{"id":"https://openalex.org/W2049820463","doi":"https://doi.org/10.1109/grc.2012.6468618","title":"Evidence approximation algorithm based on focal element similarity","display_name":"Evidence approximation algorithm based on focal element similarity","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W2049820463","doi":"https://doi.org/10.1109/grc.2012.6468618","mag":"2049820463"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2012.6468618","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468618","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","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/A5043746020","display_name":"Jun Xie","orcid":"https://orcid.org/0000-0003-0168-3360"},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Xie","raw_affiliation_strings":["College of Mathematics and informatics, Jiangxi normal university, Nanchang, China","College of Mathematics and informatics, Jiangxi normal university, Nan Chang, China#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and informatics, Jiangxi normal university, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"College of Mathematics and informatics, Jiangxi normal university, Nan Chang, China#TAB#","institution_ids":["https://openalex.org/I53592917"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102100851","display_name":"WU Gen-xiu","orcid":null},"institutions":[{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Genxiu Wu","raw_affiliation_strings":["College of Mathematics and informatics, Jiangxi normal university, Nanchang, China","College of Mathematics and informatics, Jiangxi normal university, Nan Chang, China#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and informatics, Jiangxi normal university, Nanchang, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"College of Mathematics and informatics, Jiangxi normal university, Nan Chang, China#TAB#","institution_ids":["https://openalex.org/I53592917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043746020"],"corresponding_institution_ids":["https://openalex.org/I53592917"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11817197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":null,"first_page":"727","last_page":"729"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9919000267982483,"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":0.9919000267982483,"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/T13282","display_name":"Automated Road and Building Extraction","score":0.958899974822998,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9496999979019165,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/focal-point","display_name":"Focal point","score":0.7518647313117981},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.7175794839859009},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6710819005966187},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6177687048912048},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5940274596214294},{"id":"https://openalex.org/keywords/cardinal-point","display_name":"Cardinal point","score":0.5602627396583557},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.526123046875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5003352165222168},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.47069764137268066},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4470491111278534},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.42505767941474915},{"id":"https://openalex.org/keywords/focal-length","display_name":"Focal length","score":0.42066097259521484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3527868986129761},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22853291034698486},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.20298823714256287},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08318588137626648},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07918038964271545},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06390619277954102},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.059929341077804565}],"concepts":[{"id":"https://openalex.org/C2779433544","wikidata":"https://www.wikidata.org/wiki/Q1435226","display_name":"Focal point","level":3,"score":0.7518647313117981},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.7175794839859009},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6710819005966187},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6177687048912048},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5940274596214294},{"id":"https://openalex.org/C138395690","wikidata":"https://www.wikidata.org/wiki/Q376733","display_name":"Cardinal point","level":2,"score":0.5602627396583557},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.526123046875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5003352165222168},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.47069764137268066},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4470491111278534},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.42505767941474915},{"id":"https://openalex.org/C82552819","wikidata":"https://www.wikidata.org/wiki/Q193540","display_name":"Focal length","level":3,"score":0.42066097259521484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3527868986129761},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22853291034698486},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.20298823714256287},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08318588137626648},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07918038964271545},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06390619277954102},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.059929341077804565},{"id":"https://openalex.org/C15336307","wikidata":"https://www.wikidata.org/wiki/Q1766051","display_name":"Lens (geology)","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2012.6468618","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468618","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","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":8,"referenced_works":["https://openalex.org/W1579343146","https://openalex.org/W2012821550","https://openalex.org/W2162909328","https://openalex.org/W2351127581","https://openalex.org/W2383574402","https://openalex.org/W6634498038","https://openalex.org/W6710557001","https://openalex.org/W7019650309"],"related_works":["https://openalex.org/W2165626750","https://openalex.org/W1995450202","https://openalex.org/W1561540747","https://openalex.org/W3215565456","https://openalex.org/W4253777681","https://openalex.org/W2159501355","https://openalex.org/W2384845099","https://openalex.org/W2026494525","https://openalex.org/W2056516058","https://openalex.org/W2050390402"],"abstract_inverted_index":{"The":[0,94],"computational":[1,49],"complexity":[2],"of":[3,15,30,34,39,48,67,98],"traditional":[4],"Dempster-Shafer":[5],"combination":[6],"rule":[7,23],"will":[8,91,102],"be":[9,92,103],"increased":[10],"dramatically":[11],"when":[12],"the":[13,22,28,32,46,56,68,78,85,87,106,115],"number":[14,33],"focal":[16,35,89,100,108],"element":[17,90],"has":[18],"increased,":[19],"which":[20],"limits":[21],"widely":[24],"being":[25],"applied.":[26],"From":[27],"point":[29],"reducing":[31],"element,":[36],"a":[37,65,72],"kind":[38],"improved":[40,116],"algorithm":[41,117],"is":[42,53,82,118],"proposed":[43],"to":[44,105],"solve":[45],"problem":[47],"complexity.":[50],"This":[51],"paper":[52],"based":[54],"on":[55],"average":[57],"mass":[58,69],"value.":[59],"Standard":[60],"deviation":[61],"was":[62,74],"viewed":[63],"as":[64],"fluctuation":[66],"value,":[70],"then":[71],"threshold":[73],"set":[75],"up.":[76],"When":[77],"basic":[79,95],"probability":[80,96],"assignment":[81,97],"less":[83],"than":[84],"threshold,":[86],"corresponding":[88],"deleted.":[93],"deleted":[99],"elements":[101],"reassigned":[104],"retaining":[107],"elements.":[109],"Finally,":[110],"three":[111],"examples":[112],"shows":[113],"that":[114],"effective":[119],"and":[120],"valid":[121],"by":[122],"comparing":[123],"with":[124],"other":[125],"approximation":[126],"algorithms.":[127]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}