{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T13:26:52Z","timestamp":1754486812417},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2000,12]]},"abstract":"<jats:p> The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory. <\/jats:p>","DOI":"10.1142\/s0218488500000460","type":"journal-article","created":{"date-parts":[[2003,4,22]],"date-time":"2003-04-22T11:43:29Z","timestamp":1051011809000},"page":"625-640","source":"Crossref","is-referenced-by-count":36,"title":["ENTROPY OF DISCRETE FUZZY MEASURES"],"prefix":"10.1142","volume":"08","author":[{"given":"JEAN-LUC","family":"MARICHAL","sequence":"first","affiliation":[{"name":"Institute of Mathematics, University of Li\u00e8ge, Grande Traverse 12 \u2013 B37, Sart Tilman, B-4000 Li\u00e8ge, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MARC","family":"ROUBENS","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, University of Li\u00e8ge, Grande Traverse 12 \u2013 B37, Sart Tilman, B-4000 Li\u00e8ge, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488593000048"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1109\/91.366561"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(95)00176-X"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00168-1"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1287\/moor.25.2.157.12225"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1080\/03081079008935135"},{"key":"p_11","author":"Marichal J.-L.","journal-title":"IEEE Transactions on Fuzzy Systems, to appear."},{"key":"p_12","author":"Marichal J.-L.","journal-title":"IEEE Transactions on Fuzzy Systems, submitted for revision."},{"key":"p_13","author":"Marichal J.-L.","journal-title":"Eur. J. of Oper. Res., submitted for revision."},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00116-X"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(91)90213-J"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"p_21","first-page":"89","author":"Sugeno M.","year":"1977","journal-title":"M.M. Gupta, G.N. Saridis, and B.R. Gaines (eds.), Fuzzy Automata Holland, Amsterdam"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1080\/03081078308960825"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1109\/21.87068"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1098-111X(199912)14:12<1239::AID-INT5>3.0.CO;2-G"}],"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\/S0218488500000460","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:04:04Z","timestamp":1565147044000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488500000460"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,12]]},"references-count":16,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2000,12]]}},"alternative-id":["10.1142\/S0218488500000460"],"URL":"https:\/\/doi.org\/10.1142\/s0218488500000460","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,12]]}}}