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The integrated cellular manufacturing system consists of the following elements: cell formation, cellular layout and operator and tool assignment. One of the important features of the proposed model is considering total expected cost criteria to operator assignment. Tool costs, inter and intra cell movement costs and machine constant costs are type-2 fuzzy variables. In order to defuzzification of parameters the critical value (CV)-based reduction method is used to reduce type-2 fuzzy variables into type-1 fuzzy variables and finally the centroid defuzzification method defuzzifies fuzzy costs to crisp numbers of the costs. Furthermore, to solve a small-sized numerical example, the Branch and Bound algorithm with the Lingo software has been used. Because of NP-hardness of the model for large-sized problems and no exist benchmark to validate the performance of the proposed model, three tuned meta-heuristic algorithms (i.e., particle swarm optimization, differential evolution and fire fly) are presented too. The results show that the particle swarm optimization algorithm has better statistically performances in most problems.<\/jats:p>","DOI":"10.3233\/jifs-17608","type":"journal-article","created":{"date-parts":[[2018,8,31]],"date-time":"2018-08-31T11:56:07Z","timestamp":1535716567000},"page":"2293-2308","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["An integrated cellular manufacturing system with type-2 fuzzy variables: Three tuned meta-heuristic algorithms"],"prefix":"10.1177","volume":"35","author":[{"given":"Omid","family":"Arghish","sequence":"first","affiliation":[{"name":"Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran"}]},{"given":"Reza","family":"Tavakkoli-Moghaddam","sequence":"additional","affiliation":[{"name":"School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran"},{"name":"LCFC, Arts et M\u00e9tiers Paris Tech, Metz, France"}]},{"given":"Ali","family":"Shahandeh-Nookabadi","sequence":"additional","affiliation":[{"name":"Department of Industrial and Systems Engineering, Isfahan University of Technology, Isfahan, Iran"}]},{"given":"Javad","family":"Rezaeian","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran"}]}],"member":"179","published-online":{"date-parts":[[2018,8,26]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/ICCIE.2009.5223728"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-008-1479-4"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-011-3186-9"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2013.08.026"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1108\/17410380510600491"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2004.02.002"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2009.07.019"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/4235.850651"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141431"},{"key":"e_1_3_1_11_2","first-page":"262","volume-title":"IEEE International Conference on Systems, Man and Cybernetics","author":"Garc\u00eda J.C.F.","year":"2009","unstructured":"Garc\u00edaJ.C.F., Solving fuzzy linear programming problems with Interval Type-2 RHS, IEEE International Conference on Systems, Man and Cybernetics, San Antonio, USA, 2009, pp. 262\u2013267."},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2011.12.020"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1080\/07408179708966366"},{"key":"e_1_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/0360-8352(91)90031-Z"},{"key":"e_1_3_1_15_2","first-page":"1942","volume-title":"Proceedings of the IEEE International Conference","author":"Kennedy J.","year":"1995","unstructured":"KennedyJ. and EberhartR., Particle swarm optimization, Paper presented at the Neural Networks, Proceedings of the IEEE International Conference, Perth, WA, 1995, pp. 1942\u20131948."},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2012.01.012"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmsy.2013.12.005"},{"key":"e_1_3_1_18_2","doi-asserted-by":"publisher","DOI":"10.1109\/ICCSN.2011.6014998"},{"key":"e_1_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.08.005"},{"key":"e_1_3_1_20_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207549408956933"},{"key":"e_1_3_1_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2008.07.054"},{"key":"e_1_3_1_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.03.044"},{"key":"e_1_3_1_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmsy.2013.02.003"},{"key":"e_1_3_1_24_2","first-page":"41","article-title":"Manufacturing cell configuration considering worker interest concept applying a bi-objective programming approach","volume":"25","author":"Mahdavi I.","year":"2014","unstructured":"MahdaviI., BootakiB. and PaydarM.M., Manufacturing cell configuration considering worker interest concept applying a bi-objective programming approach, International Journal of Industrial Engineering and Production Research 25 (2014), 41\u201353.","journal-title":"International Journal of Industrial Engineering and Production Research"},{"key":"e_1_3_1_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2012.04.034"},{"key":"e_1_3_1_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2016.01.012"},{"key":"e_1_3_1_27_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207549308956859"},{"key":"e_1_3_1_28_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-013-5378-y"},{"key":"e_1_3_1_29_2","unstructured":"MungwattanaA. 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