{"id":"https://openalex.org/W2076975804","doi":"https://doi.org/10.1109/fskd.2010.5569683","title":"Notes for rough derivatives and rough continuity in rough function model","display_name":"Notes for rough derivatives and rough continuity in rough function model","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2076975804","doi":"https://doi.org/10.1109/fskd.2010.5569683","mag":"2076975804"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2010.5569683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569683","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","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/A5035479520","display_name":"Yun Wang","orcid":"https://orcid.org/0000-0002-9002-6743"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yun Wang","raw_affiliation_strings":["School of Science, University of Ji''nan, Jinan, Shandong, China","School of Science, University of Jinan, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Science, University of Ji''nan, Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]},{"raw_affiliation_string":"School of Science, University of Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102100381","display_name":"Xiaojing Xu","orcid":"https://orcid.org/0000-0002-5974-5619"},"institutions":[{"id":"https://openalex.org/I44445938","display_name":"Shandong Jianzhu University","ror":"https://ror.org/01gbfax37","country_code":"CN","type":"education","lineage":["https://openalex.org/I44445938"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojing Xu","raw_affiliation_strings":["School of Computer Science & Technology, Shandong Jianzhu University, Jinan, Shandong, China","School of Computer Science and Technology Shandong Jianzhu University  Jinan China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science & Technology, Shandong Jianzhu University, Jinan, Shandong, China","institution_ids":["https://openalex.org/I44445938"]},{"raw_affiliation_string":"School of Computer Science and Technology Shandong Jianzhu University  Jinan China","institution_ids":["https://openalex.org/I44445938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010952913","display_name":"Zhaoxia Yu","orcid":"https://orcid.org/0000-0001-9700-1795"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhaoxia Yu","raw_affiliation_strings":["School of Science, University of Ji''nan, Jinan, Shandong, China","School of Science, University of Jinan, Shandong, China"],"affiliations":[{"raw_affiliation_string":"School of Science, University of Ji''nan, Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]},{"raw_affiliation_string":"School of Science, University of Jinan, Shandong, China","institution_ids":["https://openalex.org/I34949971"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035479520"],"corresponding_institution_ids":["https://openalex.org/I34949971"],"apc_list":null,"apc_paid":null,"fwci":1.0408,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76439791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"355","issue":null,"first_page":"245","last_page":"247"},"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/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9588000178337097,"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"}},{"id":"https://openalex.org/T10538","display_name":"Data Mining Algorithms and Applications","score":0.946399986743927,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.8755278587341309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6738889217376709},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5302509665489197},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4604767858982086},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.337056040763855},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3217829465866089},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19074904918670654},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1812971830368042}],"concepts":[{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.8755278587341309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6738889217376709},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5302509665489197},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4604767858982086},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.337056040763855},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3217829465866089},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19074904918670654},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1812971830368042},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2010.5569683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2010.5569683","pdf_url":null,"source":{"id":"https://openalex.org/S4363608217","display_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W206046346","https://openalex.org/W1586066135","https://openalex.org/W1793776257","https://openalex.org/W1858488419","https://openalex.org/W1963626514","https://openalex.org/W2111914978","https://openalex.org/W2143040521","https://openalex.org/W2143451122","https://openalex.org/W2152273236","https://openalex.org/W2157615210","https://openalex.org/W2162201525","https://openalex.org/W2168491555","https://openalex.org/W2340020088","https://openalex.org/W2348826011","https://openalex.org/W2359571647","https://openalex.org/W2367807945","https://openalex.org/W2570343052","https://openalex.org/W3140792067","https://openalex.org/W4255833381","https://openalex.org/W4285719527","https://openalex.org/W6600684699","https://openalex.org/W6608453986","https://openalex.org/W6638243179","https://openalex.org/W7046665778"],"related_works":["https://openalex.org/W2392963705","https://openalex.org/W2107349454","https://openalex.org/W2382278777","https://openalex.org/W2353240132","https://openalex.org/W1587347718","https://openalex.org/W2375932290","https://openalex.org/W1964260090","https://openalex.org/W1486178390","https://openalex.org/W138553499","https://openalex.org/W2167403502"],"abstract_inverted_index":{"In":[0],"the":[1,49,56,65,83,86,90,111,124],"scheme":[2],"of":[3,10,29,42,52,67,76,89,97,110,126,149],"Pawlak":[4,98],"rough":[5,23,44,59,74,80,91,99,112,127,130,133,150],"derivatives":[6,45,128],"theory,":[7,55],"functional":[8],"features":[9],"roughly":[11,17,35],"derived":[12,18,36],"functions":[13,19,37,78],"and":[14,32,70,93,122,129,146],"higher":[15,33,57],"order":[16,31,34,58],"are":[20,38,114],"directed":[21],"in":[22,40,79,118,132],"function":[24,81,134,151],"model.":[25,152],"The":[26,116],"valuing":[27],"laws":[28],"first":[30],"given":[39],"form":[41],"a":[43],"table.":[46],"According":[47],"to":[48],"difference":[50],"principle":[51],"numerical":[53],"analysis":[54],"derivative":[60],"formula":[61],"is":[62,101,104],"verified":[63],"by":[64],"notions":[66],"unit":[68],"mapping":[69],"identity":[71],"mapping.":[72],"On":[73],"continuity":[75,92,100,113,131],"discrete":[77],"model,":[82,135],"relationship":[84],"among":[85],"\u03b5-\u03b4":[87],"definition":[88],"two":[94],"other":[95],"concepts":[96],"analyzed.":[102],"It":[103],"proved":[105],"that":[106],"these":[107],"different":[108],"definitions":[109],"equivalent.":[115],"investigation":[117],"this":[119],"article":[120],"complements":[121],"develops":[123],"theory":[125],"which":[136],"may":[137],"provide":[138],"dependable":[139],"theoretical":[140],"foundations":[141],"for":[142],"further":[143],"properties":[144],"discussions":[145],"practical":[147],"applications":[148]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}