{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T14:42:09Z","timestamp":1770043329984,"version":"3.49.0"},"reference-count":28,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,8,11]]},"abstract":"<jats:p>This paper proposes a new method to rank the parametric form of fuzzy numbers based on defuzzification. The defuzzification process use centroids, value, ambiguity and decision levels on fuzzy number developed from the parametric form of a generalized fuzzy number. The proposed method avoids reducing function to remove lower alpha levels and can overcome the shortcomings in some of the existing fuzzy ranking methods. The proposed method can effectively rank symmetric fuzzy numbers with the same core and different heights, fuzzy numbers with the same support and different cores, crisp numbers, crisp numbers having the same support and different heights, and fuzzy numbers having compensation of areas. A demonstration of the proposed method through examples and a comparative study with other methods in the literature shows that the proposed method gives effective results.<\/jats:p>","DOI":"10.3233\/jifs-210327","type":"journal-article","created":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T14:45:25Z","timestamp":1622558725000},"page":"1445-1459","source":"Crossref","is-referenced-by-count":5,"title":["Ranking parametric form of fuzzy numbers by defuzzification based on centroids value and ambiguity"],"prefix":"10.1177","volume":"41","author":[{"given":"Devaki Rani","family":"Botsa","sequence":"first","affiliation":[{"name":"Department of Mathematics, Anits College of Engineering, Visakhapatnam, Andhra Pradesh, India"}]},{"given":"Phani Bushan Rao","family":"Peddi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, GITAM Deemed to be University, Visakhapatnam, Andhra Pradesh, India"}]},{"given":"Vikas","family":"Boddu","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, GITAM Deemed to be University, Visakhapatnam, Andhra Pradesh, India"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-210327_ref1","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/S0165-0114(96)00272-2","article-title":"A new approach for ranking fuzzy numbers by distance method","volume":"95","author":"Cheng","year":"1998","journal-title":"Fuzzy Sets, and Systems"},{"key":"10.3233\/JIFS-210327_ref2","doi-asserted-by":"crossref","first-page":"749","DOI":"10.3233\/JIFS-179446","article-title":"Single & interval-valued neutrosophic AHP methods: Performance analysis of outsourcing law firms","volume":"38","author":"Kahraman","year":"2020","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"10.3233\/JIFS-210327_ref3","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1016\/j.asoc.2016.09.013","article-title":"A new method of ranking parametric form of fuzzy numbers using value and ambiguity","volume":"52","author":"Rituparna","year":"2017","journal-title":"Applied Soft Computing"},{"key":"10.3233\/JIFS-210327_ref4","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0020-0255(83)90025-7","article-title":"Ranking of fuzzy numbers in the Setting of possibility theory","volume":"30","author":"Dubois","year":"1983","journal-title":"Information Sciences"},{"key":"10.3233\/JIFS-210327_ref5","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/0165-0114(93)90374-Q","article-title":"An index for ordering fuzzy numbers","volume":"54","author":"Choobineh","year":"1993","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-210327_ref6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0165-0114(85)90012-0","article-title":"A review of some methods for ranking fuzzy subsets","volume":"15","author":"Bortolan","year":"1985","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-210327_ref7","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/S0165-0114(98)00122-5","article-title":"Ranking fuzzy numbers base on decomposition principle and signed distance","volume":"116","author":"Yao","year":"2000","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-210327_ref8","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0165-0114(90)90189-D","article-title":"Ranking fuzzy numbers with index of optimism","volume":"35","author":"Kim","year":"1990","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-210327_ref9","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/S0165-0114(96)00144-3","article-title":"On a canonical representation of fuzzy numbers","volume":"93","author":"Delgado","year":"1998","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-210327_ref10","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/S0165-0114(97)00310-2","article-title":"A new fuzzy arithmetic","volume":"108","author":"Ma","year":"1999","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-210327_ref11","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1142\/S0218488507004765","article-title":"A modification of the index of liou and Wang for ranking fuzzy number","volume":"15","author":"Garcia","year":"2007","journal-title":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems"},{"key":"10.3233\/JIFS-210327_ref12","doi-asserted-by":"crossref","first-page":"518","DOI":"10.1016\/j.indag.2013.02.002","article-title":"A