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The rationale behind this work is that decision analysis with interval-valued probabilities and utilities may lead to overlapping expected utility intervals yielding difficulties in discriminating between alternatives. By allowing for second-order belief distributions over interval-valued utility and probability statements these difficulties may not only be remedied but will also allow for decision evaluation concepts and techniques providing additional insight into a decision problem. The approach is based upon sets of linear constraints together with generation of random probability distributions and utility values from implicitly stated uniform second-order belief distributions over the polytopes given from the constraints. The result is an interactive method for decision evaluation with second-order belief distributions, complementing earlier methods for decision evaluation with interval-valued probabilities and utilities. The method has been implemented for trial use in a user oriented decision analysis software.<\/jats:p>","DOI":"10.1155\/2014\/519512","type":"journal-article","created":{"date-parts":[[2014,11,30]],"date-time":"2014-11-30T21:00:51Z","timestamp":1417381251000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["Implementing Second-Order Decision Analysis: Concepts, Algorithms, and Tool"],"prefix":"10.47654","volume":"2014","author":[{"ORCID":"http:\/\/orcid.org\/0000-0003-0310-0018","authenticated-orcid":true,"given":"Aron","family":"Larsson","sequence":"first","affiliation":[{"name":"Department of Computer and Systems Sciences, Stockholm University, Postbox 7003, 164 07 Kista, Sweden"},{"name":"Department of Information and Communications System, Mid Sweden University, 851 70 Sundsvall, Sweden"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-9648-5457","authenticated-orcid":true,"given":"Alina","family":"Kuznetsova","sequence":"additional","affiliation":[{"name":"Institute for Information Processing, Leibniz University Hannover, Appel Street 9A, 301 67 Hannover, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-2259-1716","authenticated-orcid":true,"given":"Ola","family":"Caster","sequence":"additional","affiliation":[{"name":"Department of Computer and Systems Sciences, Stockholm University, Postbox 7003, 164 07 Kista, Sweden"},{"name":"Uppsala Monitoring Centre, Box 1051, 75140 Uppsala, Sweden"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-0665-1889","authenticated-orcid":true,"given":"Love","family":"Ekenberg","sequence":"additional","affiliation":[{"name":"Department of Computer and Systems Sciences, Stockholm University, Postbox 7003, 164 07 Kista, Sweden"},{"name":"International Institute for Applied Systems Analysis, Schlossplatz 1, 2361 Laxenburg, Austria"}]}],"member":"27357","reference":[{"key":"11","doi-asserted-by":"publisher","DOI":"10.2307\/2025161"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1984.214"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1993.82"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1109\/3468.983411"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1111\/j.1540-5414.2005.00075.x"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2004.09.003"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/BF00486156"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488501000582"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2006.09.012"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2009.04.008"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(97)00022-2"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1287\/deca.1070.0088"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2006.06.030"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2003.08.056"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.12.037"},{"key":"1","series-title":"Lecture Notes in Economics and Mathematical Systems","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/978-3-642-22884-1_4","volume-title":"Combining second-order belief distributions with qualitative statements in decision analysis","volume":"658","year":"2012"}],"container-title":["Advances in Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/519512.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/519512.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2014\/519512.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T16:10:09Z","timestamp":1601309409000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/archive\/2014\/519512\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,30]]},"references-count":16,"alternative-id":["519512","519512"],"URL":"https:\/\/doi.org\/10.1155\/2014\/519512","relation":{},"ISSN":["2090-3359","2090-3367"],"issn-type":[{"value":"2090-3359","type":"print"},{"value":"2090-3367","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,30]]}}}