{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,12]],"date-time":"2025-12-12T13:18:17Z","timestamp":1765545497106,"version":"3.33.0"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2008,3,11]],"date-time":"2008-03-11T00:00:00Z","timestamp":1205193600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2008,10]]},"DOI":"10.1007\/s10479-008-0327-0","type":"journal-article","created":{"date-parts":[[2008,3,10]],"date-time":"2008-03-10T14:41:47Z","timestamp":1205160107000},"page":"143-168","source":"Crossref","is-referenced-by-count":67,"title":["Self-tuning of fuzzy belief rule bases for engineering system safety analysis"],"prefix":"10.1007","volume":"163","author":[{"given":"Jun","family":"Liu","sequence":"first","affiliation":[]},{"given":"Jian-Bo","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Da","family":"Ruan","sequence":"additional","affiliation":[]},{"given":"Luis","family":"Martinez","sequence":"additional","affiliation":[]},{"given":"Jin","family":"Wang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,3,11]]},"reference":[{"issue":"2","key":"327_CR1","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1109\/91.493906","volume":"4","author":"P. M. Bell","year":"1996","unstructured":"Bell, P. M., & Badiru, A. B. (1996). Fuzzy modelling and analytic hierarchy processing to quantify risk levels associated with occupational injuries\u2014Part I: The development of fuzzy-linguistic risk levels. IEEE Transactions on Fuzzy Systems, 4(2), 124\u2013131.","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"327_CR2","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1002\/(SICI)1098-111X(199906)14:6<559::AID-INT2>3.0.CO;2-#","volume":"14","author":"E. Binaghi","year":"1999","unstructured":"Binaghi, E., & Madella, P. (1999). Fuzzy Dempster\u2013Shafer reasoning for rule-based classifiers. International Journal of Intelligent Systems, 14, 559\u2013583.","journal-title":"International Journal of Intelligent Systems"},{"key":"327_CR3","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0951-8320(95)00068-D","volume":"50","author":"J. B. Bowles","year":"1995","unstructured":"Bowles, J. B., & Pelaez, C. E. (1995). Fuzzy logic prioritisation of failures in a system failure mode, effects and criticality analysis. Reliability Engineering and System Safety, 50, 203\u2013213.","journal-title":"Reliability Engineering and System Safety"},{"key":"327_CR4","doi-asserted-by":"crossref","unstructured":"Chen, H., & Moan, T. (2002). Collision risk analysis of FPSO-tanker offloading operation. In 21st International Conference on Offshore Mechanics & Arctic Engineering, Oslo, Norway, 23\u201328 June 2002.","DOI":"10.1115\/OMAE2002-28103"},{"key":"327_CR5","unstructured":"Coleman, T., Branch, M. A., & Grace, A. (1999). Optimization toolbox\u2014for use with Matlab. The Mathworks Inc."},{"key":"327_CR6","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1111\/j.2517-6161.1968.tb00722.x","volume":"30","author":"A. P. Dempster","year":"1968","unstructured":"Dempster, A. P. (1968). A generalization of Bayesian inference. Journal of the Royal Statistical Society, Series B, 30, 205\u2013247.","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"327_CR7","first-page":"410","volume-title":"Decision support systems in water resources management","author":"L. Duckstein","year":"1994","unstructured":"Duckstein, L. (1994). Elements of fuzzy set analysis and fuzzy risk. In H. P. Nachtnebel (Ed.), Decision support systems in water resources management (pp. 410\u2013430). Paris: UNESCO Press."},{"issue":"1","key":"327_CR8","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1080\/09617353.2002.11690751","volume":"23","author":"J. Liu","year":"2003","unstructured":"Liu, J., Yang, J. B., Wang, J., & Sii, H. S. (2003). Review of uncertainty reasoning approaches as guidance for maritime and offshore safety-based assessment. Journal of UK Safety and Reliability Society, 23(1), 63\u201380.","journal-title":"Journal of UK Safety and Reliability Society"},{"issue":"2\u20133","key":"327_CR9","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1080\/03081070310001633536","volume":"33","author":"J. Liu","year":"2004","unstructured":"Liu, J., Yang, J. B., Wang, J., Sii, H. S., & Wang, Y. M. (2004). Fuzzy rule-based evidential reasoning approach for safety analysis. International Journal of General Systems, 33(2\u20133), 183\u2013204.","journal-title":"International Journal of General Systems"},{"key":"327_CR10","unstructured":"McCaul, J. R. (2001). Special report\u2014floating production systems. Oil & Gas Journal, June, 11."