{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T16:54:11Z","timestamp":1773766451247,"version":"3.50.1"},"publisher-location":"Cham","reference-count":18,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319456553","type":"print"},{"value":"9783319456560","type":"electronic"}],"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_9","type":"book-chapter","created":{"date-parts":[[2016,9,7]],"date-time":"2016-09-07T09:56:45Z","timestamp":1473242205000},"page":"107-113","source":"Crossref","is-referenced-by-count":2,"title":["An Equivalent Definition of Pan-Integral"],"prefix":"10.1007","author":[{"given":"Yao","family":"Ouyang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,9,8]]},"reference":[{"key":"9_CR1","doi-asserted-by":"crossref","first-page":"1329","DOI":"10.1016\/B978-044450263-6\/50034-8","volume-title":"Handbook of Measure Theory","author":"P Benvenuti","year":"2002","unstructured":"Benvenuti, P., Mesiar, R., Vivona, D.: Monotone set functions-based integrals. In: Pap, E. (ed.) Handbook of Measure Theory, vol. II, pp. 1329\u20131379. Elsevier, Amsterdam (2002)"},{"key":"9_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ins.2003.07.005","volume":"160","author":"P Benvenuti","year":"2004","unstructured":"Benvenuti, P., Mesiar, R.: Pseudo-arithmetical operations as a basis for the general measure and integration theory. Inf. Sci. 160, 1\u201311 (2004)","journal-title":"Inf. Sci."},{"key":"9_CR3","doi-asserted-by":"crossref","first-page":"131","DOI":"10.5802\/aif.53","volume":"5","author":"G Choquet","year":"1954","unstructured":"Choquet, G.: Theory of capacities. Ann. Inst. Fourier 5, 131\u2013295 (1954)","journal-title":"Ann. Inst. Fourier"},{"key":"9_CR4","series-title":"Studies in Fuzziness Soft Computing","volume-title":"Fuzzy Measures and Integrals: Theory and Applications","year":"2000","unstructured":"Grabisch, M., Murofushi, T., Sugeno, M. (eds.): Fuzzy Measures and Integrals: Theory and Applications. Studies in Fuzziness Soft Computing, vol. 40. Physica, Heidelberg (2000)"},{"key":"9_CR5","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1016\/0022-247X(88)90311-3","volume":"130","author":"H Ichihashi","year":"1988","unstructured":"Ichihashi, H., Tanaka, M., Asai, K.: Fuzzy integrals based on pseudo-additions and multiplications. J. Math. Anal. Appl. 130, 354\u2013364 (1988)","journal-title":"J. Math. Anal. Appl."},{"key":"9_CR6","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/s00199-007-0302-z","volume":"39","author":"E Lehrer","year":"2009","unstructured":"Lehrer, E.: A new integral for capacities. Econ. Theor. 39, 157\u2013176 (2009)","journal-title":"Econ. Theor."},{"key":"9_CR7","doi-asserted-by":"crossref","first-page":"2130","DOI":"10.1016\/j.fss.2007.11.018","volume":"159","author":"E Lehrer","year":"2008","unstructured":"Lehrer, E., Teper, R.: The concave integral over large spaces. Fuzzy Sets Syst. 159, 2130\u20132144 (2008)","journal-title":"Fuzzy Sets Syst."},{"key":"9_CR8","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1006\/jmaa.1995.1312","volume":"194","author":"R Mesiar","year":"1995","unstructured":"Mesiar, R.: Choquet-like integrals. J. Math. Anal. Appl. 194, 477\u2013488 (1995)","journal-title":"J. Math. Anal. Appl."},{"key":"9_CR9","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/0165-0114(94)00314-W","volume":"74","author":"R Mesiar","year":"1995","unstructured":"Mesiar, R., Ryb\u00e1rik, J.: Pan-operaions structure. Fuzzy Sets Syst. 74, 365\u2013369 (1995)","journal-title":"Fuzzy Sets Syst."},{"key":"9_CR10","volume-title":"Null-Additive Set Functions","author":"E Pap","year":"1995","unstructured":"Pap, E.: Null-Additive Set Functions. Kluwer, Dordrecht (1995)"},{"key":"9_CR11","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/S1385-7258(71)80017-3","volume":"33","author":"N Shilkret","year":"1971","unstructured":"Shilkret, N.: Maxitive measure and integration. Indag. Math. 33, 109\u2013116 (1971)","journal-title":"Indag. Math."},{"key":"9_CR12","unstructured":"Sugeno, M.: Theory of fuzzy integrals and its applications. Ph.D. dissertation, Takyo Institute of Technology (1974)"},{"key":"9_CR13","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/0022-247X(87)90354-4","volume":"122","author":"M Sugeno","year":"1987","unstructured":"Sugeno, M., Murofushi, T.: Pseudo-additive measures and integrals. J. Math. Anal. Appl. 122, 197\u2013222 (1987)","journal-title":"J. Math. Anal. Appl."},{"key":"9_CR14","doi-asserted-by":"crossref","first-page":"1318","DOI":"10.1016\/j.fss.2008.07.001","volume":"160","author":"R Teper","year":"2009","unstructured":"Teper, R.: On the continuity of the concave integral. Fuzzy Sets Syst. 160, 1318\u20131326 (2009)","journal-title":"Fuzzy Sets Syst."},{"key":"9_CR15","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1016\/S0165-0114(03)00328-2","volume":"145","author":"X Tong","year":"2004","unstructured":"Tong, X., Chen, M., Li, H.X.: Pan-operations structure with non-idempotent pan-addition. Fuzzy Sets Syst. 145, 463\u2013470 (2004)","journal-title":"Fuzzy Sets Syst."},{"key":"9_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-76852-6","volume-title":"Generalized Measure Theory","author":"Z Wang","year":"2009","unstructured":"Wang, Z., Klir, G.J.: Generalized Measure Theory. Springer, Berlin (2009)"},{"key":"9_CR17","first-page":"107","volume":"3","author":"Q Yang","year":"1985","unstructured":"Yang, Q.: The pan-integral on fuzzy measure space. Fuzzy Math. 3, 107\u2013114 (1985). (in Chinese)","journal-title":"Fuzzy Math."},{"key":"9_CR18","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.ijar.2010.10.002","volume":"52","author":"Q Zhang","year":"2011","unstructured":"Zhang, Q., Mesiar, R., Li, J., Struk, P.: Generalized Lebesgue integral. Int. J. Approx. Reason. 52, 427\u2013443 (2011)","journal-title":"Int. J. Approx. Reason."}],"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_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T18:09:10Z","timestamp":1498327750000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-45656-0_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319456553","9783319456560"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-45656-0_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016]]}}}