{"id":"https://openalex.org/W2021500131","doi":"https://doi.org/10.1109/ncm.2009.231","title":"The Uncertainty Mathematical Methods of Economic Analysis","display_name":"The Uncertainty Mathematical Methods of Economic Analysis","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2021500131","doi":"https://doi.org/10.1109/ncm.2009.231","mag":"2021500131"},"language":"en","primary_location":{"id":"doi:10.1109/ncm.2009.231","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ncm.2009.231","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Fifth International Joint Conference on INC, IMS and IDC","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072402726","display_name":"Limin Mi","orcid":"https://orcid.org/0000-0002-8204-4108"},"institutions":[{"id":"https://openalex.org/I113992204","display_name":"Hebei University of Economics and Business","ror":"https://ror.org/05j1kc284","country_code":"CN","type":"education","lineage":["https://openalex.org/I113992204"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Limin Mi","raw_affiliation_strings":["Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhang, China","institution_ids":["https://openalex.org/I113992204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038110449","display_name":"Yuanxing Liu","orcid":"https://orcid.org/0000-0002-9991-4480"},"institutions":[{"id":"https://openalex.org/I113992204","display_name":"Hebei University of Economics and Business","ror":"https://ror.org/05j1kc284","country_code":"CN","type":"education","lineage":["https://openalex.org/I113992204"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuanxing Liu","raw_affiliation_strings":["Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sch. of Math. & Stat., Hebei Univ. of Econ. & Bus., Shijiazhang, China","institution_ids":["https://openalex.org/I113992204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09475393,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1118","last_page":"1122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14368","display_name":"Evaluation and Optimization Models","score":0.7440999746322632,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14368","display_name":"Evaluation and Optimization Models","score":0.7440999746322632,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13832","display_name":"Advanced Decision-Making Techniques","score":0.7196000218391418,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/economic-analysis","display_name":"Economic analysis","score":0.6454564929008484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6270334720611572},{"id":"https://openalex.org/keywords/uncertainty-analysis","display_name":"Uncertainty analysis","score":0.48058366775512695},{"id":"https://openalex.org/keywords/management-science","display_name":"Management science","score":0.4228362441062927},{"id":"https://openalex.org/keywords/risk-analysis","display_name":"Risk analysis (engineering)","score":0.348882794380188},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1654379665851593},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1570654809474945},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.11566469073295593},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.09538012742996216},{"id":"https://openalex.org/keywords/classical-economics","display_name":"Classical economics","score":0.07081404328346252}],"concepts":[{"id":"https://openalex.org/C2985697011","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economic analysis","level":2,"score":0.6454564929008484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6270334720611572},{"id":"https://openalex.org/C177803969","wikidata":"https://www.wikidata.org/wiki/Q29205","display_name":"Uncertainty analysis","level":2,"score":0.48058366775512695},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.4228362441062927},{"id":"https://openalex.org/C112930515","wikidata":"https://www.wikidata.org/wiki/Q4389547","display_name":"Risk analysis (engineering)","level":1,"score":0.348882794380188},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1654379665851593},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1570654809474945},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.11566469073295593},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.09538012742996216},{"id":"https://openalex.org/C167562979","wikidata":"https://www.wikidata.org/wiki/Q271857","display_name":"Classical economics","level":1,"score":0.07081404328346252}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ncm.2009.231","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ncm.2009.231","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Fifth International Joint Conference on INC, IMS and IDC","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4387497383","https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W2748952813","https://openalex.org/W1531601525"],"abstract_inverted_index":{"This":[0],"paper":[1],"analyzed":[2],"uncertainty":[3],"of":[4,15],"economic":[5],"System,":[6],"and":[7,12],"expounded":[8],"the":[9],"basic":[10],"principles":[11],"a":[13],"group":[14],"methods.":[16]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}