{"id":"https://openalex.org/W2165080884","doi":"https://doi.org/10.1007/978-3-540-71441-5_28","title":"Integrating Probability and Quotient Space Theory: Quotient Probability","display_name":"Integrating Probability and Quotient Space Theory: Quotient Probability","publication_year":2007,"publication_date":"2007-07-05","ids":{"openalex":"https://openalex.org/W2165080884","doi":"https://doi.org/10.1007/978-3-540-71441-5_28","mag":"2165080884"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-71441-5_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-71441-5_28","pdf_url":null,"source":{"id":"https://openalex.org/S4210167543","display_name":"Advances in soft computing","issn_l":"1615-3871","issn":["1615-3871","1860-0794"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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":null,"display_name":"Hong-bin Fang","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong-bin Fang","raw_affiliation_strings":["Department of Mathmatics, Anhui University, Hefei 230039, P.R. China, Department of Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Institute of Artifical Intelligence, Anhui University Hefei 230039, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Mathmatics, Anhui University, Hefei 230039, P.R. China, Department of Key Laboratory of Intelligent Computing & Signal Processing of Ministry of Education, Institute of Artifical Intelligence, Anhui University Hefei 230039, P.R. China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17083501,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"252","last_page":"259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/quotient-space","display_name":"Quotient space (topology)","score":0.8550224304199219},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.8275721073150635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7140952348709106},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.7123889327049255},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.6742047071456909},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5594430565834045},{"id":"https://openalex.org/keywords/quotient-algebra","display_name":"Quotient algebra","score":0.5381046533584595},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4561421871185303},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.42499616742134094},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4114639461040497},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.24081072211265564}],"concepts":[{"id":"https://openalex.org/C40753290","wikidata":"https://www.wikidata.org/wiki/Q1139111","display_name":"Quotient space (topology)","level":3,"score":0.8550224304199219},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.8275721073150635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7140952348709106},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.7123889327049255},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.6742047071456909},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5594430565834045},{"id":"https://openalex.org/C51287006","wikidata":"https://www.wikidata.org/wiki/Q63565120","display_name":"Quotient algebra","level":4,"score":0.5381046533584595},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4561421871185303},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.42499616742134094},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4114639461040497},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.24081072211265564},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-71441-5_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-71441-5_28","pdf_url":null,"source":{"id":"https://openalex.org/S4210167543","display_name":"Advances in soft computing","issn_l":"1615-3871","issn":["1615-3871","1860-0794"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W58867887","https://openalex.org/W338632220","https://openalex.org/W1557923305","https://openalex.org/W1586066135","https://openalex.org/W1627703106","https://openalex.org/W1981981644","https://openalex.org/W2008088505","https://openalex.org/W2052608046","https://openalex.org/W2067672491","https://openalex.org/W2087181190","https://openalex.org/W2153676086","https://openalex.org/W2165094119","https://openalex.org/W2189423551","https://openalex.org/W2298168480","https://openalex.org/W2500062327","https://openalex.org/W2912565176","https://openalex.org/W4205739719","https://openalex.org/W4211007335","https://openalex.org/W6602400644","https://openalex.org/W6611553550"],"related_works":["https://openalex.org/W2977467206","https://openalex.org/W2362545535","https://openalex.org/W2621644573","https://openalex.org/W3122722170","https://openalex.org/W4251197167","https://openalex.org/W2593727555","https://openalex.org/W1576779296","https://openalex.org/W4301646023","https://openalex.org/W2388332169","https://openalex.org/W1974325786"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
