolic and Quantitative Approaches to Reasoning with Uncertainty"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-22152-1_46","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,12]],"date-time":"2019-06-12T06:13:50Z","timestamp":1560320030000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-22152-1_46"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642221514","9783642221521"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-22152-1_46","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}