{"id":"https://openalex.org/W3198784186","doi":"https://doi.org/10.1142/s1752890921500161","title":"Uncertain Independent Increment Processes are Contour Processes","display_name":"Uncertain Independent Increment Processes are Contour Processes","publication_year":2021,"publication_date":"2021-09-01","ids":{"openalex":"https://openalex.org/W3198784186","doi":"https://doi.org/10.1142/s1752890921500161","mag":"3198784186"},"language":"en","primary_location":{"id":"doi:10.1142/s1752890921500161","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1752890921500161","pdf_url":null,"source":{"id":"https://openalex.org/S4210199942","display_name":"Journal of Uncertain Systems","issn_l":"1752-8909","issn":["1752-8909","1752-8917"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Uncertain Systems","raw_type":"journal-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/A5101666890","display_name":"Kai Yao","orcid":"https://orcid.org/0000-0002-2040-7380"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kai Yao","raw_affiliation_strings":["School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-2040-7380","affiliations":[{"raw_affiliation_string":"School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, P. R. China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101666890"],"corresponding_institution_ids":["https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":0.2337,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59748914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9726999998092651,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6758275032043457},{"id":"https://openalex.org/keywords/indeterminate","display_name":"Indeterminate","score":0.586365818977356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5568757057189941},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.5305163264274597},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.480520099401474},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4697860777378082},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43782562017440796},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.42380452156066895},{"id":"https://openalex.org/keywords/uncertainty-theory","display_name":"Uncertainty theory","score":0.4102197289466858},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4101805090904236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32519254088401794},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07008746266365051},{"id":"https://openalex.org/keywords/ecology","display_name":"Ecology","score":0.06465417146682739}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6758275032043457},{"id":"https://openalex.org/C94624232","wikidata":"https://www.wikidata.org/wiki/Q3150667","display_name":"Indeterminate","level":2,"score":0.586365818977356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5568757057189941},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5305163264274597},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.480520099401474},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4697860777378082},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43782562017440796},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.42380452156066895},{"id":"https://openalex.org/C51152595","wikidata":"https://www.wikidata.org/wiki/Q7882501","display_name":"Uncertainty theory","level":2,"score":0.4102197289466858},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4101805090904236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32519254088401794},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07008746266365051},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.06465417146682739},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1752890921500161","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1752890921500161","pdf_url":null,"source":{"id":"https://openalex.org/S4210199942","display_name":"Journal of Uncertain Systems","issn_l":"1752-8909","issn":["1752-8909","1752-8917"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Uncertain Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8067537148","display_name":null,"funder_award_id":"61403360","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1779951586","https://openalex.org/W1980208943","https://openalex.org/W1990845486","https://openalex.org/W2009885925","https://openalex.org/W2047409839","https://openalex.org/W2051563587","https://openalex.org/W2054550614","https://openalex.org/W2054864979","https://openalex.org/W2098086552","https://openalex.org/W2129551629","https://openalex.org/W2152380123","https://openalex.org/W2157654536","https://openalex.org/W2163448251","https://openalex.org/W2588587052","https://openalex.org/W3008188153","https://openalex.org/W3009840816","https://openalex.org/W3082291362","https://openalex.org/W4206830167","https://openalex.org/W4234521054","https://openalex.org/W4240000020"],"related_works":["https://openalex.org/W2128679611","https://openalex.org/W2367457082","https://openalex.org/W2070503373","https://openalex.org/W332284284","https://openalex.org/W2381043244","https://openalex.org/W2318651310","https://openalex.org/W2392322089","https://openalex.org/W2435935179","https://openalex.org/W4236494936","https://openalex.org/W2981132463"],"abstract_inverted_index":{"Uncertain":[0],"processes":[1,17,23,50,64],"are":[2,18,57,91,98],"used":[3],"to":[4],"model":[5],"dynamic":[6],"indeterminate":[7],"systems":[8],"associated":[9],"with":[10,24,65],"human":[11],"uncertainty,":[12],"and":[13,81,93],"uncertain":[14,22,26,40,47,63,87],"independent":[15,25,41,48,88],"increment":[16,42,49,89],"a":[19,32,53,60,66],"type":[20,61],"of":[21,39,62,68,85],"increments.":[27],"This":[28],"paper":[29],"mainly":[30],"verifies":[31],"basic":[33],"property":[34],"about":[35],"the":[36,72,78,82],"sample":[37,69],"paths":[38,70],"processes,":[43,59],"which":[44],"states":[45],"that":[46],"defined":[51],"on":[52,75],"continuous":[54],"uncertainty":[55,96],"space":[56],"contour":[58],"spectrum":[67],"as":[71],"skeletons.":[73],"Based":[74],"this":[76],"property,":[77],"extreme":[79],"values":[80],"time":[83],"integral":[84],"an":[86],"process":[90],"investigated,":[92],"their":[94],"inverse":[95],"distributions":[97],"obtained.":[99]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}