{"id":"https://openalex.org/W3196873980","doi":"https://doi.org/10.1016/j.fss.2021.08.023","title":"A novel notion in rough set theory: Invariant subspace","display_name":"A novel notion in rough set theory: Invariant subspace","publication_year":2021,"publication_date":"2021-09-02","ids":{"openalex":"https://openalex.org/W3196873980","doi":"https://doi.org/10.1016/j.fss.2021.08.023","mag":"3196873980"},"language":"en","primary_location":{"id":"doi:10.1016/j.fss.2021.08.023","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2021.08.023","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and 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/A5102008775","display_name":"Gao Qiang","orcid":"https://orcid.org/0000-0001-8716-2325"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Gao","raw_affiliation_strings":["School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, PR China"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, PR China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021692915","display_name":"Liwen Ma","orcid":"https://orcid.org/0000-0002-1338-7801"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liwen Ma","raw_affiliation_strings":["School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, PR China"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, PR China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021692915"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":0.4522,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.68170049,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"440","issue":null,"first_page":"90","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9998999834060669,"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":0.9998999834060669,"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/T10538","display_name":"Data Mining Algorithms and Applications","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9067000150680542,"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/mathematics","display_name":"Mathematics","score":0.864311933517456},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6614363193511963},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.6586117744445801},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6401379704475403},{"id":"https://openalex.org/keywords/invariant-subspace","display_name":"Invariant subspace","score":0.5406678318977356},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48265963792800903},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.4602254033088684},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43464478850364685},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4186047911643982},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4137450158596039},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.38493451476097107},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3220691978931427},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.2547585964202881},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.20509448647499084},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1194780170917511},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09944510459899902}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.864311933517456},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6614363193511963},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.6586117744445801},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6401379704475403},{"id":"https://openalex.org/C2777059694","wikidata":"https://www.wikidata.org/wiki/Q2706744","display_name":"Invariant subspace","level":3,"score":0.5406678318977356},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48265963792800903},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.4602254033088684},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43464478850364685},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4186047911643982},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4137450158596039},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.38493451476097107},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3220691978931427},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.2547585964202881},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.20509448647499084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1194780170917511},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09944510459899902},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.fss.2021.08.023","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.fss.2021.08.023","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1553690","https://openalex.org/W223459940","https://openalex.org/W279998616","https://openalex.org/W1492318454","https://openalex.org/W1523763698","https://openalex.org/W1572785455","https://openalex.org/W1937100093","https://openalex.org/W1994743372","https://openalex.org/W2001504424","https://openalex.org/W2013506227","https://openalex.org/W2018786061","https://openalex.org/W2022130426","https://openalex.org/W2023441160","https://openalex.org/W2024925727","https://openalex.org/W2033857698","https://openalex.org/W2040834628","https://openalex.org/W2041596646","https://openalex.org/W2044758434","https://openalex.org/W2055266411","https://openalex.org/W2056145119","https://openalex.org/W2068203989","https://openalex.org/W2073854011","https://openalex.org/W2082266564","https://openalex.org/W2084066506","https://openalex.org/W2091381737","https://openalex.org/W2112195158","https://openalex.org/W2134866037","https://openalex.org/W2158521650","https://openalex.org/W2214361950","https://openalex.org/W2245233763","https://openalex.org/W2519923875","https://openalex.org/W2737878549","https://openalex.org/W2784007560","https://openalex.org/W2806081539","https://openalex.org/W2806226411","https://openalex.org/W2896620493","https://openalex.org/W2897956358","https://openalex.org/W2899540769","https://openalex.org/W2907669428","https://openalex.org/W2908473781","https://openalex.org/W2911605648","https://openalex.org/W2912565176","https://openalex.org/W2977916169","https://openalex.org/W3036781203","https://openalex.org/W3043140966","https://openalex.org/W3056055686","https://openalex.org/W3107837851","https://openalex.org/W4211007335","https://openalex.org/W4255833381","https://openalex.org/W4285719527","https://openalex.org/W6600062926","https://openalex.org/W6629406463","https://openalex.org/W6631474884","https://openalex.org/W6634343243","https://openalex.org/W6726682396","https://openalex.org/W6741122507","https://openalex.org/W6747808105","https://openalex.org/W6756267130","https://openalex.org/W6780676069"],"related_works":["https://openalex.org/W2132243292","https://openalex.org/W2382975841","https://openalex.org/W2374636872","https://openalex.org/W2388326106","https://openalex.org/W3006763407","https://openalex.org/W2375932290","https://openalex.org/W2018750854","https://openalex.org/W2978519593","https://openalex.org/W2102746356","https://openalex.org/W4390066334"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}