{"id":"https://openalex.org/W2041446580","doi":"https://doi.org/10.1109/grc.2005.1547248","title":"Generalizing quotient space theory from structural viewpoint","display_name":"Generalizing quotient space theory from structural viewpoint","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2041446580","doi":"https://doi.org/10.1109/grc.2005.1547248","mag":"2041446580"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2005.1547248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2005.1547248","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 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/A5111205696","display_name":"W.L. Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I184681353","display_name":"Anhui University of Science and Technology","ror":"https://ror.org/00q9atg80","country_code":"CN","type":"education","lineage":["https://openalex.org/I184681353"]},{"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":"W.L. Chen","raw_affiliation_strings":["Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University of Science and Technology, Hefei, Anhui, China","Key Lab. of Intelligent Comput. & Signal Process., Anhui Univ., Hefei, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I184681353"]},{"raw_affiliation_string":"Key Lab. of Intelligent Comput. & Signal Process., Anhui Univ., Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111729404","display_name":"Jia Xing Cheng","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"]},{"id":"https://openalex.org/I184681353","display_name":"Anhui University of Science and Technology","ror":"https://ror.org/00q9atg80","country_code":"CN","type":"education","lineage":["https://openalex.org/I184681353"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"J.X. Cheng","raw_affiliation_strings":["Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University of Science and Technology, Hefei, Anhui, China","Key Lab. of Intelligent Comput. & Signal Process., Anhui Univ., Hefei, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University of Science and Technology, Hefei, Anhui, China","institution_ids":["https://openalex.org/I184681353"]},{"raw_affiliation_string":"Key Lab. of Intelligent Comput. & Signal Process., Anhui Univ., Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111205696"],"corresponding_institution_ids":["https://openalex.org/I143868143","https://openalex.org/I184681353"],"apc_list":null,"apc_paid":null,"fwci":0.3514,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60317142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":null,"first_page":"121","last_page":"124 Vol. 1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998000264167786,"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":0.9998000264167786,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.9950000047683716,"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"}},{"id":"https://openalex.org/T14392","display_name":"Geoscience and Mining Technology","score":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quotient-space","display_name":"Quotient space (topology)","score":0.8548752069473267},{"id":"https://openalex.org/keywords/intension","display_name":"Intension","score":0.7471650838851929},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.7316179275512695},{"id":"https://openalex.org/keywords/granular-computing","display_name":"Granular computing","score":0.6856769323348999},{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.6617006659507751},{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6524180769920349},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5753715634346008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5640121698379517},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4572219252586365},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45325711369514465},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41966167092323303},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40733179450035095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3227444291114807},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.27944621443748474},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14238017797470093}],"concepts":[{"id":"https://openalex.org/C40753290","wikidata":"https://www.wikidata.org/wiki/Q1139111","display_name":"Quotient space (topology)","level":3,"score":0.8548752069473267},{"id":"https://openalex.org/C61341680","wikidata":"https://www.wikidata.org/wiki/Q1923256","display_name":"Intension","level":2,"score":0.7471650838851929},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.7316179275512695},{"id":"https://openalex.org/C17209119","wikidata":"https://www.wikidata.org/wiki/Q5596712","display_name":"Granular computing","level":3,"score":0.6856769323348999},{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.6617006659507751},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6524180769920349},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5753715634346008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5640121698379517},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4572219252586365},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45325711369514465},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41966167092323303},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40733179450035095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3227444291114807},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.27944621443748474},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14238017797470093},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2005.1547248","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2005.1547248","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6499999761581421,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1557923305","https://openalex.org/W1566420918","https://openalex.org/W1969669546","https://openalex.org/W2052608046","https://openalex.org/W2147293185","https://openalex.org/W2153676086","https://openalex.org/W4239045871","https://openalex.org/W6634061534","https://openalex.org/W6681654497"],"related_works":["https://openalex.org/W1795409297","https://openalex.org/W2013421631","https://openalex.org/W2282249876","https://openalex.org/W2907231604","https://openalex.org/W2765911721","https://openalex.org/W3091858790","https://openalex.org/W100503824","https://openalex.org/W2264129129","https://openalex.org/W2922513649","https://openalex.org/W1794512976"],"abstract_inverted_index":{"Quotient":[0],"space":[1,67],"theory":[2,68],"of":[3,9,29,36,42,49,61,63],"problem":[4],"solving,":[5],"a":[6],"formal":[7],"model":[8],"granular":[10,30,50],"computing,":[11,31],"is":[12,20],"generalized":[13],"in":[14,54],"the":[15,34,47,64],"sense":[16],"that":[17,59],"topological":[18],"structure":[19],"replaced":[21],"by":[22],"Cech's":[23],"closure":[24],"space.":[25],"Some":[26],"basic":[27],"issues":[28],"such":[32],"as":[33],"representation":[35],"real":[37],"world":[38],"at":[39],"different":[40],"levels":[41],"granularity,":[43],"property":[44],"preserving":[45],"and":[46,74,79],"construction":[48],"world,":[51],"are":[52,77],"discussed":[53],"detail.":[55],"It":[56],"turns":[57],"out":[58],"most":[60],"conclusions":[62],"classical":[65],"quotient":[66],"keep":[69],"being":[70],"valid,":[71],"so":[72],"intension":[73],"applicable":[75],"fields":[76],"enriched":[78],"enlarged":[80],"respectively.":[81]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