},{"key":"327_CR11","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/s00158-003-0368-6","volume":"26","author":"R. T. Marler","year":"2004","unstructured":"Marler, R. T., & Arora, J. S. (2004). Survey of multi-objective optimization methods for engineering. Struct Multidisc Optim., 26, 369\u2013395.","journal-title":"Struct Multidisc Optim."},{"key":"327_CR12","volume-title":"Nonlinear multiobjective optimization","author":"K. Miettinen","year":"1999","unstructured":"Miettinen, K. (1999). Nonlinear multiobjective optimization. Boston: Kluwer Academic."},{"key":"327_CR13","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: Princeton University Press."},{"key":"327_CR14","unstructured":"Sii, H. S., & Wang, J. (2002). Safety assessment of FPSOs\u2014The process of modelling system safety and case studies. Report of the project\u2014The application of approximate reasoning methodologies to offshore engineering design (EPSRC GR\/R30624 and GR\/R32413), Liverpool John Moores University, UK."},{"key":"327_CR15","first-page":"253","volume-title":"Non-standard logics for automated reasoning","author":"P. Smets","year":"1988","unstructured":"Smets, P. (1988). Belief function. In P. Smets, E. H. Mamdani, D. Dubois & H. Prade (Eds.), Non-standard logics for automated reasoning (pp. 253\u2013277). London: Academic Press."},{"issue":"3","key":"327_CR16","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0951-8320(94)00053-Q","volume":"47","author":"J. Wang","year":"1995","unstructured":"Wang, J., Yang, J. B., & Sen, P. (1995). Safety analysis and synthesis using fuzzy set modelling and evidential reasoning. Reliability Engineering and System Safety, 47(3), 103\u2013118.","journal-title":"Reliability Engineering and System Safety"},{"issue":"3","key":"327_CR17","doi-asserted-by":"crossref","first-page":"1885","DOI":"10.1016\/j.ejor.2004.09.059","volume":"174","author":"Y. M. Wang","year":"2006","unstructured":"Wang, Y. M., Yang, J. B., & Xu, D. L. (2006). Environmental impact assessment using the evidential reasoning approach. European Journal of Operational Research, 174(3), 1885\u20131913.","journal-title":"European Journal of Operational Research"},{"key":"327_CR18","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/S0377-2217(99)00441-5","volume":"131","author":"J. B. Yang","year":"2001","unstructured":"Yang, J. B. (2001). Rule and utility based evidential reasoning approach for multi-attribute decision analysis under uncertainties. European Journal of Operational Research, 131, 31\u201361.","journal-title":"European Journal of Operational Research"},{"issue":"10","key":"327_CR19","doi-asserted-by":"crossref","first-page":"1458","DOI":"10.1109\/21.310529","volume":"24","author":"J. B. Yang","year":"1994","unstructured":"Yang, J. B., & Sen, P. (1994). A general multi-level evaluation process for hybrid MADM with uncertainty. IEEE Transactions on Systems, Man, and Cybernetics, 24(10), 1458\u20131473.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics"},{"issue":"1","key":"327_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/21.259681","volume":"24","author":"J. B. Yang","year":"1994","unstructured":"Yang, J. B., & Singh, M. G. (1994). An evidential reasoning approach for multiple attribute decision making with uncertainty. IEEE Transactions on Systems, Man, and Cybernetics, 24(1), 1\u201318.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics"},{"issue":"3","key":"327_CR21","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1109\/TSMCA.2002.802746","volume":"32","author":"J. B. Yang","year":"2002","unstructured":"Yang, J. B., & Xu, D. L. (2002a). On the evidential reasoning algorithm for multiple attribute decision analysis under uncertainty. IEEE Transactions on Systems, Man, and Cybernetics-Part A, 32(3), 289\u2013304.