{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T18:50:10Z","timestamp":1649098210606},"reference-count":34,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2012,6]]},"abstract":"<jats:p> In order to solve group decision making (GDM) problems where the preference relations are provided by decision makers with incomplete fuzzy and interval numbers, this paper develops a GDM approach on the basis of multiple objective optimization and goal programming methods. The proposed approach first analyzes the two types of preference relations and then builds their respective optimization models. Subsequently, an integrated programming model combining the two preference relations is developed to minimize the inconsistency among the decision makers' opinions. By solving the programming model, the ranking of alternatives or selection of the most desirable alternative can be obtained using the intermediate priority vector. Two numerical examples including incomplete fuzzy and interval preference relations are examined to illustrate and show the applicability of the proposed approach. <\/jats:p>","DOI":"10.1142\/s0218488512500183","type":"journal-article","created":{"date-parts":[[2012,5,16]],"date-time":"2012-05-16T09:56:19Z","timestamp":1337162179000},"page":"355-367","source":"Crossref","is-referenced-by-count":0,"title":["A GOAL PROGRAMMING APPROACH TO GROUP DECISION MAKING WITH INCOMPLETE FUZZY AND INTERVAL PREFERENCE RELATIONS"],"prefix":"10.1142","volume":"20","author":[{"given":"JIANG","family":"JIANG","sequence":"first","affiliation":[{"name":"College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"XUAN","family":"LI","sequence":"additional","affiliation":[{"name":"College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"YINGWU","family":"CHEN","sequence":"additional","affiliation":[{"name":"College of Information System and Management, National University of Defense Technology, Changsha 410073, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"DAWEI","family":"TANG","sequence":"additional","affiliation":[{"name":"Manchester Business School, University of Manchester, Manchester, M15 6PB, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,17]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61580-1"},{"key":"rf2","volume-title":"The Analytic Hierarch Process","author":"Saaty T. L.","year":"1980"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1080\/03081070600913726"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(00)00004-X"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2003.12.011"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2003.08.007"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2009.2013457"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2008.08.023"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2007.05.001"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2003.11.013"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2008.06.034"},{"key":"rf12","first-page":"3","volume":"50","author":"Lan J. B.","journal-title":"Mathematical and Computer Modelling"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2004.06.080"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2004.10.020"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.10.066"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1002\/int.20262"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1002\/int.20332"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2007.05.005"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.889952"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488508005054"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2003.10.011"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.03.026"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1109\/TSMCA.2002.802821"},{"key":"rf24","first-page":"876","volume":"35","author":"Ma J.","journal-title":"IEEE Transactions on Systems, Man and Cybernetics \u2014 Part A: System and Humans"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.02.026"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2006.07.020"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1002\/int.20184"},{"key":"rf28","first-page":"1500","volume":"37","author":"Xu Z. S.","journal-title":"IEEE Transactions on Systems, Man and Cybernetics \u2014 Part B: Cybernetics"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2006.11.011"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-9236(03)00094-0"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(99)00197-6"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2009.11.019"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.2008028"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1142\/S0219622009003417"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488512500183","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T15:16:26Z","timestamp":1565104586000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488512500183"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5,17]]},"references-count":34,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,5,17]]},"published-print":{"date-parts":[[2012,6]]}},"alternative-id":["10.1142\/S0218488512500183"],"URL":"https:\/\/doi.org\/10.1142\/s0218488512500183","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5,17]]}}}