{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T06:52:34Z","timestamp":1725864754597},"publisher-location":"Cham","reference-count":38,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319455587"},{"type":"electronic","value":"9783319455594"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"DOI":"10.1007\/978-3-319-45559-4_1","type":"book-chapter","created":{"date-parts":[[2016,9,7]],"date-time":"2016-09-07T10:00:08Z","timestamp":1473242408000},"page":"3-13","source":"Crossref","is-referenced-by-count":7,"title":["Entropy of Belief Functions in the Dempster-Shafer Theory: A New Perspective"],"prefix":"10.1007","author":[{"given":"Radim","family":"Jirou\u0161ek","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Prakash P.","family":"Shenoy","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,9,8]]},"reference":[{"issue":"6","key":"1_CR1","doi-asserted-by":"crossref","first-page":"611","DOI":"10.1080\/03081079.2011.561204","volume":"40","author":"J Abell\u00e1n","year":"2011","unstructured":"Abell\u00e1n, J.: Combining nonspecificity measures in Dempster-Shafer theory of evidence. Int. J. Gen. Syst. 40(6), 611\u2013622 (2011)","journal-title":"Int. J. Gen. Syst."},{"issue":"6","key":"1_CR2","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1080\/03081070802082486","volume":"37","author":"J Abell\u00e1n","year":"2008","unstructured":"Abell\u00e1n, J., Masegosa, A.: Requirements for total uncertainty measures in Dempster-Shafer theory of evidence. Int. J. Gen. Syst. 37(6), 733\u2013747 (2008)","journal-title":"Int. J. Gen. Syst."},{"issue":"4\u20135","key":"1_CR3","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1080\/03081079908935240","volume":"28","author":"J Abell\u00e1n","year":"1999","unstructured":"Abell\u00e1n, J., Moral, S.: Completing a total uncertainty measure in Dempster-Shafer theory. Int. J. Gen. Syst. 28(4\u20135), 299\u2013314 (1999)","journal-title":"Int. J. Gen. Syst."},{"issue":"3","key":"1_CR4","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1016\/j.ijar.2005.06.008","volume":"41","author":"BR Cobb","year":"2006","unstructured":"Cobb, B.R., Shenoy, P.P.: On the plausibility transformation method for translating belief function models to probability models. Int. J. Approx. Reason. 41(3), 314\u2013340 (2006)","journal-title":"Int. J. Approx. Reason."},{"issue":"3","key":"1_CR5","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1002\/int.20134","volume":"21","author":"M Daniel","year":"2006","unstructured":"Daniel, M.: On transformations of belief functions to probabilities. Int. J. Intell. Syst. 21(3), 261\u2013282 (2006)","journal-title":"Int. J. Intell. Syst."},{"issue":"2","key":"1_CR6","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1214\/aoms\/1177698950","volume":"38","author":"AP Dempster","year":"1967","unstructured":"Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. Ann. Math. Stat. 38(2), 325\u2013339 (1967)","journal-title":"Ann. Math. Stat."},{"key":"1_CR7","doi-asserted-by":"crossref","unstructured":"Dezert, J., Smarandache, F., Tchamova, A.: On the Blackman\u2019s association problem. In: Proceedings of the 6th Annual Conference on Information Fusion, Cairns, Queensland, Australia, pp. 1349\u20131356. International Society for Information Fusion (2003)","DOI":"10.1109\/ICIF.2003.177397"},{"issue":"2","key":"1_CR8","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0165-0114(87)90088-1","volume":"24","author":"D Dubois","year":"1987","unstructured":"Dubois, D., Prade, H.: Properties of measures of information in evidence and possibility theories. Fuzzy Sets Syst. 24(2), 161\u2013182 (1987)","journal-title":"Fuzzy Sets Syst."},{"key":"1_CR9","unstructured":"Fagin, R., Halpern, J.Y.: A new approach to updating beliefs. In: Bonissone, P., Henrion, M., Kanal, L., Lemmer, J. (eds.) Uncertainty in Artificial Intelligence, vol. 6, pp. 347\u2013374. North-Holland (1991)"},{"issue":"3","key":"1_CR10","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/0004-3702(92)90048-3","volume":"54","author":"JY Halpern","year":"1992","unstructured":"Halpern, J.Y., Fagin, R.: Two views of belief: belief as generalized probability and belief as evidence. Artif. Intell. 54(3), 275\u2013317 (1992)","journal-title":"Artif. Intell."},{"issue":"4","key":"1_CR11","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1080\/03081079408935225","volume":"22","author":"D Harmanec","year":"1994","unstructured":"Harmanec, D., Klir, G.J.: Measuring total uncertainty in Dempster-Shafer theory: a novel approach. Int. J. Gen. Syst. 22(4), 405\u2013419 (1994)","journal-title":"Int. J. Gen. Syst."