{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,27]],"date-time":"2025-11-27T20:50:48Z","timestamp":1764276648588},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2012,10,7]],"date-time":"2012-10-07T00:00:00Z","timestamp":1349568000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fuzzy Optim Decis Making"],"published-print":{"date-parts":[[2013,3]]},"DOI":"10.1007\/s10700-012-9147-4","type":"journal-article","created":{"date-parts":[[2012,10,6]],"date-time":"2012-10-06T07:06:05Z","timestamp":1349507165000},"page":"41-51","source":"Crossref","is-referenced-by-count":41,"title":["A necessary condition of optimality for uncertain optimal control problem"],"prefix":"10.1007","volume":"12","author":[{"given":"Xintong","family":"Ge","sequence":"first","affiliation":[]},{"given":"Yuanguo","family":"Zhu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,10,7]]},"reference":[{"issue":"3","key":"9147_CR1","doi-asserted-by":"crossref","first-page":"705","DOI":"10.1080\/07362990701283128","volume":"25","author":"F. Baghery","year":"2007","unstructured":"Baghery F., \u00d8ksendal B. (2007) A maximum principle for stochastic control with partial information. Stochastic Analysis and Applications 25(3): 705\u2013717","journal-title":"Stochastic Analysis and Applications"},{"issue":"1","key":"9147_CR2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1515\/1569397053300919","volume":"13","author":"S. Bahlali","year":"2005","unstructured":"Bahlali S., Chala A. (2005) The stochastic maximum principle in optimal control of singular diffusions with non linear coefficients. Random Operators and Stochastic Equations 13(1): 1\u201310","journal-title":"Random Operators and Stochastic Equations"},{"issue":"1","key":"9147_CR3","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1137\/1020004","volume":"20","author":"J. M. Bismut","year":"1978","unstructured":"Bismut J. M. (1978) An introductory approach to duality in optimal stochastic control. SIAM Review 20(1): 62\u201378","journal-title":"SIAM Review"},{"issue":"1","key":"9147_CR4","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s10700-010-9073-2","volume":"9","author":"X. Chen","year":"2010","unstructured":"Chen X., Liu B. (2010) Existence and uniqueness theorem for uncertain differential equations. Fuzzy Optimization and Decision Making 9(1): 69\u201381","journal-title":"Fuzzy Optimization and Decision Making"},{"issue":"1","key":"9147_CR5","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1515\/ROSE.2009.002","volume":"17","author":"F. Chighoub","year":"2009","unstructured":"Chighoub F., Djehiche B., Mezerdi B. (2009) The stochastic maximum principle in optimal control of degenerate diffusions with non-smooth coefficients. Random Operators and Stochastic Equations 17(1): 37\u201354","journal-title":"Random Operators and Stochastic Equations"},{"key":"9147_CR6","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1007\/BFb0120743","volume":"6","author":"U. G. Haussmann","year":"1976","unstructured":"Haussmann U. G. (1976) General necessary conditions for optimal control of stochastic system. Mathematical Programming Study 6: 30\u201348","journal-title":"Mathematical Programming Study"},{"key":"9147_CR7","first-page":"560","volume":"10","author":"H. J. Kusher","year":"1972","unstructured":"Kusher H. J. (1972) Necessary conditions for continuous parameter stochastic optimazation problems. SIAM Journal on Control 10: 560\u2013565","journal-title":"SIAM Journal on Control"},{"key":"9147_CR8","volume-title":"Uncertainty theory","author":"B. Liu","year":"2007","unstructured":"Liu B. (2007) Uncertainty theory (2nd ed.). Berlin: Springer.","edition":"2"},{"issue":"1","key":"9147_CR9","first-page":"3","volume":"2","author":"B. Liu","year":"2008","unstructured":"Liu B. (2008) Fuzzy process, hybrid process and uncertain process. Journal of Uncertain Systems 2(1): 3\u201316","journal-title":"Journal of Uncertain Systems"},{"issue":"1","key":"9147_CR10","first-page":"3","volume":"3","author":"B. Liu","year":"2009","unstructured":"Liu B. (2009) Some research problems in uncertainty theory. Journal of Uncertain Systems 3(1): 3\u201310","journal-title":"Journal of Uncertain Systems"},{"key":"9147_CR11","volume-title":"Uncertainty theory: A branch of mathematics for modeling human uncertainty","author":"B. Liu","year":"2011","unstructured":"Liu B. (2011) Uncertainty theory: A branch of mathematics for modeling human uncertainty. Springer, Berlin"},{"issue":"4","key":"9147_CR12","doi-asserted-by":"crossref","first-page":"966","DOI":"10.1137\/0328054","volume":"28","author":"S. Peng","year":"1990","unstructured":"Peng S. (1990) A general stochastic maximum principle for optimal control problems. SIAM Journal on Control and Optimization 28(4): 966\u2013979","journal-title":"SIAM Journal on Control and Optimization"},{"issue":"1","key":"9147_CR13","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/j.camwa.2010.04.030","volume":"60","author":"Y. Zhao","year":"2010","unstructured":"Zhao Y., Zhu Y. (2010) Fuzzy optimal control of linear quadratic models. Computers and Mathematics with Applications 60(1): 67\u201373","journal-title":"Computers and Mathematics with Applications"},{"issue":"4","key":"9147_CR14","first-page":"270","volume":"3","author":"Y. Zhu","year":"2009","unstructured":"Zhu Y. (2009) A fuzzy optimal control model. Journal of Uncertaint Systems 3(4): 270\u2013279","journal-title":"Journal of Uncertaint Systems"},{"issue":"7","key":"9147_CR15","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1080\/01969722.2010.511552","volume":"41","author":"Y. Zhu","year":"2010","unstructured":"Zhu Y. (2010) Uncertain optimal control with application to a portfolio selection model. Cybernetics and Systems 41(7): 535\u2013547","journal-title":"Cybernetics and Systems"},{"issue":"4","key":"9147_CR16","doi-asserted-by":"crossref","first-page":"964","DOI":"10.1109\/TSMCB.2010.2102015","volume":"41","author":"Y. Zhu","year":"2011","unstructured":"Zhu Y. (2011) Fuzzy optimal control for multistage fuzzy systems. IEEE Transactions on Systems, Man and Cybernetics-Part B: Cybernetics 41(4): 964\u2013975","journal-title":"IEEE Transactions on Systems, Man and Cybernetics-Part B: Cybernetics"}],"container-title":["Fuzzy Optimization and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-012-9147-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10700-012-9147-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-012-9147-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T22:01:17Z","timestamp":1559253677000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10700-012-9147-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10,7]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2013,3]]}},"alternative-id":["9147"],"URL":"https:\/\/doi.org\/10.1007\/s10700-012-9147-4","relation":{},"ISSN":["1568-4539","1573-2908"],"issn-type":[{"value":"1568-4539","type":"print"},{"value":"1573-2908","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10,7]]}}}