{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,4]],"date-time":"2026-04-04T00:08:52Z","timestamp":1775261332824,"version":"3.50.1"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"15","license":[{"start":{"date-parts":[[2018,11,1]],"date-time":"2018-11-01T00:00:00Z","timestamp":1541030400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1007\/s00500-018-3605-z","type":"journal-article","created":{"date-parts":[[2018,11,1]],"date-time":"2018-11-01T11:18:21Z","timestamp":1541071101000},"page":"6043-6050","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the generalized k-order additivity for absolutely monotone set functions"],"prefix":"10.1007","volume":"23","author":[{"given":"Biljana","family":"Mihailovi\u0107","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Martin","family":"Kalina","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mirjana","family":"\u0160trboja","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,11,1]]},"reference":[{"key":"3605_CR1","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/j.fss.2017.06.005","volume":"343","author":"Q Brabant","year":"2018","unstructured":"Brabant Q, Couceiro M (2018) $$k$$ k -maxitive Sugeno integrals as aggregation models for ordinal preferences. Fuzzy Sets Syst 343:65\u201375","journal-title":"Fuzzy Sets Syst"},{"key":"3605_CR2","doi-asserted-by":"publisher","first-page":"263","DOI":"10.1016\/0165-4896(89)90056-5","volume":"17","author":"A Chateauneuf","year":"1989","unstructured":"Chateauneuf A, Jaffray JY (1989) Some characterizations of lower probabilities and other monotone capacities through the use of M\u00f6bius inversion. Math Soc Sci 17:263\u2013283","journal-title":"Math Soc Sci"},{"key":"3605_CR3","doi-asserted-by":"publisher","first-page":"131","DOI":"10.5802\/aif.53","volume":"5","author":"G Choquet","year":"1954","unstructured":"Choquet G (1954) Theory of capacities. Ann Inst Fourier 5:131\u2013295","journal-title":"Ann Inst Fourier"},{"key":"3605_CR4","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1007\/BF02032160","volume":"52","author":"I Gilboa","year":"1994","unstructured":"Gilboa I, Schmeidler D (1994) Additive representation of non-additive measures and the Choquet integral. Ann Oper Res 52:43\u201365","journal-title":"Ann Oper Res"},{"key":"3605_CR5","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1016\/S0165-0114(97)00168-1","volume":"92","author":"M Grabisch","year":"1997","unstructured":"Grabisch M (1997) $$k$$ k -order additive discrete fuzzy measures and their representation. Fuzzy Sets Syst 92:167\u2013189","journal-title":"Fuzzy Sets Syst"},{"key":"3605_CR6","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1016\/S0165-0114(02)00499-2","volume":"139","author":"M Grabisch","year":"2003","unstructured":"Grabisch M (2003) The symmetric Sugeno integral. Fuzzy Sets Syst 139:473\u2013490","journal-title":"Fuzzy Sets Syst"},{"key":"3605_CR7","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139644150","volume-title":"Aggregation functions. Encyclopedia of mathematics and its applications","author":"M Grabisch","year":"2009","unstructured":"Grabisch M, Marichal JL, Mesiar R, Pap E (2009) Aggregation functions. Encyclopedia of mathematics and its applications, vol 127. Cambridge University Press, Cambridge"},{"key":"3605_CR8","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1006\/jmaa.1995.1312","volume":"194","author":"R Mesiar","year":"1995","unstructured":"Mesiar R (1995) Choquet-like integrals. J Math Anal Appl 194:477\u2013488","journal-title":"J Math Anal Appl"},{"key":"3605_CR9","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1016\/S0165-0114(98)00216-4","volume":"102","author":"R Mesiar","year":"1999","unstructured":"Mesiar R (1999a) Generalizations of $$k$$ k -order additive discrete fuzzy measures. Fuzzy Sets Syst. 102:423\u2013428","journal-title":"Fuzzy Sets Syst."