{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,8]],"date-time":"2026-01-08T15:48:54Z","timestamp":1767887334446,"version":"3.49.0"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comp. Intel. Appl."],"published-print":{"date-parts":[[2009,12]]},"abstract":"<jats:p> We introduce a new method for modeling rating (utility) functions which employs techniques from fuzzy set theory. The main idea is to build a hierarchical model, called a fuzzy operator tree (FOT), by recursively decomposing a rating criterion into sub-criteria, and to combine the evaluations of these sub-criteria by means of suitable aggregation operators. Apart from the model conception itself, we propose an evolutionary method for model calibration that fits the parameters of an FOT to exemplary ratings. The possibility to adapt an FOT to a given set of data makes the approach also interesting from a machine learning point of view. The performance of the approach is evaluated by means of a suitable experimental study. <\/jats:p>","DOI":"10.1142\/s1469026809002679","type":"journal-article","created":{"date-parts":[[2009,11,17]],"date-time":"2009-11-17T11:24:50Z","timestamp":1258457090000},"page":"413-428","source":"Crossref","is-referenced-by-count":21,"title":["FUZZY OPERATOR TREES FOR MODELING RATING FUNCTIONS"],"prefix":"10.1142","volume":"08","author":[{"given":"YU","family":"YI","sequence":"first","affiliation":[{"name":"Philipps-Universit\u00e4t Marburg, Mathematics and Computer Science Department, 35032 Marburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"THOMAS","family":"FOBER","sequence":"additional","affiliation":[{"name":"Philipps-Universit\u00e4t Marburg, Mathematics and Computer Science Department, 35032 Marburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"EYKE","family":"H\u00dcLLERMEIER","sequence":"additional","affiliation":[{"name":"Philipps-Universit\u00e4t Marburg, Mathematics and Computer Science Department, 35032 Marburg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","series-title":"Natural Computing Series","volume-title":"Experimental Research in Evolutionary Computation \u2014 The New Experimentalism","author":"Bartz-Beielstein T.","year":"2006"},{"key":"rf2","volume":"1","author":"Beyer H. G.","journal-title":"J. Natural Computing"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1985.177"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.36.3.249"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00254-0"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1648-2"},{"key":"rf9","unstructured":"J.\u00a0Fodor and R. R.\u00a0Yager, Fundamentals of Fuzzy Sets, eds. D.\u00a0Dubois and H.\u00a0Prade (Kluwer Academic Publishers, Boston\/London\/Dordrecht, 2002)\u00a0pp. 125\u2013194."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(01)00007-0"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(02)00267-1"},{"key":"rf12","series-title":"Advances in Computation: Theory and Practice","volume-title":"Machines That Learn to Play Games","author":"F\u00fcrnkranz J.","year":"2002"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511609220"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7373(85)80075-4"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1109\/21.256541"},{"key":"rf16","volume-title":"Triangular Norms","author":"Klement E. P.","year":"2002"},{"key":"rf17","first-page":"458","volume":"2","author":"Lakoff G.","journal-title":"J. Phil. Logic"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(99)00182-4"},{"key":"rf19","unstructured":"P.\u00a0Meyer and M.\u00a0Roubens, Multiple Criteria Decision Analysis: State of the Art Surveys, eds. J.\u00a0Figueira, S.\u00a0Greco and M.\u00a0Ehrgott (Springer-Verlag, 2005)\u00a0pp. 471\u2013506."},{"key":"rf20","volume-title":"Foundations of Neuro-Fuzzy Systems","author":"Nauck D.","year":"1997"},{"key":"rf21","volume-title":"Theory of Games and Economic Behavior","author":"Von Neumann J.","year":"1953"},{"key":"rf22","volume-title":"C4.5: Programs for Machine Learning","author":"Quinlan J. R.","year":"1993"},{"key":"rf24","volume":"40","author":"Resnik P.","journal-title":"Comm. ACM"},{"key":"rf25","volume-title":"The Analytic Hierarchy Process","author":"Saaty T. L.","year":"1980"},{"key":"rf26","volume-title":"Probabilistic Metric Spaces","author":"Schweizer B.","year":"1983"},{"key":"rf27","volume-title":"Hold'em Poker: A Complete Guide to Playing the Game","author":"Sklansky D.","year":"1996"},{"key":"rf28","volume-title":"Hold 'em Poker for Advanced Players","author":"Sklansky D.","year":"1999"},{"key":"rf29","first-page":"249","volume":"6","author":"Torra V.","journal-title":"Mathware and Soft Computing"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2004.834814"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/S0888-613X(00)00048-7"},{"key":"rf32","volume-title":"Data Mining: Practical Machine Learning Tools and Techniques","author":"Witten I. H.","year":"2005"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1109\/21.87068"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1080\/01969727208542910"}],"container-title":["International Journal of Computational Intelligence and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1469026809002679","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:18:11Z","timestamp":1565137091000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1469026809002679"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,12]]},"references-count":31,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,12]]}},"alternative-id":["10.1142\/S1469026809002679"],"URL":"https:\/\/doi.org\/10.1142\/s1469026809002679","relation":{},"ISSN":["1469-0268","1757-5885"],"issn-type":[{"value":"1469-0268","type":"print"},{"value":"1757-5885","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,12]]}}}