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In many applications, ranking of interval type-2 fuzzy numbers is an important component in the decision process. In this paper, the concepts of magnitude mean value and variance of interval type-2 trapezoidal fuzzy numbers (IT2 TrFNs) are introduced and some of their properties are studied.. Then, we propose a new magnitude mean-variance possibility degree method to solve ranking of interval type-2 trapezoidal fuzzy numbers. Finally, some comparative examples are used to illustrate the advantage of the proposed method.<\/jats:p>","DOI":"10.3233\/jifs-161279","type":"journal-article","created":{"date-parts":[[2017,2,28]],"date-time":"2017-02-28T11:19:23Z","timestamp":1488280763000},"page":"1891-1902","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["A new approach for ranking of interval type-2 trapezoidal fuzzy numbers"],"prefix":"10.1177","volume":"32","author":[{"given":"Yanbing","family":"Gong","sequence":"first","affiliation":[{"name":"Department of Information Management, Hohai University, Changzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuxin","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Information Management, Hohai University, Changzhou, 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