},{"key":"3605_CR10","first-page":"561","volume":"194","author":"R Mesiar","year":"1999","unstructured":"Mesiar R (1999b) $$k$$ k -order additive fuzzy measures. J Math Anal Appl 194:561\u2013568","journal-title":"J Math Anal Appl"},{"key":"3605_CR11","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1016\/j.fss.2017.12.016","volume":"346","author":"R Mesiar","year":"2018","unstructured":"Mesiar R, Koles\u00e1rov\u00e1 A (2018) $$k$$ k -maxitive aggregation functions. Fuzzy Sets Syst 346:127\u2013137","journal-title":"Fuzzy Sets Syst"},{"key":"3605_CR12","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1016\/S0165-0114(98)00213-9","volume":"102","author":"R Mesiar","year":"1999","unstructured":"Mesiar R, Pap E (1999) Idempotent integral as limit of $$g$$ g -integrals. Fuzzy Sets Syst 102:385\u2013392","journal-title":"Fuzzy Sets Syst"},{"key":"3605_CR13","doi-asserted-by":"publisher","first-page":"2857","DOI":"10.1016\/j.fss.2010.03.004","volume":"161","author":"B Mihailovi\u0107","year":"2010","unstructured":"Mihailovi\u0107 B, Pap E (2010) Sugeno integral based on absolutely monotone real set functions. Fuzzy Sets Syst 161:2857\u20132869","journal-title":"Fuzzy Sets Syst"},{"key":"3605_CR14","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.fss.2011.05.007","volume":"181","author":"B Mihailovi\u0107","year":"2011","unstructured":"Mihailovi\u0107 B, Pap E (2011) Asymmetric integral as a limit of generated Choquet integrals based on absolutely monotone real set functions. Fuzzy Sets Syst 181:39\u201349","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"3605_CR15","first-page":"29","volume":"77","author":"B Mihailovi\u0107","year":"2015","unstructured":"Mihailovi\u0107 B, Manzi M, Dapi\u0107 P (2015) The Shilkret-like integral on the symmetric interval. UPB Sci Bul Ser A: Appl Math Phys 77(3):29\u201340","journal-title":"UPB Sci Bul Ser A: Appl Math Phys"},{"key":"3605_CR16","volume-title":"Null-additive set functions","author":"E Pap","year":"1995","unstructured":"Pap E (1995) Null-additive set functions. Kluwer Academic Publishers, Dordrecht"},{"key":"3605_CR17","volume-title":"Handbook of measure theory","year":"2002","unstructured":"Pap E (ed) (2002) Handbook of measure theory, vol II. Elsevier, Amsterdam"},{"key":"3605_CR18","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1007\/BF00531932","volume":"2","author":"GC Rota","year":"1964","unstructured":"Rota GC (1964) Theory of M\u00f6bius functions. Z Wahrscheinlichkeitstheorie Verwandte Geb 2:340\u2013368","journal-title":"Z Wahrscheinlichkeitstheorie Verwandte Geb"},{"key":"3605_CR19","doi-asserted-by":"crossref","DOI":"10.1515\/9780691214696","volume-title":"A mathematical theory of evidence","author":"G Shafer","year":"1976","unstructured":"Shafer G (1976) A mathematical theory of evidence. Princeton University Press, Princeton"},{"key":"3605_CR20","volume-title":"Contribution to the theory of games II","author":"LS Shapley","year":"1953","unstructured":"Shapley LS (1953) A value of $$n$$ n -person games. In: Kuhn M, Tucker EW (eds) Contribution to the theory of games II. Princeton University Press, Princeton"},{"key":"3605_CR21","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/0022-247X(87)90354-4","volume":"122","author":"M Sugeno","year":"1987","unstructured":"Sugeno M, Murofushi T (1987) Pseudo-additive measures and integrals. J Math Anal Appl 122:197\u2013222","journal-title":"J Math Anal Appl"},{"key":"3605_CR22","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1016\/j.ins.2018.07.075","volume":"468","author":"M \u0160trboja","year":"2018","unstructured":"\u0160trboja M, Pap E, Mihailovi\u0107 B (2018) Discrete bipolar pseudo-integrals. Inf Sci 468:72\u201388","journal-title":"Inf Sci"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3605-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-018-3605-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3605-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T22:54:25Z","timestamp":1775256865000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-018-3605-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,1]]},"references-count":22,"journal-issue":{"issue":"15","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["3605"],"URL":"https:\/\/doi.org\/10.1007\/s00500-018-3605-z","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,11,1]]},"assertion":[{"value":"1 November 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}