{"id":"https://openalex.org/W2156341561","doi":"https://doi.org/10.1109/fskd.2011.6019648","title":"A new model for topological relations between convex regions","display_name":"A new model for topological relations between convex regions","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2156341561","doi":"https://doi.org/10.1109/fskd.2011.6019648","mag":"2156341561"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2011.6019648","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","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/A5103822192","display_name":"Jihong Ouyang","orcid":"https://orcid.org/0000-0001-6151-365X"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jihong Ouyang","raw_affiliation_strings":["Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034370927","display_name":"Ke Ma","orcid":"https://orcid.org/0000-0001-8676-544X"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Ma","raw_affiliation_strings":["Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065744005","display_name":"Ling Ma","orcid":"https://orcid.org/0000-0002-4352-5697"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Ma","raw_affiliation_strings":["Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20830745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":null,"first_page":"1344","last_page":"1348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10757","display_name":"Geographic Information Systems Studies","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6261491775512695},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6176705360412598},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6090337634086609},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.5830825567245483},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5403163433074951},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.49389559030532837},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.47878965735435486},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45468780398368835},{"id":"https://openalex.org/keywords/topological-vector-space","display_name":"Topological vector space","score":0.43614330887794495},{"id":"https://openalex.org/keywords/connected-space","display_name":"Connected space","score":0.41205090284347534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37455588579177856},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26867038011550903},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1631505787372589},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.11238569021224976},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10291209816932678}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6261491775512695},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6176705360412598},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6090337634086609},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.5830825567245483},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5403163433074951},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.49389559030532837},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.47878965735435486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45468780398368835},{"id":"https://openalex.org/C47776270","wikidata":"https://www.wikidata.org/wiki/Q1455249","display_name":"Topological vector space","level":3,"score":0.43614330887794495},{"id":"https://openalex.org/C24977911","wikidata":"https://www.wikidata.org/wiki/Q1491995","display_name":"Connected space","level":3,"score":0.41205090284347534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37455588579177856},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26867038011550903},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1631505787372589},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.11238569021224976},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10291209816932678},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2011.6019648","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019648","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1482327797","https://openalex.org/W1523444764","https://openalex.org/W1525830615","https://openalex.org/W1555296323","https://openalex.org/W1562214614","https://openalex.org/W1563428815","https://openalex.org/W1586773043","https://openalex.org/W1603473069","https://openalex.org/W1871668702","https://openalex.org/W1874955796","https://openalex.org/W1970959758","https://openalex.org/W1989436473","https://openalex.org/W2014590262","https://openalex.org/W2016033687","https://openalex.org/W2038647915","https://openalex.org/W2042800588","https://openalex.org/W2054275301","https://openalex.org/W2133039566","https://openalex.org/W4244370458","https://openalex.org/W4285719527","https://openalex.org/W6631534027","https://openalex.org/W6632980656","https://openalex.org/W6633696329","https://openalex.org/W6639212289","https://openalex.org/W6639430512","https://openalex.org/W6653844587"],"related_works":["https://openalex.org/W3022742563","https://openalex.org/W3119339959","https://openalex.org/W4286361356","https://openalex.org/W113867295","https://openalex.org/W3132749295","https://openalex.org/W4220945837","https://openalex.org/W3175418542","https://openalex.org/W2381432279","https://openalex.org/W2200304937","https://openalex.org/W2372787733"],"abstract_inverted_index":{"Topological":[0],"relations":[1,19,48,63,94],"between":[2,49,64],"spatial":[3,10],"objects":[4],"have":[5,20],"played":[6],"important":[7],"roles":[8],"in":[9],"representing":[11,61],"and":[12,29,80],"reasoning.":[13],"Various":[14],"models":[15],"for":[16,60],"expressing":[17],"topological":[18,36,47,62,73,93,110],"been":[21],"put":[22],"forward.":[23],"The":[24],"Region":[25],"Connection":[26],"Calculus":[27],"(RCC)":[28],"9-Intersection":[30],"Method":[31],"(9IM)":[32],"are":[33],"most":[34],"well-known":[35],"formalisms,":[37],"but":[38],"neither":[39],"of":[40,46,75,77,92,102,113],"them":[41],"can":[42],"characterize":[43],"the":[44,72,100,108],"characteristic":[45],"convex":[50,66],"regions.":[51],"In":[52],"this":[53],"paper,":[54],"we":[55,87],"introduce":[56],"a":[57,89],"new":[58],"model":[59,84],"two":[65],"plane":[67],"regions,":[68],"which":[69,95],"characterized":[70],"with":[71],"properties":[74],"details":[76],"region":[78],"A":[79],"B.":[81],"Applying":[82],"our":[83],"to":[85],"triangles,":[86],"obtain":[88],"complete":[90],"classification":[91],"called":[96],"RCC32.":[97],"By":[98],"calculating":[99],"cost":[101],"transforming":[103],"one":[104],"relation":[105,111],"into":[106],"another,":[107],"closest":[109],"graph":[112],"RCC32":[114],"is":[115],"given.":[116]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
