{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T04:05:26Z","timestamp":1759032326761},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2009,4,24]],"date-time":"2009-04-24T00:00:00Z","timestamp":1240531200000},"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":[[2009,6]]},"DOI":"10.1007\/s10700-009-9057-2","type":"journal-article","created":{"date-parts":[[2009,4,23]],"date-time":"2009-04-23T07:14:00Z","timestamp":1240470840000},"page":"141-163","source":"Crossref","is-referenced-by-count":10,"title":["A new linear ordering of fuzzy numbers on subsets of \n                \n                  \n                \n                $${{\\mathcal F}({\\pmb{\\mathbb{R}}}})$$"],"prefix":"10.1007","volume":"8","author":[{"given":"Emmanuel","family":"Valvis","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,4,24]]},"reference":[{"key":"9057_CR1","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/0005-1098(77)90008-5","volume":"13","author":"S.M. Baas","year":"1977","unstructured":"Baas S.M., Kwakernaak H. (1977) Rating and ranking of multiple-aspect alternatives using fuzzy sets. Automatica 13: 47\u201358","journal-title":"Automatica"},{"key":"9057_CR2","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/0165-0114(85)90090-9","volume":"17","author":"J.J. Buckley","year":"1985","unstructured":"Buckley J.J. (1985a) Fuzzy hierarhical analysis. Fuzzy Sets & Systems 17: 233\u2013247","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR3","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1016\/0165-0114(85)90013-2","volume":"15","author":"J.J. Buckley","year":"1985","unstructured":"Buckley J.J. (1985b) Ranking alternatives using fuzzy numbers. Fuzzy Sets & Systems 15: 21\u201331","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-39919-3","volume-title":"Fuzzy statistics","author":"J.J. Buckley","year":"2004","unstructured":"Buckley J.J. (2004) Fuzzy statistics. Springer, Heidelberg"},{"key":"9057_CR5","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. (1985) A review of some methods for ranking fuzzy subsets. Fuzzy Sets & Systems 15: 1\u201319","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR6","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1016\/S0165-0114(00)00043-9","volume":"122","author":"Ch. Carlsson","year":"2001","unstructured":"Carlsson Ch., Fuller R. (2001) On possibilistic mean value and variance of fuzzy numbers. Fuzzy Sets & Systems 122: 315\u2013326","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-46768-4","volume-title":"Fuzzy multiple attribute decision making","author":"S. Chen","year":"1992","unstructured":"Chen, S., & Hwang, C. L. (1992). Fuzzy multiple attribute decision making. Berlin: Springer."},{"key":"9057_CR8","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1016\/S0020-0255(99)00007-9","volume":"118","author":"G. De Cooman","year":"1999","unstructured":"De Cooman G., Aeyels D. (1999) Supremum preserving upper probabilities. Information Sciences 118: 173\u2013212","journal-title":"Information Sciences"},{"key":"9057_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.fss.2005.01.008","volume":"153","author":"T. Denoeux","year":"2005","unstructured":"Denoeux, T., Masson, M. H., & Hebert, P. A. (2005). Nonparametric rank-based statistics and significance tests for fuzzy data. Fuzzy Sets & Systems, 153, 1\u201328.","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR10","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1016\/0020-0255(83)90025-7","volume":"30","author":"D. Dubois","year":"1983","unstructured":"Dubois, D., & Prade, H. (1983). Ranking of fuzzy numbers in the setting of possibility theory. Information Sciences, 30, 183\u2013224.","journal-title":"Information Sciences"},{"key":"9057_CR11","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/0165-0114(86)90026-6","volume":"18","author":"R. Goetschel","year":"1986","unstructured":"Goetschel R., Voxman W. (1986) Elementary fuzzy calculus. Fuzzy Sets & Systems 18: 31\u201343","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR12","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1016\/S0165-0114(98)00061-X","volume":"112","author":"P. Grzegorzewski","year":"2000","unstructured":"Grzegorzewski P. (2000) Testing statistical hypotheses with vague data. Fuzzy Sets & Systems 112: 501\u2013510","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR13","doi-asserted-by":"publisher","first-page":"2665","DOI":"10.1016\/j.fss.2003.08.009","volume":"157","author":"O. Hryniewicz","year":"2006","unstructured":"Hryniewicz O. (2006) Possibilistic decisions and fuzzy statistical tests. Fuzzy Sets & Systems 157: 2665\u20132673","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-3943-1","volume-title":"Statistics with vague data","author":"R. Kruse","year":"1987","unstructured":"Kruse R., Meyer K.D. (1987) Statistics with vague data. Riedel, Dordrecht"},{"key":"9057_CR15","first-page":"138","volume":"43","author":"M. Kurano","year":"2000","unstructured":"Kurano, M., Yasuda, M., Nakagami, J., & Yoshida, Y. (2000). Ordering of convex fuzzy sets-A brief survey and new results. Journal of the Operations Research Society of Japan, 43, 138\u2013148.","journal-title":"Ordering of convex fuzzy sets-A brief survey and new results. Journal of the Operations Research Society of Japan"},{"key":"9057_CR16","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1016\/S0165-0114(85)80013-0","volume":"16","author":"J. Ram\u0131k","year":"1985","unstructured":"Ram\u0131k, J., & Rimanek, J. (1985). Inequality relation between fuzzy numbers and its use in fuzzy optimization. Fuzzy Sets & Systems, 16, 123\u2013138.","journal-title":"Fuzzy Sets & Systems"},{"key":"9057_CR17","volume-title":"Real analysis","author":"H.L. Royden","year":"1968","unstructured":"Royden H.L. (1968) Real analysis (2nd ed). Macmillan, New York","edition":"2"},{"key":"9057_CR18","volume-title":"Real and complex analysis","author":"W. Rudin","year":"1986","unstructured":"Rudin, W. (1986). Real and complex analysis. New York: McGraw-Hill."},{"key":"9057_CR19","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5303-5","volume-title":"Fuzzy measure theory","author":"Z. Wang","year":"1992","unstructured":"Wang Z., Klir G. (1992) Fuzzy measure theory. Plenum, New York"},{"key":"9057_CR20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1109\/TSMC.1979.4310067","volume":"9","author":"S.R. Watson","year":"1979","unstructured":"Watson S.R., Weiss J.J., Donnell M.L. (1979) Fuzzy decision analysis. IEEE Transactions on Systems Management Cybernet 9: 1\u20139","journal-title":"IEEE Transactions on Systems Management Cybernet"},{"key":"9057_CR21","doi-asserted-by":"publisher","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. Inf and Control 8: 338\u2013353","journal-title":"Inf and Control"},{"key":"9057_CR22","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/S0020-0255(71)80005-1","volume":"3","author":"L.A. Zadeh","year":"1971","unstructured":"Zadeh L.A. (1971) Similarity relations and fuzzy orderings. Information Sciences 3: 177\u2013200","journal-title":"Information Sciences"}],"container-title":["Fuzzy Optimization and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-009-9057-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10700-009-9057-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-009-9057-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-009-9057-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T22:01:15Z","timestamp":1559253675000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10700-009-9057-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4,24]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2009,6]]}},"alternative-id":["9057"],"URL":"https:\/\/doi.org\/10.1007\/s10700-009-9057-2","relation":{},"ISSN":["1568-4539","1573-2908"],"issn-type":[{"value":"1568-4539","type":"print"},{"value":"1573-2908","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4,24]]}}}