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Based on the new order relation, three algorithms are developed to deal with FFLP problems\u00a0by converting them into some equivalent crisp linear programming problems. Algorithm 1 is employed for solving FFLP problem without flexible constraint, while Algorithms 2 and 3 are developed to deal with FFLP problem with flexible constraints. A numerical example is given to illustrate the feasibility and efficiency of our proposed algorithms.<\/jats:p>","DOI":"10.3233\/ifs-151633","type":"journal-article","created":{"date-parts":[[2015,11,3]],"date-time":"2015-11-03T11:20:49Z","timestamp":1446549649000},"page":"1539-1550","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["Solving fully fuzzy linear programming problems with flexible constraints based on\u00a0a\u00a0new order relation"],"prefix":"10.1177","volume":"29","author":[{"given":"Xiao-Peng","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China"},{"name":"Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bing-Yuan","family":"Cao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China"},{"name":"Guangzhou Vocational College of Science and Technology, Guangzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xue-Gang","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China"},{"name":"Department of Applied Mathematics, Guangdong University of Finance, Guangzhou, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,10,23]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.17.4.B141"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(01)00124-9"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2010.07.037"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2008.10.020"},{"key":"e_1_3_1_6_2","first-page":"19","article-title":"Solving fully fuzzy linear programming problem by the ranking function","volume":"2","author":"Allahviranloo T","year":"2008","unstructured":"AllahviranlooTLotfiFHKiasaryMKKianiNAAlizadehL2008Solving fully fuzzy linear programming problem by the ranking functionApplied Mathematical Sciences21932","journal-title":"Applied Mathematical Sciences"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10489-011-0318-8"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.01.040"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(78)90031-3"},{"key":"e_1_3_1_10_2","article-title":"Introduction to Fuzzy Arithmetic: Theory and Applications","author":"Kauffmann A","year":"1991","unstructured":"KauffmannAGuptaMM1991Introduction to Fuzzy Arithmetic: Theory and ApplicationsVan Nostrand ReinholdNewYork","journal-title":"Van Nostrand Reinhold"},{"key":"e_1_3_1_11_2","unstructured":"CaoB-Y2010Optimal Models and Methods with Fuzzy QuantitiesBerlin HeidelbergSpringer-Verlag"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00022-0"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-2006-00295"},{"key":"e_1_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.04.004"},{"key":"e_1_3_1_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.08.047"},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.10.002"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","unstructured":"A. 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