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics-Part A"},{"issue":"3","key":"327_CR22","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1109\/TSMCA.2002.802809","volume":"32","author":"J. B. Yang","year":"2002","unstructured":"Yang, J. B., & Xu, D. L. (2002b). Nonlinear information aggregation via evidential reasoning in multi-attribute decision analysis under uncertainty. IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, 32(3), 376\u2013393.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans"},{"issue":"2","key":"327_CR23","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1109\/TSMCA.2005.851270","volume":"36","author":"J. B. Yang","year":"2006","unstructured":"Yang, J. B., Liu, J., Wang, J., & Sii, H. S. (2006a). A generic rule-base inference methodology using the evidential reasoning approach\u2014RIMER. IEEE Transactions on Systems, Man, and Cybernetics, 36(2), 266\u2013285.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics"},{"issue":"1","key":"327_CR24","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/j.ejor.2004.09.017","volume":"171","author":"J. B. Yang","year":"2006","unstructured":"Yang, J. B., Wang, Y. M., Xu, D. L., & Chin, K. S. (2006b). The evidential reasoning approach for MCDA under both probabilistic and fuzzy uncertainties. European Journal of Operational Research, 171(1), 309\u2013343.","journal-title":"European Journal of Operational Research"},{"issue":"4","key":"327_CR25","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1109\/TSMCA.2007.897606","volume":"37","author":"J. B. Yang","year":"2006","unstructured":"Yang, J. B., Liu, J., Xu, D. L., Wang, J., & Wang, H. W. (2006c). Optimization models for training belief rule based systems. IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans, 37(4), 569\u2013585.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics Part A: Systems and Humans"},{"key":"327_CR26","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"L. A. Zadeh","year":"1965","unstructured":"Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338\u2013353.","journal-title":"Information and Control"},{"key":"327_CR27","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-0255(75)90036-5","volume":"8","author":"L. A. Zadeh","year":"1975","unstructured":"Zadeh, L. A. (1975a). The concept of a linguistic variable and its applications to approximate reasoning. Part\u00a0I. Information Sciences, 8, 199\u2013249.","journal-title":"Information Sciences"},{"key":"327_CR28","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/0020-0255(75)90046-8","volume":"8","author":"L. A. Zadeh","year":"1975","unstructured":"Zadeh, L. A. (1975b). The concept of a linguistic variable and its applications to approximate reasoning. Part\u00a0II. Information Sciences, 8, 301\u2013357.","journal-title":"Information Sciences"},{"key":"327_CR29","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0020-0255(75)90017-1","volume":"9","author":"L. A. Zadeh","year":"1975","unstructured":"Zadeh, L. A. (1975c). The concept of a linguistic variable and its applications to approximate reasoning. Part\u00a0III. Information Sciences, 9, 43\u201380.","journal-title":"Information Sciences"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-008-0327-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-008-0327-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-008-0327-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,29]],"date-time":"2025-01-29T00:59:05Z","timestamp":1738112345000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-008-0327-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,3,11]]},"references-count":29,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,10]]}},"alternative-id":["327"],"URL":"https:\/\/doi.org\/10.1007\/s10479-008-0327-0","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"type":"print","value":"0254-5330"},{"type":"electronic","value":"1572-9338"}],"subject":[],"published":{"date-parts":[[2008,3,11]]}}}