{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T04:54:50Z","timestamp":1696913690530},"reference-count":18,"publisher":"Science China Press., Co. Ltd.","issue":"6","license":[{"start":{"date-parts":[[2002,12,1]],"date-time":"2002-12-01T00:00:00Z","timestamp":1038700800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2002,12,1]],"date-time":"2002-12-01T00:00:00Z","timestamp":1038700800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sci China Ser F"],"published-print":{"date-parts":[[2002,12]]},"DOI":"10.1360\/02yf9037","type":"journal-article","created":{"date-parts":[[2023,10,9]],"date-time":"2023-10-09T17:41:59Z","timestamp":1696873319000},"page":"433-441","source":"Crossref","is-referenced-by-count":0,"title":["The order structure of fuzzy numbers based on the level characteristics and its application to optimization problems"],"prefix":"10.1360","volume":"45","author":[{"given":"Min","family":"Liu","sequence":"first","affiliation":[]},{"given":"Fachao","family":"Li","sequence":"additional","affiliation":[]},{"given":"Cheng","family":"Wu","sequence":"additional","affiliation":[]}],"member":"294","reference":[{"key":"456433_CR1","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/S0165-0114(83)80107-9","volume":"10","author":"R. Goetschel","year":"1983","unstructured":"Goetschel, R., Voxman, W., Topological properties of fuzzy number, Fuzzy Sets and Systems, 1983, 10: 87\u201399.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR2","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1016\/0165-0114(89)90045-6","volume":"29","author":"P. Diamond","year":"1989","unstructured":"Diamond, P., Kloeden, P., Characterization of compact subset of fuzzy sets, Fuzzy Sets and Systems, 1989, 29: 341\u2013348.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR3","doi-asserted-by":"crossref","DOI":"10.1142\/2326","volume-title":"Metric Space of Fuzzy Set: Theory and Applications","author":"P. Diamond","year":"1994","unstructured":"Diamond, P., Koeden, P., Metric Space of Fuzzy Set: Theory and Applications, Singapore: World Scientific, 1994."},{"issue":"1","key":"456433_CR4","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1360\/csb1998-43-1-106","volume":"43","author":"Congxin Wu","year":"1998","unstructured":"Wu Congxin, Li Fachao, Ha Minghu et al., Fuzzy metric and convergence based on the symmetric difference, Chinese Science Bulletin, 1998, 43(1): 106\u2013107.","journal-title":"Chinese Science Bulletin"},{"key":"456433_CR5","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1016\/0165-0114(87)90033-9","volume":"24","author":"H. Tanaka","year":"1987","unstructured":"Tanaka, H., Fuzzy data analysis by possibillistic linear models, Fuzzy Sets and Systems, 1987, 24: 363\u2013375.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR6","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/0165-0114(94)90097-3","volume":"66","author":"Shaocheng Tong","year":"1994","unstructured":"Tong Shaocheng, Interval number and fuzzy number linear programming, Fuzzy Sets and Systems, 1994, 66: 301\u2013306.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR7","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/0165-0114(95)00231-6","volume":"82","author":"H. Kuwano","year":"1996","unstructured":"Kuwano, H., On the fuzzy multi-objective linear programming problem: Goal programming approach, Fuzzy Sets and Systems, 1996, 82: 57\u201364.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR8","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1016\/0165-0114(89)90043-2","volume":"29","author":"M. A. E. Kassem","year":"1989","unstructured":"Kassem, M. A. E., Ammar, E. I., Stability of multi-objective nonlinear programming problem with fuzzy parameters in the constraints, Fuzzy Sets and Systems, 1989, 29: 315\u2013326.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR9","first-page":"887","volume":"15","author":"S. Lee","year":"1988","unstructured":"Lee, S., Olson, D., Comparison fuzzy number based on the probability measure of fuzzy events, Operation Research, 1988, 15: 887\u2013896.","journal-title":"Operation Research"},{"key":"456433_CR10","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/0165-0114(92)90223-Q","volume":"50","author":"T. Liou","year":"1992","unstructured":"Liou, T., Wang, M., Ranking fuzzy numbers with integral value, Fuzzy Sets and Systems, 1992, 50: 247\u2013255.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR11","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/0165-0114(89)90090-0","volume":"32","author":"S. Nanda","year":"1989","unstructured":"Nanda, S., On fuzzy integral, Fuzzy Sets and Systems, 1989, 32: 95\u2013101.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR12","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/S0165-0114(96)00164-9","volume":"92","author":"Kunlun Zhang","year":"1997","unstructured":"Zhang Kunlun, Kirota, K., On fuzzy number-lattice (\u223c\n R\n \u2a7d), \u2a7d), Fuzzy Sets and Systems, 1997, 92: 113\u2013122.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR13","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1006\/jmaa.1997.5406","volume":"210","author":"Congxin Wu","year":"1997","unstructured":"Wu Congxin, Wu Cong, The supremum and infimum of fuzzy numbers and its application, J. Math. Anal. Appl., 1997, 210: 499\u2013511.","journal-title":"J. Math. Anal. Appl."},{"key":"456433_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0165-0114(85)90012-0","volume":"15","author":"G. Bortolan","year":"1985","unstructured":"Bortolan, G., Degani, R., A review of some methods for ranking fuzzy numbers, Fuzzy Sets and Systems, 1985, 15: 1\u201319.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR15","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/0165-0114(85)90050-8","volume":"17","author":"S. H. Chen","year":"1985","unstructured":"Chen, S. H., Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets and Systems, 1985, 17: 113\u2013129.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR16","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/0165-0114(90)90189-D","volume":"35","author":"K. Kim","year":"1990","unstructured":"Kim, K., Park, K. S., Ranking fuzzy numbers with index of optimism, Fuzzy Sets and Systems, 1990, 35: 143\u2013150.","journal-title":"Fuzzy Sets and Systems"},{"key":"456433_CR17","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1016\/0022-247X(78)90045-8","volume":"64","author":"H. T. Nguyen","year":"1978","unstructured":"Nguyen, H. T., A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 1978, 64: 369\u2013380.","journal-title":"J. Math. Anal. Appl."},{"key":"456433_CR18","volume-title":"Foundation of Fuzzy Analysis","author":"Congxin Wu","year":"1991","unstructured":"Wu Congxin, Ma Ming, Foundation of Fuzzy Analysis (in Chinese), Beijing: National Defense Industry Press, 1991."}],"container-title":["Science in China Series F Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1360\/02yf9037.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1360\/02yf9037\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1360\/02yf9037.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,9]],"date-time":"2023-10-09T17:42:04Z","timestamp":1696873324000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1360\/02yf9037"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,12]]},"references-count":18,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2002,12]]}},"alternative-id":["456433"],"URL":"https:\/\/doi.org\/10.1360\/02yf9037","relation":{},"ISSN":["1009-2757","1862-2836"],"issn-type":[{"value":"1009-2757","type":"print"},{"value":"1862-2836","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,12]]}}}