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Stackelberg problems and Stackelberg solutions under fuzziness have not been fully discussed so far. New Stackelberg solution concepts under fuzziness, called\n                    <jats:italic>possibilistic Stackelberg solutions<\/jats:italic>\n                    , are proposed by incorporating possibility theory into Stackelberg solutions in non-fuzzy environments. This paper shows some theoretical properties and theorems on the formulated fuzzy bilevel programming problems. It is shown that the proposed possibilistic Stackelberg solutions are obtained by using linear or nonlinear programming techniques. The effectiveness of the proposed models is demonstrated by numerical experiments using transportation problems where the upper-level decision maker is a buyer and the lower-level one is a supplier.\n                  <\/jats:p>","DOI":"10.3233\/jifs-169213","type":"journal-article","created":{"date-parts":[[2017,5,26]],"date-time":"2017-05-26T14:44:18Z","timestamp":1495809858000},"page":"4485-4501","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Possibilistic Stackelberg solutions to bilevel linear programming problems with fuzzy parameters"],"prefix":"10.1177","volume":"32","author":[{"given":"Hideki","family":"Katagiri","sequence":"first","affiliation":[{"name":"Department of Industrial Engineering, Faculty of Engineering, Kanagawa University, Kanagawa, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kosuke","family":"Kato","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Hiroshima Institute of Technology, Hiroshima, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takeshi","family":"Uno","sequence":"additional","affiliation":[{"name":"Department of Mathematical Science, Graduate School of Science and Technology, Tokushima University, Tokushima, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,5,23]]},"reference":[{"key":"e_1_3_1_2_2","first-page":"83","article-title":"The principal\/agent paradigm: Characterizations and computations","volume":"70","author":"Ackere A.V.","year":"1993","unstructured":"AckereA.V., The principal\/agent paradigm: Characterizations and computations, European Journal of Operational Research 70 (1993), 83\u2013103.","journal-title":"European Journal of Operational Research"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(98)00336-1"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.12.019"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.psep.2009.11.003"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-007-9263-4"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1137\/0911017"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0305-0548(93)90013-9"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.22.5.1086"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2013.10.059"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(87)90070-4"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-005-4612-4"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1057\/palgrave.rpm.5170046"},{"key":"e_1_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1017571111854"},{"key":"e_1_3_1_15_2","article-title":"Working Paper, Department of Mathematics and Computer Science, TU Bergakademie Freiberg","author":"Dempe S.","year":"2007","unstructured":"DempeS. and StarostinaT., On the solution of fuzzy bilevel programming, Working Paper, Department of Mathematics and Computer Science, TU Bergakademie Freiberg, 2007.","journal-title":"On the solution of fuzzy bilevel programming"},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-45827-3"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(83)90025-7"},{"key":"e_1_3_1_18_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016740830286"},{"key":"e_1_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.1109\/21.101139"},{"key":"e_1_3_1_20_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-007-9066-4"},{"key":"e_1_3_1_21_2","volume-title":"Fuzzy logic: Mathematical Tools for Approximate Reasoning","author":"Giangiacomo G.","year":"2001","unstructured":"GiangiacomoG., Fuzzy logic: Mathematical Tools for Approximate Reasoning, Kluwer Academic Publishers, Dordrecht, 2001."},{"key":"e_1_3_1_22_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011268113791"},{"key":"e_1_3_1_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)00364-7"},{"key":"e_1_3_1_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00449-7"},{"key":"e_1_3_1_25_2","doi-asserted-by":"crossref","unstructured":"KahramanC. 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