},{"issue":"3","key":"1_CR12","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1002\/j.1538-7305.1928.tb01236.x","volume":"7","author":"RVL Hartley","year":"1928","unstructured":"Hartley, R.V.L.: Transmission of information. Bell Syst. Tech. J. 7(3), 535\u2013563 (1928)","journal-title":"Bell Syst. Tech. J."},{"key":"1_CR13","unstructured":"H\u00f6hle, U.: Entropy with respect to plausibility measures. In: Proceedings of the 12th IEEE Symposium on Multiple-Valued Logic, pp. 167\u2013169 (1982)"},{"key":"1_CR14","doi-asserted-by":"crossref","unstructured":"Jirou\u0161ek, R., Shenoy, P.P.: A new definition of entropy of belief functions in the Dempster-Shafer theory. Working Paper 330, University of Kansas School of Business, Lawrence, KS (2016)","DOI":"10.1007\/978-3-319-45559-4_1"},{"issue":"5","key":"1_CR15","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1109\/TSMCA.2005.853483","volume":"36","author":"A-L Jousselme","year":"2006","unstructured":"Jousselme, A.-L., Liu, C., Grenier, D., Boss\u00e9, E.: Measuring ambiguity in the evidence theory. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 36(5), 890\u2013903 (2006)","journal-title":"IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum."},{"issue":"2","key":"1_CR16","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/0165-0114(87)90087-X","volume":"24","author":"GJ Klir","year":"1987","unstructured":"Klir, G.J.: Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like? Fuzzy Sets Syst. 24(2), 141\u2013160 (1987)","journal-title":"Fuzzy Sets Syst."},{"key":"1_CR17","doi-asserted-by":"crossref","unstructured":"Klir, G.J., Parviz, B.: A note on the measure of discord. In: Dubois, D., Wellman, M.P., D\u2019Ambrosio, B., Smets, P. (eds.) Uncertainty in Artificial Intelligence: Proceedings of the Eighth Conference, pp. 138\u2013141. Morgan Kaufmann (1992)","DOI":"10.1016\/B978-1-4832-8287-9.50023-2"},{"issue":"2","key":"1_CR18","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1080\/03081079008935135","volume":"18","author":"GJ Klir","year":"1990","unstructured":"Klir, G.J., Ramer, A.: Uncertainty in the Dempster-Shafer theory: a critical re-examination. Int. J. Gen. Syst. 18(2), 155\u2013166 (1990)","journal-title":"Int. J. Gen. Syst."},{"key":"1_CR19","volume-title":"Uncertainity Elements of Generalized Information Theory","author":"GJ Klir","year":"1999","unstructured":"Klir, G.J., Wierman, M.J.: Uncertainity Elements of Generalized Information Theory, 2nd edn. Springer, Berlin (1999)","edition":"2"},{"key":"1_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-01674-9","volume-title":"A Mathematical Theory of Hints: An Approach to the Dempster-Shafer Theory of Evidence","author":"J Kohlas","year":"1995","unstructured":"Kohlas, J., Monney, P.-A.: A Mathematical Theory of Hints: An Approach to the Dempster-Shafer Theory of Evidence. Springer, Berlin (1995)"},{"issue":"4","key":"1_CR21","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1080\/03081078808935019","volume":"14","author":"MT Lamata","year":"1988","unstructured":"Lamata, M.T., Moral, S.: Measures of entropy in the theory of evidence. Int. J. Gen. Syst. 14(4), 297\u2013305 (1988)","journal-title":"Int. J. Gen. Syst."},{"issue":"4","key":"1_CR22","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1080\/03081079308945088","volume":"21","author":"Y Maeda","year":"1993","unstructured":"Maeda, Y., Ichihashi, H.: An uncertainty measure under the random set inclusion. Int. J. Gen. Syst. 21(4), 379\u2013392 (1993)","journal-title":"Int. J. Gen. Syst."},{"key":"1_CR23","first-page":"145","volume-title":"The Analysis of Fuzzy Information","author":"HT Nguyen","year":"1985","unstructured":"Nguyen, H.T.: On entropy of random sets and possibility distributions. In: Bezdek, J.C. (ed.) The Analysis of Fuzzy Information, pp. 145\u2013156. CRC Press, Boca Raton (1985)"},{"issue":"1","key":"1_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0888-613X(05)80003-9","volume":"8","author":"NR Pal","year":"1993","unstructured":"Pal, N.R., Bezdek, J.C., Hemasinha, R.: Uncertainty measures for evidential reasoning II: a new measure of total uncertainty. Int. J. Approx. Reason. 8(1), 1\u201316 (1993)","journal-title":"Int. J. Approx. Reason."},{"issue":"1","key":"1_CR25","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1016\/j.ijar.2012.08.004","volume":"54","author":"M Pouly","year":"2013","unstructured":"Pouly, M., Kohlas, J., Ryan, P.Y.A.: Generalized information theory for hints. Int. J. Approx. Reason. 