{"id":"https://openalex.org/W1543947996","doi":"https://doi.org/10.3233/ifs-120750","title":"Geometric properties of interval type-II fuzzy regions","display_name":"Geometric properties of interval type-II fuzzy regions","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1543947996","doi":"https://doi.org/10.3233/ifs-120750","mag":"1543947996"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-120750","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-120750","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"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":"Journal of Intelligent & Fuzzy 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/A5020288286","display_name":"Jifa Guo","orcid":"https://orcid.org/0000-0002-8583-3196"},"institutions":[{"id":"https://openalex.org/I15062923","display_name":"Tianjin Normal University","ror":"https://ror.org/05x2td559","country_code":"CN","type":"education","lineage":["https://openalex.org/I15062923"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guo Jifa","raw_affiliation_strings":["College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China","College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China","institution_ids":["https://openalex.org/I15062923"]},{"raw_affiliation_string":"College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China#TAB#","institution_ids":["https://openalex.org/I15062923"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110379013","display_name":"Cui Tiejun","orcid":null},"institutions":[{"id":"https://openalex.org/I15062923","display_name":"Tianjin Normal University","ror":"https://ror.org/05x2td559","country_code":"CN","type":"education","lineage":["https://openalex.org/I15062923"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cui Tiejun","raw_affiliation_strings":["College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China","College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China#TAB#"],"affiliations":[{"raw_affiliation_string":"College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China","institution_ids":["https://openalex.org/I15062923"]},{"raw_affiliation_string":"College of City and Environmental Science, Tianjin Normal University, Xiqing, Tianjin, China#TAB#","institution_ids":["https://openalex.org/I15062923"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020288286"],"corresponding_institution_ids":["https://openalex.org/I15062923"],"apc_list":null,"apc_paid":null,"fwci":0.8734,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.72141204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"2","first_page":"563","last_page":"575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9937999844551086,"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"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9937999844551086,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.992900013923645,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9891999959945679,"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/interval","display_name":"Interval (graph theory)","score":0.6181102395057678},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5953887104988098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4810931384563446},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4725969433784485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35258203744888306},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2162855565547943},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21451300382614136},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07871055603027344}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6181102395057678},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5953887104988098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4810931384563446},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4725969433784485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35258203744888306},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2162855565547943},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21451300382614136},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07871055603027344},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-120750","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-120750","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"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":"Journal of Intelligent & Fuzzy 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":38,"referenced_works":["https://openalex.org/W52488028","https://openalex.org/W1486460878","https://openalex.org/W1544344160","https://openalex.org/W1595877588","https://openalex.org/W1968529011","https://openalex.org/W1978098160","https://openalex.org/W1978475335","https://openalex.org/W1978655323","https://openalex.org/W1985398779","https://openalex.org/W2015177091","https://openalex.org/W2024318607","https://openalex.org/W2026829949","https://openalex.org/W2032450810","https://openalex.org/W2032777428","https://openalex.org/W2032846856","https://openalex.org/W2044328897","https://openalex.org/W2048362437","https://openalex.org/W2050860564","https://openalex.org/W2053347307","https://openalex.org/W2065509836","https://openalex.org/W2071271882","https://openalex.org/W2083131530","https://openalex.org/W2093381264","https://openalex.org/W2095774576","https://openalex.org/W2102233637","https://openalex.org/W2148223612","https://openalex.org/W2150879558","https://openalex.org/W2151564292","https://openalex.org/W2183949169","https://openalex.org/W2363811612","https://openalex.org/W2387310588","https://openalex.org/W2388511003","https://openalex.org/W2389131891","https://openalex.org/W2389916500","https://openalex.org/W2474136013","https://openalex.org/W2598771954","https://openalex.org/W2912565176","https://openalex.org/W3123742724"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694"],"abstract_inverted_index":{"Fuzzy":[0],"geographical":[1,47,114,166,177],"phenomena":[2,17,167],"widely":[3],"exist":[4],"in":[5,71,87,157],"the":[6,37,40,58,91,106,116,121,137,173],"real":[7],"world,":[8],"and":[9,12,25,69,96,120,142,154,164,168],"many":[10],"modeling":[11],"measurement":[13],"methods":[14,26,70,155],"for":[15,172],"such":[16],"have":[18,51],"been":[19],"reported.":[20],"The":[21,152],"most":[22],"common":[23],"models":[24,68],"are":[27,102,150,170],"based":[28,79],"on":[29,80],"type-I":[30],"fuzzy":[31,46,54,76,83,113,148,176],"sets;":[32],"therefore,":[33],"they":[34],"cannot":[35],"measure":[36],"uncertainty":[38,92],"of":[39,60,110,130,145,175],"membership":[41],"value":[42],"or":[43],"describe":[44,105,162],"complicated":[45,163],"phenomena.":[48],"Several":[49],"researchers":[50],"used":[52],"high-order":[53],"theory":[55],"to":[56,94,97,104],"avoid":[57],"limitations":[59],"traditional":[61],"methods;":[62],"however,":[63],"only":[64],"a":[65],"few":[66],"successful":[67],"that":[72],"domain":[73],"exist.":[74],"A":[75],"region":[77],"model":[78],"interval":[81,111,146],"type-II":[82,112,147],"sets":[84],"is":[85],"proposed":[86,103,156],"this":[88,158],"paper,":[89],"considering":[90],"due":[93],"error":[95],"scale":[98],"effects.":[99],"Two":[100],"concepts":[101],"spatial":[107,131],"geometric":[108,117,122,135],"properties":[109],"regions:":[115],"summary":[118],"property":[119],"detailed":[123],"property,":[124],"which":[125],"can":[126,160],"reflect":[127],"different":[128],"aspects":[129],"attributes.":[132],"Next,":[133],"some":[134],"attributes,":[136],"area,":[138],"perimeter,":[139],"height,":[140],"width,":[141],"extrinsic":[143],"diameter,":[144],"regions":[149],"discussed.":[151],"theories":[153],"paper":[159],"objectively":[161],"vague":[165],"thus":[169],"meaningful":[171],"development":[174],"information":[178],"science.":[179]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}