{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T04:32:03Z","timestamp":1777955523643,"version":"3.51.4"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2010,11,27]],"date-time":"2010-11-27T00:00:00Z","timestamp":1290816000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2011,7]]},"DOI":"10.1007\/s00500-010-0676-x","type":"journal-article","created":{"date-parts":[[2010,11,26]],"date-time":"2010-11-26T08:56:01Z","timestamp":1290761761000},"page":"1373-1381","source":"Crossref","is-referenced-by-count":25,"title":["RM approach for ranking of L\u2013R type generalized fuzzy numbers"],"prefix":"10.1007","volume":"15","author":[{"given":"Amit","family":"Kumar","sequence":"first","affiliation":[]},{"given":"Pushpinder","family":"Singh","sequence":"additional","affiliation":[]},{"given":"Parmpreet","family":"Kaur","sequence":"additional","affiliation":[]},{"given":"Amarpreet","family":"Kaur","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,11,27]]},"reference":[{"key":"676_CR1","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.camwa.2008.10.090","volume":"57","author":"S Abbasbandy","year":"2009","unstructured":"Abbasbandy S, Hajjari T (2009) A new approach for ranking of trapezoidal fuzzy numbers. Comput Math Appl 57:413\u2013419","journal-title":"Comput Math Appl"},{"key":"676_CR2","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0165-0114(89)90188-7","volume":"29","author":"LM Campos","year":"1989","unstructured":"Campos LM, Gonzalez A (1989) A subjective approach for ranking fuzzy numbers. Fuzzy Sets Syst 29:145\u2013153","journal-title":"Fuzzy Sets Syst"},{"key":"676_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10489-006-0003-5","volume":"26","author":"SJ Chen","year":"2007","unstructured":"Chen SJ, Chen SM (2007) Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers. Appl Intell 26:1\u201311","journal-title":"Appl Intell"},{"key":"676_CR4","doi-asserted-by":"crossref","first-page":"6833","DOI":"10.1016\/j.eswa.2008.08.015","volume":"36","author":"SM Chen","year":"2009","unstructured":"Chen SM, Chen JH (2009) Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads. Expert Syst Appl 36:6833\u20136842","journal-title":"Expert Syst Appl"},{"key":"676_CR5","doi-asserted-by":"crossref","first-page":"2340","DOI":"10.1016\/j.camwa.2008.05.012","volume":"56","author":"CC Chen","year":"2008","unstructured":"Chen CC, Tang HC (2008) Ranking nonnormal p-norm trapezoidal fuzzy numbers with integral value. Comput Math Appl 56:2340\u20132346","journal-title":"Comput Math Appl"},{"key":"676_CR6","doi-asserted-by":"crossref","first-page":"5576","DOI":"10.1016\/j.eswa.2008.06.112","volume":"36","author":"SM Chen","year":"2009","unstructured":"Chen SM, Wang CH (2009) Fuzzy risk analysis based on ranking fuzzy numbers using \u03b1-cuts, belief features and signal\/noise ratios. Expert Syst Appl 36:5576\u20135581","journal-title":"Expert Syst Appl"},{"key":"676_CR7","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/S0165-0114(96)00272-2","volume":"95","author":"CH Cheng","year":"1998","unstructured":"Cheng CH (1998) A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets Syst 95:307\u2013317","journal-title":"Fuzzy Sets Syst"},{"key":"676_CR8","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/S0898-1221(01)00277-2","volume":"43","author":"TC Chu","year":"2002","unstructured":"Chu TC, Tsao CT (2002) Ranking fuzzy numbers with an area between the centroid point and original point. Comput Math Appl 43:111\u2013117","journal-title":"Comput Math Appl"},{"key":"676_CR9","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1080\/01969720590961727","volume":"36","author":"Y Deng","year":"2005","unstructured":"Deng Y, Liu Q (2005) A TOPSIS-based centroid-index ranking method of fuzzy numbers and its applications in decision making. Cybern Syst 36:581\u2013595","journal-title":"Cybern Syst"},{"key":"676_CR10","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1109\/TSMC.1976.4309421","volume":"6","author":"R Jain","year":"1976","unstructured":"Jain R (1976) Decision-making in the presence of fuzzy variables. IEEE Trans Syst Man Cybern 6:698\u2013703","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"676_CR11","volume-title":"Fuzzy mathematical models in engineering and managment science","author":"A Kaufmann","year":"1988","unstructured":"Kaufmann A, Gupta MM (1988) Fuzzy mathematical models in engineering and managment science. Elseiver. Amsterdam"},{"key":"676_CR12","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1109\/91.811235","volume":"7","author":"HC Kwang","year":"1999","unstructured":"Kwang HC, Lee JH (1999) A method for ranking fuzzy numbers and its application to decision making. IEEE Trans Fuzzy Syst 7:677\u2013685","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"676_CR13","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0165-0114(92)90223-Q","volume":"50","author":"TS Liou","year":"1992","unstructured":"Liou TS, Wang MJ (1992) Ranking fuzzy numbers with integral value. Fuzzy Sets Syst 50:247\u2013255","journal-title":"Fuzzy Sets Syst"},{"key":"676_CR14","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/S0165-0114(98)00427-8","volume":"118","author":"M Modarres","year":"2001","unstructured":"Modarres M, Sadi-Nezhad S (2001) Ranking fuzzy numbers by preference ratio. Fuzzy Sets Syst 118:429\u2013436","journal-title":"Fuzzy Sets Syst"},{"key":"676_CR15","first-page":"492","volume":"28","author":"N Ramli","year":"2009","unstructured":"Ramli N, Mohamad D (2009) A comparative analysis of centroid methods in ranking fuzzy numbers. Eur J Sci Res 28:492\u2013501","journal-title":"Eur J Sci Res"},{"key":"676_CR16","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/S0165-0114(99)00062-7","volume":"118","author":"X Wang","year":"2001","unstructured":"Wang X, Kerre EE (2001) Reasonable properties for the ordering of fuzzy quantities (I). Fuzzy Sets Syst 118:375\u2013385","journal-title":"Fuzzy Sets Syst"},{"key":"676_CR17","doi-asserted-by":"crossref","first-page":"2033","DOI":"10.1016\/j.camwa.2007.07.015","volume":"55","author":"YJ Wang","year":"2008","unstructured":"Wang YJ, Lee HS (2008) The revised method of ranking fuzzy numbers with an area between the centroid and original points. Comput Math Appl 55:2033\u20132042","journal-title":"Comput Math Appl"},{"key":"676_CR18","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0020-0255(81)90017-7","volume":"24","author":"RR Yager","year":"1981","unstructured":"Yager RR (1981) A procedure for ordering fuzzy subsets of the unit interval. Inf Sci 24:143\u2013161","journal-title":"Inf Sci"},{"key":"676_CR19","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8:338\u2013353","journal-title":"Information and Control"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-010-0676-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-010-0676-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-010-0676-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T01:40:05Z","timestamp":1559094005000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-010-0676-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,11,27]]},"references-count":19,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2011,7]]}},"alternative-id":["676"],"URL":"https:\/\/doi.org\/10.1007\/s00500-010-0676-x","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,11,27]]}}}