{"id":"https://openalex.org/W3046381476","doi":"https://doi.org/10.3233/fi-2020-1937","title":"Minimal Base for Finite Topological Space by Matrix Method","display_name":"Minimal Base for Finite Topological Space by Matrix Method","publication_year":2020,"publication_date":"2020-07-30","ids":{"openalex":"https://openalex.org/W3046381476","doi":"https://doi.org/10.3233/fi-2020-1937","mag":"3046381476"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2020-1937","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2020-1937","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5041059015","display_name":"Yidong Lin","orcid":"https://orcid.org/0000-0001-7552-5555"},"institutions":[{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yidong Lin","raw_affiliation_strings":["School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361000, China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100657117","display_name":"Jinjin Li","orcid":"https://orcid.org/0000-0001-9947-6858"},"institutions":[{"id":"https://openalex.org/I9356336","display_name":"Minnan Normal University","ror":"https://ror.org/02vj1vm13","country_code":"CN","type":"education","lineage":["https://openalex.org/I9356336"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jinjin Li","raw_affiliation_strings":["Department of Mathematics and Statistics, Minnan Normal University, Zhangzhou, 363000, Fujian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Minnan Normal University, Zhangzhou, 363000, Fujian, China","institution_ids":["https://openalex.org/I9356336"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086236273","display_name":"Liang-Xue Peng","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liangxue Peng","raw_affiliation_strings":["College of Applied Science, Beijing University of Technology, Beijing 100124, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Applied Science, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102818527","display_name":"Ziqin Feng","orcid":"https://orcid.org/0000-0003-4385-3380"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ziqin Feng","raw_affiliation_strings":["Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849, USA","Journal:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Journal:","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100657117"],"corresponding_institution_ids":["https://openalex.org/I9356336"],"apc_list":null,"apc_paid":null,"fwci":0.1268,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51792796,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"174","issue":"2","first_page":"167","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9401000142097473,"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":0.9401000142097473,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.753165602684021},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6984355449676514},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5817514657974243},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.568717360496521},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.5568874478340149},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4968748390674591},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4607587456703186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30726221203804016},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2718397378921509},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2482343316078186},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1403149962425232},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07960700988769531}],"concepts":[{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.753165602684021},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6984355449676514},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5817514657974243},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.568717360496521},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.5568874478340149},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4968748390674591},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4607587456703186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30726221203804016},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2718397378921509},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2482343316078186},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1403149962425232},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07960700988769531},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2020-1937","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2020-1937","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W3134658850","https://openalex.org/W2355938171","https://openalex.org/W2780079842","https://openalex.org/W814988660"],"abstract_inverted_index":{"Topological":[0],"base":[1,55,79],"plays":[2],"a":[3,39,87,95],"foundational":[4],"role":[5],"in":[6],"topology":[7],"theory.":[8],"However,":[9],"few":[10],"works":[11],"have":[12],"been":[13],"done":[14],"to":[15,25,41,59,77,106],"find":[16],"the":[17,27,43,60,67,78,108,111],"minimal":[18,54],"base,":[19],"which":[20,92],"would":[21],"make":[22],"us":[23],"difficult":[24],"interpret":[26],"internal":[28],"structure":[29],"of":[30,53,97,113],"topological":[31,45,70],"spaces.":[32],"To":[33],"address":[34],"this":[35],"issue,":[36],"we":[37],"provide":[38],"method":[40],"convert":[42],"finite":[44],"space":[46,71],"into":[47],"Boolean":[48,84],"matrix":[49],"and":[50,72,110],"some":[51,101],"properties":[52],"are":[56,104],"investigated.":[57],"According":[58],"properties,":[61],"an":[62],"algorithm(URMB)":[63],"is":[64,80,90],"proposed.":[65],"Subsequently,":[66],"relationship":[68],"between":[69],"its":[73],"sub-space":[74],"with":[75,116],"respect":[76],"concentrated":[81],"on":[82],"by":[83],"matrix.":[85],"Then,":[86],"fast":[88],"algorithm(MMB)":[89],"presented,":[91],"can":[93],"avoid":[94],"mass":[96],"redundant":[98],"computations.":[99],"Finally,":[100],"numerical":[102],"experiments":[103],"given":[105],"show":[107],"advantage":[109],"effectiveness":[112],"MMB":[114],"compared":[115],"URMB.":[117]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}