{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,27]],"date-time":"2026-09-27T04:27:55Z","timestamp":1790483275914,"version":"4.1.0"},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2006,4]]},"abstract":"<jats:p>The upper entropy of a credal set is the maximum of the entropies of the probabilities belonging to it. Although there are algorithms for computing the upper entropy for the particular cases of credal sets associated to belief functions and probability intervals, there is none for a more general model. In this paper, we shall present an algorithm to obtain the upper entropy for order-2 capacities. Our algorithm is an extension of the one presented for belief functions, and proofs of correctness are provided. By using a counterexample, we shall also prove that this algorithm is not valid for general lower probabilities as it computes a value which is strictly greater than the maximum of entropy.<\/jats:p>","DOI":"10.1142\/s0218488506003911","type":"journal-article","created":{"date-parts":[[2006,4,13]],"date-time":"2006-04-13T11:32:45Z","timestamp":1144927965000},"page":"141-154","source":"Crossref","is-referenced-by-count":29,"title":["AN ALGORITHM TO COMPUTE THE UPPER ENTROPY FOR ORDER-2 CAPACITIES"],"prefix":"10.1142","volume":"14","author":[{"given":"JOAQUIN","family":"ABELL\u00c1N","sequence":"first","affiliation":[{"name":"Department of Computer Science and AI, ETSI Inform\u00e1tica, University of Granada, 18071 Granada, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"SERAFIN","family":"MORAL","sequence":"additional","affiliation":[{"name":"Department of Computer Science and AI, ETSI Inform\u00e1tica, University of Granada, 18071 Granada, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488500000253"},{"key":"rf2","first-page":"1215","volume":"18","author":"Abell\u00e1n J.","journal-title":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2004.10.001"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1080\/03081070500108609"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90064-X"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488594000146"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.5802\/aif.53"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177698950"},{"key":"rf9","first-page":"83","volume":"19","author":"Dubois D.","journal-title":"BUSEFAL"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0378-3758(88)90099-7"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1080\/03081079408935225"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016784627561"},{"key":"rf14","volume-title":"Uncertainty-Based Information","author":"Klir G. 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