{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T18:10:33Z","timestamp":1773079833106,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":27,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783642228322","type":"print"},{"value":"9783642228339","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-22833-9_17","type":"book-chapter","created":{"date-parts":[[2011,8,5]],"date-time":"2011-08-05T09:50:34Z","timestamp":1312537834000},"page":"143-150","source":"Crossref","is-referenced-by-count":5,"title":["Fuzzy Stochastic Integral Equations Driven by Martingales"],"prefix":"10.1007","author":[{"given":"Marek T.","family":"Malinowski","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mariusz","family":"Michta","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"17_CR1","doi-asserted-by":"publisher","first-page":"3237","DOI":"10.1090\/S0002-9939-02-06429-8","volume":"130","author":"A. Colubi","year":"2002","unstructured":"Colubi, A., Dom\u00ednguez-Menchero, J.S., L\u00f3pez-D\u00edaz, M., Ralescu, D.A.: A D\n                \n                  E\n                [0,1] representation of random upper semicontinuous functions. Proc. Amer. Math. Soc.\u00a0130, 3237\u20133242 (2002)","journal-title":"Proc. Amer. Math. Soc."},{"key":"17_CR2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-9174-7","volume-title":"Introduction to Stochastic Integration","author":"K.L. Chung","year":"1983","unstructured":"Chung, K.L., Williams, R.J.: Introduction to Stochastic Integration. Birkh\u00e4user, Boston (1983)"},{"key":"17_CR3","doi-asserted-by":"publisher","first-page":"4329","DOI":"10.1016\/j.ins.2007.03.004","volume":"177","author":"W. Fei","year":"2007","unstructured":"Fei, W.: Existence and uniqueness of solution for fuzzy random differential equations with non-Lipschitz coefficients. Inform. Sci.\u00a0177, 4329\u20134337 (2007)","journal-title":"Inform. Sci."},{"key":"17_CR4","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1016\/S0165-0114(98)00389-3","volume":"115","author":"Y. Feng","year":"2000","unstructured":"Feng, Y.: Fuzzy stochastic differential systems. Fuzzy Sets Syst.\u00a0115, 351\u2013363 (2000)","journal-title":"Fuzzy Sets Syst."},{"key":"17_CR5","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1081\/SAP-120019292","volume":"21","author":"E.J. Jung","year":"2003","unstructured":"Jung, E.J., Kim, J.H.: On set-valued stochastic integrals. Stoch. Anal. Appl.\u00a021, 401\u2013418 (2003)","journal-title":"Stoch. Anal. Appl."},{"key":"17_CR6","doi-asserted-by":"publisher","first-page":"153","DOI":"10.4134\/JKMS.2005.42.1.153","volume":"42","author":"J.H. Kim","year":"2005","unstructured":"Kim, J.H.: On fuzzy stochastic differential equations. J. Korean Math. Soc.\u00a042, 153\u2013169 (2005)","journal-title":"J. Korean Math. Soc."},{"key":"17_CR7","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1155\/S1048953393000188","volume":"6","author":"M. Kisielewicz","year":"1993","unstructured":"Kisielewicz, M.: Properties of solution set of stochastic inclusions. J. Appl. Math. Stochastic Anal.\u00a06, 217\u2013236 (1993)","journal-title":"J. Appl. Math. Stochastic Anal."},{"key":"17_CR8","first-page":"53","volume":"3","author":"J. Li","year":"2009","unstructured":"Li, J., Li, S.: Ito type set-valued stochastic differential equation. J. Uncertain Syst.\u00a03, 53\u201363 (2009)","journal-title":"J. Uncertain Syst."},{"key":"17_CR9","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1016\/j.jmaa.2010.04.040","volume":"370","author":"S.. Li","year":"2010","unstructured":"Li, S., Li, J., Li, X.: Stochastic integral with respect to set-valued square integrable martingales. J. Math. Anal. Appl.\u00a0370, 659\u2013671 (2010)","journal-title":"J. Math. Anal. Appl."},{"key":"17_CR10","doi-asserted-by":"publisher","first-page":"1739","DOI":"10.1007\/s10114-010-8298-x","volume":"26","author":"J. Li","year":"2010","unstructured":"Li, J., Li, J., Li, S., Ogura, Y.: Strong solutions of It\u00f4 type set-valued stochastic differential equations. Acta Math. Sinica Engl. Ser.\u00a026, 1739\u20131748 (2010)","journal-title":". Acta Math. Sinica Engl. Ser."},{"key":"17_CR11","doi-asserted-by":"publisher","first-page":"949","DOI":"10.1016\/j.fss.2006.12.004","volume":"158","author":"S.. Li","year":"2007","unstructured":"Li, S., Ren, A.: Representation theorems, set-valued and fuzzy set-valued Ito integral. Fuzzy Sets Syst.\u00a0158, 949\u2013962 (2007)","journal-title":"Fuzzy Sets Syst."},{"key":"17_CR12","doi-asserted-by":"publisher","first-page":"3152","DOI":"10.1016\/j.fss.2009.02.003","volume":"160","author":"M.T. Malinowski","year":"2009","unstructured":"Malinowski, M.T.: On random fuzzy differential equations. Fuzzy Sets Syst.\u00a0160, 3152\u20133165 (2009)","journal-title":"Fuzzy Sets Syst."