new parametric method for ranking fuzzy numbers","volume":"24","author":"Shureshjani","year":"2013","journal-title":"Indagationes Mathematicae"},{"key":"10.3233\/JIFS-210327_ref13","doi-asserted-by":"crossref","first-page":"690","DOI":"10.1016\/j.eswa.2011.07.060","article-title":"An approach for ranking of Fuzzy numbers","volume":"39","author":"Ezzati","year":"2012","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-210327_ref15","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.camwa.2008.10.090","article-title":"A new approach for ranking of trapezoidal fuzzy numbers","volume":"57","author":"Abbasbandy","year":"2009","journal-title":"Computers and Mathematics with Applications"},{"key":"10.3233\/JIFS-210327_ref16","doi-asserted-by":"crossref","first-page":"851","DOI":"10.3233\/JIFS-191763","article-title":"Fermatean fuzzy TOPSIS method with dombi aggregation operators and its application in multi-criteria decision making","volume":"39","author":"Aydemir","year":"2020","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"10.3233\/JIFS-210327_ref17","doi-asserted-by":"crossref","first-page":"9230","DOI":"10.1016\/j.apm.2013.04.002","article-title":"Ranking fuzzy quantities based on the angle of reference functions","volume":"37","author":"Nasseri","year":"2013","journal-title":"Applied Mathematical Modelling"},{"key":"10.3233\/JIFS-210327_ref18","doi-asserted-by":"crossref","first-page":"6320","DOI":"10.1016\/j.eswa.2011.12.004","article-title":"Fuzzy risk analysis based on ranking generalized fuzzy numbers with different left heights and right heights","volume":"39","author":"Chen","year":"2012","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-210327_ref19","doi-asserted-by":"crossref","first-page":"2163","DOI":"10.1016\/j.eswa.2010.08.002","article-title":"Analyzing fuzzy risk based on a new fuzzy ranking method between generalized fuzzy numbers","volume":"38","author":"Chen","year":"2011","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-210327_ref20","doi-asserted-by":"crossref","first-page":"6833","DOI":"10.1016\/j.eswa.2008.08.015","article-title":"Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads","volume":"36","author":"Chen","year":"2009","journal-title":"Expert Systems with Applications"},{"key":"10.3233\/JIFS-210327_ref21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10489-006-0003-5","article-title":"Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers","volume":"26","author":"Chen","year":"2007","journal-title":"Applied Intelligence"},{"key":"10.3233\/JIFS-210327_ref22","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.amc.2015.04.030","article-title":"Ranking generalized exponential trapezoidal fuzzy numbers based on variance","volume":"262","author":"Rezvani","year":"2015","journal-title":"Applied Mathematics and Computation"},{"key":"10.3233\/JIFS-210327_ref23","first-page":"57","article-title":"Defuzzification method for ranking fuzzy numbers based on center of gravity","volume":"9","author":"Allahviranloo","year":"2012","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"10.3233\/JIFS-210327_ref24","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1007\/s00500-009-0464-7","article-title":"Ranking of fuzzy numbers by a new metric","volume":"14","author":"Allahviranloo","year":"2010","journal-title":"Soft Computing"},{"key":"10.3233\/JIFS-210327_ref25","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/S0898-1221(01)00277-2","article-title":"Ranking fuzzy numbers with an area between the Centroid point and original point","volume":"43","author":"Chu","year":"2002","journal-title":"Computers and Mathematics with Applications"},{"key":"10.3233\/JIFS-210327_ref26","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0165-0114(92)90223-Q","article-title":"Ranking fuzzy numbers with integral value","volume":"50","author":"Liou","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"key":"10.3233\/JIFS-210327_ref27","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1016\/j.asoc.2013.10.012","article-title":"An improved ranking method for fuzzy numbers with integral value","volume":"14","author":"Yu","year":"2014","journal-title":"Applied Soft Computing"},{"key":"10.3233\/JIFS-210327_ref28","doi-asserted-by":"crossref","first-page":"2033","DOI":"10.1016\/j.camwa.2007.07.015","article-title":"The revised method of ranking fuzzy numbers with an area between the centroid and original point","volume":"55","author":"Wang","year":"2008","journal-title":"Computers and Mathematics with Applications"},{"key":"10.3233\/JIFS-210327_ref29","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1016\/j.fss.2005.11.006","article-title":"On the centroids of fuzzy numbers","volume":"157","author":"Wang","year":"2006","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-210327","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T02:51:31Z","timestamp":1770000691000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-210327"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,8,11]]},"references-count":28,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.3233\/jifs-210327","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,8,11]]}}}