{"id":"https://openalex.org/W2259673070","doi":"https://doi.org/10.1007/978-3-319-25754-9_18","title":"Rough Sets and Textural Neighbourhoods","display_name":"Rough Sets and Textural Neighbourhoods","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2259673070","doi":"https://doi.org/10.1007/978-3-319-25754-9_18","mag":"2259673070"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-25754-9_18","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-25754-9_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-319-25754-9_18","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084448464","display_name":"Murat Diker","orcid":"https://orcid.org/0000-0002-6542-2170"},"institutions":[{"id":"https://openalex.org/I66514158","display_name":"Hacettepe University","ror":"https://ror.org/04kwvgz42","country_code":"TR","type":"education","lineage":["https://openalex.org/I66514158"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Murat Diker","raw_affiliation_strings":["Department of Mathematics, Hacettepe University, Beytepe, 06532, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hacettepe University, Beytepe, 06532, Ankara, Turkey","institution_ids":["https://openalex.org/I66514158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046098458","display_name":"Ay\u015feg\u00fcl Altay U\u011fur","orcid":null},"institutions":[{"id":"https://openalex.org/I66514158","display_name":"Hacettepe University","ror":"https://ror.org/04kwvgz42","country_code":"TR","type":"education","lineage":["https://openalex.org/I66514158"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ay\u015feg\u00fcl Altay U\u011fur","raw_affiliation_strings":["Department of Secondary Science and Mathematics Education, Hacettepe University, Beytepe, 06532, Ankara, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Secondary Science and Mathematics Education, Hacettepe University, Beytepe, 06532, Ankara, Turkey","institution_ids":["https://openalex.org/I66514158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023197864","display_name":"Sad\u0131k Bayhan","orcid":"https://orcid.org/0000-0001-6100-3086"},"institutions":[{"id":"https://openalex.org/I54515432","display_name":"Burdur Mehmet Akif Ersoy \u00dcniversitesi","ror":"https://ror.org/04xk0dc21","country_code":"TR","type":"education","lineage":["https://openalex.org/I54515432"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Sad\u0131k Bayhan","raw_affiliation_strings":["Department of Mathematics, Mehmet Akif Ersoy University, \u0130stiklal Campus, 15030, Burdur, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mehmet Akif Ersoy University, \u0130stiklal Campus, 15030, Burdur, Turkey","institution_ids":["https://openalex.org/I54515432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084448464"],"corresponding_institution_ids":["https://openalex.org/I66514158"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":2.1279,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87118809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"202","last_page":"213"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9602000117301941,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9556999802589417,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.8024133443832397},{"id":"https://openalex.org/keywords/successor-cardinal","display_name":"Successor cardinal","score":0.7659040093421936},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.7294827103614807},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5100937485694885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45504844188690186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42091917991638184},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.317004919052124},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1321277916431427},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12041807174682617}],"concepts":[{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.8024133443832397},{"id":"https://openalex.org/C75306776","wikidata":"https://www.wikidata.org/wiki/Q7632662","display_name":"Successor cardinal","level":2,"score":0.7659040093421936},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.7294827103614807},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5100937485694885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45504844188690186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42091917991638184},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.317004919052124},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1321277916431427},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12041807174682617}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-25754-9_18","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-25754-9_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-319-25754-9_18","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-25754-9_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W171600348","https://openalex.org/W221924214","https://openalex.org/W259911591","https://openalex.org/W1553701556","https://openalex.org/W1969651818","https://openalex.org/W1997406036","https://openalex.org/W2009352785","https://openalex.org/W2023441160","https://openalex.org/W2024280664","https://openalex.org/W2033324235","https://openalex.org/W2035207710","https://openalex.org/W2089255457","https://openalex.org/W2095290023","https://openalex.org/W2121423327","https://openalex.org/W2156549203","https://openalex.org/W2165167495","https://openalex.org/W2165267798","https://openalex.org/W4255833381"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2473542051","https://openalex.org/W3123320268","https://openalex.org/W2994519609","https://openalex.org/W2726593096","https://openalex.org/W2054269721","https://openalex.org/W4235459050","https://openalex.org/W2767501615","https://openalex.org/W2390822611","https://openalex.org/W2908217413"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3,18,59],"discuss":[4],"the":[5,21,39,62,70,76],"neighbourhoods":[6],"and":[7,12,29,47],"approximation":[8],"operators":[9,37],"using":[10],"p-sets":[11],"q-sets":[13],"of":[14,23,34,41,52,65],"a":[15,24,42],"texture.":[16],"Here,":[17],"show":[19],"that":[20,61],"presections":[22],"direlation":[25,43],"correspond":[26,44],"to":[27,45],"lower":[28,46],"upper":[30,48],"approximations":[31,49],"in":[32,50],"terms":[33,51],"successor":[35],"neighbourhood":[36,54],"while":[38],"sections":[40],"predecessor":[53],"operators.":[55],"For":[56],"discrete":[57],"textures,":[58],"observe":[60],"weak":[63],"forms":[64],"definabilities":[66],"are":[67,78],"preserved":[68],"under":[69],"relation":[71,80],"preserving":[72],"bijective":[73],"functions":[74],"where":[75],"inverses":[77],"also":[79],"preserving.":[81]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}