},{"key":"17_CR13","doi-asserted-by":"publisher","first-page":"1515","DOI":"10.1016\/j.na.2010.04.049","volume":"73","author":"M.T. Malinowski","year":"2010","unstructured":"Malinowski, M.T.: Existence theorems for solutions to random fuzzy differential equations. Nonlinear Anal. TMA\u00a073, 1515\u20131532 (2010)","journal-title":"Nonlinear Anal. TMA"},{"key":"17_CR14","doi-asserted-by":"publisher","first-page":"1247","DOI":"10.1016\/j.na.2009.08.015","volume":"72","author":"M.T. Malinowski","year":"2010","unstructured":"Malinowski, M.T., Michta, M.: Stochastic set differential equations. Nonlinear Anal. TMA\u00a072, 1247\u20131256 (2010)","journal-title":"Nonlinear Anal. TMA"},{"key":"17_CR15","first-page":"473","volume":"19","author":"M.T. Malinowski","year":"2010","unstructured":"Malinowski, M.T., Michta, M.: Fuzzy stochastic integral equations. Dynam. Systems Appl.\u00a019, 473\u2013494 (2010)","journal-title":"Dynam. Systems Appl."},{"key":"17_CR16","first-page":"123","volume":"47","author":"M.T. Malinowski","year":"2011","unstructured":"Malinowski, M.T., Michta, M.: Stochastic fuzzy differential equations with an application. Kybernetika\u00a047, 123\u2013143 (2011)","journal-title":"Kybernetika"},{"key":"17_CR17","unstructured":"Malinowski, M.T., Michta, M.: Set-valued stochastic integral equations driven by martingales (Preprint)"},{"key":"17_CR18","doi-asserted-by":"publisher","first-page":"847","DOI":"10.1081\/SAP-120006111","volume":"20","author":"M. Michta","year":"2002","unstructured":"Michta, M.: Stochastic inclusions with multivalued integrators. Stoch. Anal. Appl.\u00a020, 847\u2013862 (2002)","journal-title":"Stoch. Anal. Appl."},{"key":"17_CR19","first-page":"323","volume":"14","author":"M. Michta","year":"2005","unstructured":"Michta, M., Motyl, J.: Weak solutions to stochastic inclusions with multivalued integrator. Dynam. Systems Appl.\u00a014, 323\u2013334 (2005)","journal-title":"Dynam. Systems Appl."},{"key":"17_CR20","unstructured":"Michta, M.: On set-valued stochastic integrals and fuzzy stochastic equations. Fuzzy Sets Syst. (2011), doi:10.1016\/j.fss.2011.01.07"},{"key":"17_CR21","first-page":"215","volume":"4","author":"I. Mitoma","year":"2010","unstructured":"Mitoma, I., Okazaki, Y., Zhang, J.: Set-valued stochastic differential equation in M-type 2 Banach space. Comm. Stoch. Anal.\u00a04, 215\u2013237 (2010)","journal-title":"Comm. Stoch. Anal."},{"key":"17_CR22","unstructured":"Ogura, Y.: On stochastic differential equations with set coefficients and the Black & Scholes model. In: Proceedings of the 8th International Conference on Intellgent Technologies (2007)"},{"key":"17_CR23","volume-title":"Soft Methods for Handling Variability and Imprecision, ASC 48","author":"Y. Ogura","year":"2008","unstructured":"Ogura, Y.: On stochastic differential equations with fuzzy set coefficients. In: Dubois, D., et al. (eds.) Soft Methods for Handling Variability and Imprecision, ASC 48. Springer, Berlin (2008)"},{"key":"17_CR24","doi-asserted-by":"publisher","first-page":"552","DOI":"10.1016\/0022-247X(83)90169-5","volume":"91","author":"M.L. Puri","year":"1983","unstructured":"Puri, M.L., Ralescu, D.A.: Fuzzy random variables. J. Math. Anal. Appl.\u00a091, 552\u2013558 (1983)","journal-title":"J. Math. Anal. Appl."},{"key":"17_CR25","volume-title":"Soft Methods for Handling Variability and Imprecision","author":"J. Zhang","year":"2008","unstructured":"Zhang, J.: Set-valued stochastic integrals with respect to a real valued martingale. In: Dubois, D., et al. (eds.) Soft Methods for Handling Variability and Imprecision. Springer, Berlin (2008)"},{"key":"17_CR26","doi-asserted-by":"publisher","first-page":"216","DOI":"10.1016\/j.jmaa.2008.09.017","volume":"350","author":"J. Zhang","year":"2009","unstructured":"Zhang, J., Li, S., Mitoma, I., Okazaki, Y.: On set-valued stochastic integrals in an M-type 2 Banach space. J. Math. Anal. Appl.\u00a0350, 216\u2013233 (2009)","journal-title":"J. Math. Anal. Appl."},{"key":"17_CR27","doi-asserted-by":"publisher","first-page":"417","DOI":"10.2748\/tmj\/1255700202","volume":"61","author":"J. Zhang","year":"2009","unstructured":"Zhang, J., Li, S., Mitoma, I., Okazaki, Y.: On the solutions of set-valued stochastic differential equations in M-type 2 Banach spaces. Tohoku Math. J.\u00a061, 417\u2013440 (2009)","journal-title":"Tohoku Math. J."}],"container-title":["Advances in Intelligent and Soft Computing","Nonlinear Mathematics for Uncertainty and its Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-22833-9_17.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,3]],"date-time":"2021-05-03T11:37:16Z","timestamp":1620041836000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-22833-9_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642228322","9783642228339"],"references-count":27,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-22833-9_17","relation":{},"ISSN":["1867-5662","1867-5670"],"issn-type":[{"value":"1867-5662","type":"print"},{"value":"1867-5670","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011]]}}}