{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T04:05:49Z","timestamp":1759032349471},"publisher-location":"Cham","reference-count":12,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319456553"},{"type":"electronic","value":"9783319456560"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"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":[[2016]]},"DOI":"10.1007\/978-3-319-45656-0_4","type":"book-chapter","created":{"date-parts":[[2016,9,7]],"date-time":"2016-09-07T13:56:45Z","timestamp":1473256605000},"page":"47-55","source":"Crossref","is-referenced-by-count":1,"title":["On k\u2013additive Aggregation Functions"],"prefix":"10.1007","author":[{"given":"Anna","family":"Koles\u00e1rov\u00e1","sequence":"first","affiliation":[]},{"given":"Jun","family":"Li","sequence":"additional","affiliation":[]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,9,8]]},"reference":[{"key":"4_CR1","volume-title":"Aggregation Functions: A Guide for Practitioners","author":"G Beliakov","year":"2007","unstructured":"Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. Springer, Heidelberg (2007)"},{"key":"4_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-24753-3","volume-title":"A Practical Guide to Averaging Functions","author":"G Beliakov","year":"2016","unstructured":"Beliakov, G., Bustince, H., Calvo, T.: A Practical Guide to Averaging Functions. Springer, Heidelberg (2016)"},{"key":"4_CR3","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0165-4896(89)90056-5","volume":"17","author":"A Chateauneuf","year":"1989","unstructured":"Chateauneuf, A., Jaffray, J.Y.: Some characterizations of lower probabilities and other monotone capacities through the use of M\u00f6bius inversion. Math. Soc. Sci. 17, 263\u2013283 (1989)","journal-title":"Math. Soc. Sci."},{"key":"4_CR4","doi-asserted-by":"crossref","first-page":"131","DOI":"10.5802\/aif.53","volume":"5","author":"G Choquet","year":"1953","unstructured":"Choquet, G.: Theory of capacities. Ann. Inst. Fourier 5, 131\u2013295 (1953)","journal-title":"Ann. Inst. Fourier"},{"key":"4_CR5","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/S0165-0114(97)00168-1","volume":"92","author":"M Grabisch","year":"1997","unstructured":"Grabisch, M.: $$k$$ -order additive discrete fuzzy measures and their representation. Fuzzy Sets Syst. 92, 167\u2013189 (1997)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR6","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139644150","volume-title":"Aggregation Functions","author":"M Grabisch","year":"2009","unstructured":"Grabisch, M., Marichal, J.-L., Mesiar, R., Pap, E.: Aggregation Functions. Cambridge University Press, Cambridge (2009)"},{"key":"4_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2011.11.003","volume":"194","author":"A Koles\u00e1rov\u00e1","year":"2012","unstructured":"Koles\u00e1rov\u00e1, A., Stup\u0148anov\u00e1, A., Beganov\u00e1, J.: Aggregation-based extensions of fuzzy measures. Fuzzy Sets Syst. 194, 1\u201314 (2012)","journal-title":"Fuzzy Sets Syst."},{"key":"4_CR8","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/978-3-642-68874-4_10","volume-title":"Mathematical Programming: The state of the art","author":"L Lov\u00e1sz","year":"1983","unstructured":"Lov\u00e1sz, L.: Submodular function and convexity. In: Bachem, A., Korte, B., Gr\u00f6tschel, M. (eds.) Mathematical Programming: The state of the art, pp. 235\u2013257. Springer, Berlin (1983)"},{"key":"4_CR9","doi-asserted-by":"crossref","unstructured":"Marichal, J.-L.: Aggregation of interacting criteria by means of the discrete Choquet integral. In: Calvo, T., Mayor, G., Mesiar, R. (eds.) Aggregation Operators. New Trends and Applications, pp. 224\u201324. Physica-Verlag, Heidelberg (2002)","DOI":"10.1007\/978-3-7908-1787-4_7"},{"key":"4_CR10","doi-asserted-by":"crossref","unstructured":"Owen, G.: Multilinear extensions of games. In: Shapley, S., Roth, A.E. (eds.) The Shapley value. Essays in Honour of Lloyd, pp. 139\u2013151. Cambridge University Press, Cambridge (1988)","DOI":"10.1017\/CBO9780511528446.011"},{"key":"4_CR11","unstructured":"Val\u00e1\u0161kov\u00e1, L.: A note to the 2-order additivity. In: Proceedings of MAGIA, Ko\u010dovce, pp. 53\u201355 (2001)"},{"key":"4_CR12","unstructured":"Val\u00e1\u0161kov\u00e1, L.: Non-additive measures and integrals. Ph.D. thesis, STU Bratislava, (2007)"}],"container-title":["Lecture Notes in Computer Science","Modeling Decisions for Artificial Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-45656-0_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T22:09:10Z","timestamp":1498342150000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-45656-0_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319456553","9783319456560"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-45656-0_4","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]}}}