{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T11:41:48Z","timestamp":1648899708221},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2010,2]]},"abstract":"<jats:p> One of the most important issues in the field of fuzzy preference modelling is the construction of a fuzzy strict preference relation and a fuzzy indifference relation from a fuzzy weak preference relation. Here, we focus on a particular class of fuzzy weak preference relations, the so-called fuzzy orderings. The definition of a fuzzy ordering involves a fuzzy equivalence relation and, in this paper, the latter will be considered as the corresponding fuzzy indifference relation. We search for fuzzy strict preference relations compatible with a given fuzzy ordering and its fuzzy indifference relation. In many situations, depending on the t-norm and t-conorm used, this quest results in a unique fuzzy strict preference relation. Our aim is to characterize these fuzzy strict preference relations and to study their transitivity. <\/jats:p>","DOI":"10.1142\/s0218488510006350","type":"journal-article","created":{"date-parts":[[2010,2,18]],"date-time":"2010-02-18T03:48:46Z","timestamp":1266464926000},"page":"13-24","source":"Crossref","is-referenced-by-count":7,"title":["FUZZY STRICT PREFERENCE RELATIONS COMPATIBLE WITH FUZZY ORDERINGS"],"prefix":"10.1142","volume":"18","author":[{"given":"BONIFACIO","family":"LLAMAZARES","sequence":"first","affiliation":[{"name":"Department of Applied Economics, Valladolid University, Avda. Valle de Esgueva 6, E-47011 Valladolid, Spain"}]},{"given":"BERNARD","family":"DE BAETS","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, B-9000 Ghent, Belgium"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","series-title":"Preference Modeling","volume-title":"Lecture Notes in Economics and Mathematical Systems 250","author":"Roubens M.","year":"1985"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5645-9_1"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00327-2"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00396-X"},{"key":"rf6","doi-asserted-by":"crossref","unstructured":"B.\u00a0Van de Walle, B.\u00a0De Baets and E.\u00a0Kerre, Annals of Operations Research, Characterizable fuzzy preference structures\u00a080, eds. D.\u00a0Bouyssou and P.\u00a0Vincke (Baltzer Science Publishers, Bussum, 1998)\u00a0pp. 105\u2013136.","DOI":"10.1023\/A:1018903628661"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1360(199805)7:3<169::AID-MCDA189>3.0.CO;2-3"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00221-2"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(02)00386-X"},{"key":"rf10","unstructured":"B.\u00a0De Baets and J.\u00a0Fodor, Principles of Fuzzy Preference Modelling and Decision Making, Additive fuzzy preference structures: the next generation, eds. B.\u00a0De Baets and J.\u00a0Fodor (Academia Press, 2003)\u00a0pp. 15\u201325."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.02.018"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(85)90045-3"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488500000411"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1648-2"},{"key":"rf15","unstructured":"B.\u00a0De Baets and J.\u00a0Fodor, Fuzzy Sets and Their Extensions: Representation, Aggregation and Models, Fuzzy preference modelling: Fundamentals and recent advances, eds. 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