54(1), 228\u2013251 (2013)","journal-title":"Int. J. Approx. Reason."},{"key":"1_CR26","unstructured":"R\u00e9nyi, A.: On measures of information and entropy. In: Proceedings of the 4th Berkeley Symposium on Mathematics, Statistics and Probability, pp. 547\u2013561 (1960)"},{"key":"1_CR27","doi-asserted-by":"crossref","DOI":"10.1515\/9780691214696","volume-title":"A Mathematical Theory of Evidence","author":"G Shafer","year":"1976","unstructured":"Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)"},{"issue":"1","key":"1_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01064627","volume":"48","author":"G Shafer","year":"1981","unstructured":"Shafer, G.: Constructive probability. Synthese 48(1), 1\u201360 (1981)","journal-title":"Synthese"},{"issue":"5\u20136","key":"1_CR29","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/0888-613X(90)90012-Q","volume":"4","author":"G Shafer","year":"1990","unstructured":"Shafer, G.: Perspectives on the theory and practice of belief functions. Int. J. Approx. Reason. 4(5\u20136), 323\u2013362 (1990)","journal-title":"Int. J. Approx. Reason."},{"issue":"379\u2013423","key":"1_CR30","doi-asserted-by":"crossref","first-page":"623","DOI":"10.1002\/j.1538-7305.1948.tb00917.x","volume":"27","author":"CE Shannon","year":"1948","unstructured":"Shannon, C.E.: A mathematical theory of communication. Bell Syst. Tech. J. 27(379\u2013423), 623\u2013656 (1948)","journal-title":"Bell Syst. Tech. J."},{"issue":"3","key":"1_CR31","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0888-613X(94)90001-9","volume":"10","author":"PP Shenoy","year":"1994","unstructured":"Shenoy, P.P.: Conditional independence in valuation-based systems. Int. J. Approx. Reason. 10(3), 203\u2013234 (1994)","journal-title":"Int. J. Approx. Reason."},{"key":"1_CR32","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/S0020-7373(83)80040-6","volume":"19","author":"P Smets","year":"1983","unstructured":"Smets, P.: Information content of an evidence. Int. J. Man Mach. Stud. 19, 33\u201343 (1983)","journal-title":"Int. J. Man Mach. Stud."},{"key":"1_CR33","doi-asserted-by":"crossref","unstructured":"Smets, P.: Constructing the pignistic probability function in a context of uncertainty. In: Henrion, M., Shachter, R., Kanal, L.N., Lemmer, J.F. (eds.) Uncertainty in Artificial Intelligence, vol. 5. pp, pp. 29\u201340. North-Holland, Amsterdam (1990)","DOI":"10.1016\/B978-0-444-88738-2.50010-5"},{"issue":"2","key":"1_CR34","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/0004-3702(94)90026-4","volume":"66","author":"P Smets","year":"1994","unstructured":"Smets, P., Kennes, R.: The transferable belief model. Artif. Intell. 66(2), 191\u2013234 (1994)","journal-title":"Artif. Intell."},{"issue":"1","key":"1_CR35","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1080\/03081079308935193","volume":"22","author":"J Vejnarov\u00e1","year":"1993","unstructured":"Vejnarov\u00e1, J., Klir, G.J.: Measure of strife in Dempster-Shafer theory. Int. J. Gen. Syst. 22(1), 25\u201342 (1993)","journal-title":"Int. J. Gen. Syst."},{"key":"1_CR36","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3472-7","volume-title":"Statistical Reasoning with Imprecise Probabilities","author":"P Walley","year":"1991","unstructured":"Walley, P.: Statistical Reasoning with Imprecise Probabilities. Chapman & Hall, London (1991)"},{"issue":"6","key":"1_CR37","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1080\/03081070108960739","volume":"30","author":"MJ Wierman","year":"2001","unstructured":"Wierman, M.J.: Measuring granularity in evidence theory. Int. J. Gen. Syst. 30(6), 649\u2013660 (2001)","journal-title":"Int. J. Gen. Syst."},{"issue":"4","key":"1_CR38","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1080\/03081078308960825","volume":"9","author":"R Yager","year":"1983","unstructured":"Yager, R.: Entropy and specificity in a mathematical theory of evidence. Int. J. Gen. Syst. 9(4), 249\u2013260 (1983)","journal-title":"Int. J. Gen. Syst."}],"container-title":["Lecture Notes in Computer Science","Belief Functions: Theory and Applications"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-45559-4_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,7]],"date-time":"2022-07-07T21:28:04Z","timestamp":1657229284000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-45559-4_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319455587","9783319455594"],"references-count":38,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-45559-4_1","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]}}}