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We prove the nearest interval approximation interval of trapezoidal IT2FNs, then the trapezoidal IT2FNs in the model are transformed into interval numbers which both upper and lower limits are interval numbers. With the help of best-worst cases (BWC) method, the sub-models of the transformed interval linear programming model are proposed, and four sub-solutions with different specific meanings can be obtained by solving them respectively. Finally, an application example is presented to show the rationality and practical significance of the method.<\/jats:p>","DOI":"10.3233\/jifs-211568","type":"journal-article","created":{"date-parts":[[2022,1,18]],"date-time":"2022-01-18T15:19:06Z","timestamp":1642519146000},"page":"2275-2285","source":"Crossref","is-referenced-by-count":2,"title":["The solution for type-2 fuzzy linear programming model based on the nearest interval approximation"],"prefix":"10.1177","volume":"42","author":[{"given":"Xiaofei","family":"Li","sequence":"first","affiliation":[{"name":"Southeast University, Jiangning District, Nanjing, Jiangsu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Binhua","family":"Ye","sequence":"additional","affiliation":[{"name":"Southeast University, Jiangning District, Nanjing, Jiangsu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinwang","family":"Liu","sequence":"additional","affiliation":[{"name":"Southeast University, Jiangning District, Nanjing, Jiangsu, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-211568_ref1","unstructured":"\u041a\u0430\u043d\u0442\u043e\u0440\u043e\u0432\u0438\u0447, \u041b.\u0412.: Mathematical Methods in Production Organization and Planning, Science Press (1959)."},{"key":"10.3233\/JIFS-211568_ref2","unstructured":"Huang H. and Han J. , Mathematical Programming, Tsinghua University Press, Beijing (2006)."},{"key":"10.3233\/JIFS-211568_ref3","doi-asserted-by":"crossref","unstructured":"Zadeh L.A. , Fuzzy sets, Information and Control 8(3) (1965).","DOI":"10.1016\/S0019-9958(65)90241-X"},{"issue":"1","key":"10.3233\/JIFS-211568_ref4","first-page":"43","article-title":"The concept of a linguistic variable and its application to approximate reasoning-III","volume":"9","author":"Zadeh","year":"1975","journal-title":"Elsevier"},{"issue":"2","key":"10.3233\/JIFS-211568_ref5","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1109\/91.995115","article-title":"Type-2 fuzzy sets made simple","volume":"10","author":"Mendel","year":"2002","journal-title":"IEEE Trans. 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