{"corpus_id":28045621,"paper_sha":"9ae892230f4e15bae1f80c76cdd90670f77391ff","doi":"10.5282/UBM/EPUB.43315","arxiv_id":null,"pmid":null,"pmcid":null,"mag_id":2801801856,"dblp_id":"conf/isipta/JansenSA17","acl_id":null,"title":"Concepts for Decision Making under Severe Uncertainty with Partial Ordinal and Partial Cardinal Preferences","year":2017,"publication_date":"2017-06-20","venue":"International Symposium on Imprecise Probabilities and Their Applications","journal":{"name":null,"pages":"181-192","volume":null},"journal_issn":null,"journal_title":null,"publication_types":["JournalArticle"],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics","Computer Science"],"reference_count":66,"citation_count":38,"influential_citation_count":1,"is_open_access":true,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://epub.ub.uni-muenchen.de/43315/2/tr216.pdf","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/9ae892230f4e15bae1f80c76cdd90670f77391ff","s2_open_access_license":"other-oa","s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We introduce three different approaches for decision making under uncertainty, if (I) there is only partial (both cardinal and ordinal) information on an agent’s preferences and (II) the uncertainty about the states of nature is described by a credal set. Particularly, (I) is modeled by a pair of relations, one specifying the partial rank order of the alternatives and the other modeling partial information on the strength of preference. Our first approach relies on criteria that construct complete rankings of the acts based on generalized expectation intervals. Subsequently, we introduce different concepts of global admissibility that construct partial orders by comparing all acts simultaneously. Finally, we define criteria induced by suitable binary relations on the set of acts and, therefore, can be understood as concepts of local admissibility. Whenever suitable, we provide linear programming based algorithms for checking optimality/admissibility of acts.","claims":[{"public_id":"cl_0280073af2c3c44149b791f6c5df7fc8","status":"active","text":"Criteria based on generalized expectation intervals construct complete rankings of acts.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_0280073af2c3c44149b791f6c5df7fc8"},{"public_id":"cl_1c020a93832b103f9697d37f64a5ab17","status":"active","text":"Global admissibility constructs partial orders over acts by comparing all acts simultaneously.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_1c020a93832b103f9697d37f64a5ab17"},{"public_id":"cl_c0e6bd497cc07f885ce87fd1aff1a7ac","status":"active","text":"Linear programming based algorithms are provided for checking the optimality or admissibility of acts.","confidence":0.8,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_c0e6bd497cc07f885ce87fd1aff1a7ac"},{"public_id":"cl_0384fefb519a417c6348ebe742c7752b","status":"active","text":"Local admissibility criteria are induced by binary relations on the set of acts.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_0384fefb519a417c6348ebe742c7752b"}],"concepts":[{"public_id":"co_149b057e8174872d8dd89d4fab13504f","status":"active","name":"binary relations on the set of acts","description":"Pairwise comparison relations defined over acts that induce the local admissibility criteria.","types":["mathematical structure"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_149b057e8174872d8dd89d4fab13504f"},{"public_id":"co_1cac2b79809b492acbcccd981c7d3eb5","status":"active","name":"strength of preference","description":"Partial cardinal information indicating how strongly one alternative is preferred over another, beyond mere ordinal ranking.","types":["preference relation"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_1cac2b79809b492acbcccd981c7d3eb5"},{"public_id":"co_44921adba9e6e573830740a53ebc90c9","status":"active","name":"local admissibility","description":"A decision criterion defined via binary relations between pairs of acts rather than by comparing all acts at once.","types":["decision criterion"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_44921adba9e6e573830740a53ebc90c9"},{"public_id":"co_48f57660831f58c8e6e452b3b89aa21d","status":"active","name":"decision making under severe uncertainty","description":"A decision-theoretic setting for choosing among acts when both the decision maker's preferences and the uncertainty about states of nature are only partially known.","types":["research area"],"aliases":["decision making under uncertainty"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_48f57660831f58c8e6e452b3b89aa21d"},{"public_id":"co_7c41c38badfd305e64a9110d3e907cbf","status":"active","name":"global admissibility","description":"A decision criterion that constructs a partial order over acts by simultaneously comparing all acts against one another.","types":["decision criterion"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_7c41c38badfd305e64a9110d3e907cbf"},{"public_id":"co_cd016f67b120ba8d4e10fa06d32abb0f","status":"active","name":"credal set","description":"A set of probability distributions used to represent imprecise or severe uncertainty about the states of nature.","types":["mathematical concept"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_cd016f67b120ba8d4e10fa06d32abb0f"},{"public_id":"co_cdb16372cb5a630e17d7f289218c1302","status":"active","name":"partial rank order","description":"An incomplete ordinal relation specifying which alternatives are ranked above others without fully ordering all alternatives.","types":["preference relation"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_cdb16372cb5a630e17d7f289218c1302"},{"public_id":"co_e3b1b66b4af746d4c40306bb5448a32a","status":"active","name":"acts","description":"The alternatives or courses of action available to the decision maker that are ranked or compared under uncertainty.","types":["decision-theoretic object"],"aliases":["alternatives"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_e3b1b66b4af746d4c40306bb5448a32a"},{"public_id":"co_f562158879a986f4cb2ee9f2061576ea","status":"active","name":"generalized expectation intervals","description":"Interval-valued expectation measures used to construct complete rankings of acts under partial preference and probability information.","types":["method"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_f562158879a986f4cb2ee9f2061576ea"},{"public_id":"co_f5e9d3b48b3b9fddb2f0461922ad062d","status":"active","name":"linear programming based algorithms","description":"Optimization algorithms formulated as linear programs used to check whether acts are optimal or admissible under the proposed criteria.","types":["algorithm"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["review"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_f5e9d3b48b3b9fddb2f0461922ad062d"}],"external_ids":{"DOI":"10.5282/UBM/EPUB.43315","ArXiv":null,"PubMed":null,"PubMedCentral":null,"MAG":2801801856,"DBLP":"conf/isipta/JansenSA17","ACL":null},"open_access":{"is_open_access":true,"pdf_url":"https://epub.ub.uni-muenchen.de/43315/2/tr216.pdf","landing_url":"https://www.semanticscholar.org/paper/9ae892230f4e15bae1f80c76cdd90670f77391ff","source":"semantic_scholar","pdf_url_source":"semantic_scholar_open_access_pdf","license":"other-oa","status":"GREEN","reason":null},"reference_availability":{"status":"available","references_indexed":true,"full_text_available":false,"full_text_source":null,"count_basis":"semantic_scholar_metadata","extraction_status":"not_applicable","reason":null},"source":{"provider":"episteme2","base_corpus":"semantic_scholar_dump","freshness_mode":"unknown","basis":["semantic_scholar_metadata","postgres_metadata"],"limits":["paper metadata is based on indexed upstream scholarly datasets","claims and concepts are available only for extracted papers","absence of claims or concepts means no extracted graph data is available in this response"],"status":"available","degraded":false,"degraded_reasons":[],"diagnostics":{"status":"available","degraded":false,"degraded_reasons":[],"metadata_status":"available","graph_status":"available","abstract_status":"available"},"source_flags":1},"paper_id":631600,"paper_uid":"1718d2c4-df28-46e7-b353-343a49d1dc8c","canonical_identity":{"paper_id":631600,"paper_uid":"1718d2c4-df28-46e7-b353-343a49d1dc8c","identity_status":"available","lookup_basis":"semantic_scholar_external_id","compatibility_path":"corpus_id"},"url":"https://sah.borca.ai/papers/28045621"}