{"id":"https://openalex.org/W2939506404","doi":"https://doi.org/10.3233/jifs-18170","title":"Convexity on fuzzy partially ordered sets","display_name":"Convexity on fuzzy partially ordered sets","publication_year":2019,"publication_date":"2019-04-11","ids":{"openalex":"https://openalex.org/W2939506404","doi":"https://doi.org/10.3233/jifs-18170","mag":"2939506404"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-18170","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18170","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 &amp; 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/A5102798366","display_name":"Hongping Liu","orcid":"https://orcid.org/0000-0001-7381-0926"},"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":true,"raw_author_name":"Hongping Liu","raw_affiliation_strings":["School of Science, Shandong Jianzhu University, Jinan, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Shandong Jianzhu University, Jinan, P.R.China","institution_ids":["https://openalex.org/I44445938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100375590","display_name":"Shuang Wang","orcid":"https://orcid.org/0000-0002-7503-0672"},"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":"Shuang Wang","raw_affiliation_strings":["School of Science, Shandong Jianzhu University, Jinan, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Shandong Jianzhu University, Jinan, P.R.China","institution_ids":["https://openalex.org/I44445938"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102854634","display_name":"Wenping Fan","orcid":"https://orcid.org/0000-0001-7278-966X"},"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":"WenPing Fan","raw_affiliation_strings":["School of Surveying and Geo-Informatics, Shandong Jianzhu University, Jinan, P.R.China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Surveying and Geo-Informatics, Shandong Jianzhu University, Jinan, P.R.China","institution_ids":["https://openalex.org/I44445938"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102798366"],"corresponding_institution_ids":["https://openalex.org/I44445938"],"apc_list":null,"apc_paid":null,"fwci":0.4115,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66723086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"36","issue":"4","first_page":"3607","last_page":"3617"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9976999759674072,"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/mathematics","display_name":"Mathematics","score":0.754833996295929},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.7512192130088806},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.6611800193786621},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6068236231803894},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6029425263404846},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5558274984359741},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.43335139751434326},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.42485934495925903},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4214227795600891},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4171692430973053},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4026246964931488},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4012327194213867},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.22525498270988464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14696213603019714},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06731697916984558},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06115812063217163}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.754833996295929},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7512192130088806},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.6611800193786621},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6068236231803894},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6029425263404846},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5558274984359741},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.43335139751434326},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.42485934495925903},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4214227795600891},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4171692430973053},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4026246964931488},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4012327194213867},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.22525498270988464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14696213603019714},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06731697916984558},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06115812063217163},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-18170","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-18170","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 &amp; 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":40,"referenced_works":["https://openalex.org/W577570849","https://openalex.org/W1525647423","https://openalex.org/W1848984612","https://openalex.org/W1874688798","https://openalex.org/W1967102049","https://openalex.org/W1988233222","https://openalex.org/W2005369043","https://openalex.org/W2007388400","https://openalex.org/W2012299942","https://openalex.org/W2016751782","https://openalex.org/W2022137179","https://openalex.org/W2022473685","https://openalex.org/W2039289912","https://openalex.org/W2052281203","https://openalex.org/W2056206221","https://openalex.org/W2066503383","https://openalex.org/W2074094129","https://openalex.org/W2093397547","https://openalex.org/W2093775920","https://openalex.org/W2095441600","https://openalex.org/W2102476898","https://openalex.org/W2154274300","https://openalex.org/W2158662559","https://openalex.org/W2292733709","https://openalex.org/W2314015870","https://openalex.org/W2506954980","https://openalex.org/W2509332367","https://openalex.org/W2595179099","https://openalex.org/W2606003287","https://openalex.org/W2617047420","https://openalex.org/W2628477660","https://openalex.org/W2628732918","https://openalex.org/W2733623473","https://openalex.org/W2736260084","https://openalex.org/W2737051083","https://openalex.org/W2773177327","https://openalex.org/W4211007335","https://openalex.org/W4235789167","https://openalex.org/W6725454132","https://openalex.org/W6744533620"],"related_works":["https://openalex.org/W2025606465","https://openalex.org/W2007576447","https://openalex.org/W2127355219","https://openalex.org/W3176738824","https://openalex.org/W2356261519","https://openalex.org/W2137493863","https://openalex.org/W2004560909","https://openalex.org/W2379359887","https://openalex.org/W2185500298","https://openalex.org/W3199288759"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,35],"generalize":[4],"a":[5,26,95],"series":[6],"of":[7,64,67,70,77,97],"research":[8],"work":[9],"about":[10],"convexity":[11],"on":[12,43],"classical":[13],"partially":[14,19],"ordered":[15,20],"sets":[16,21,61,69],"to":[17,100],"fuzzy":[18],"(":[22,115,133],"L":[23,38,40,45,51,57,59,71,78,80,86,89,103,107,109,113,116,118,134,136],"-posets).":[24],"Taking":[25],"complete":[27],"Heyting":[28],"algebra":[29],"as":[30,127],"the":[31,56,75,98,130],"truth":[32],"value":[33],"structure,":[34],"propose":[36],"an":[37,44,102,106,112],"-ordered":[39,58,79,108,114],"-convex":[41,52,60,81,110],"structure":[42,121],"-poset":[46],"and":[47,73,132],"give":[48],"its":[49],"corresponding":[50],"hulls.":[53],"We":[54,83],"characterize":[55],"in":[62],"terms":[63],"four":[65],"kinds":[66],"cut":[68],"-subsets,":[72],"discuss":[74,85],"product":[76,131],"sets.":[82],"also":[84],"-convexity-preserving":[87],"(resp.,":[88],"-convex-to-convex)":[90],"mappings.":[91],"After":[92],"that,":[93],"with":[94],"consideration":[96],"degree":[99],"which":[101],"-subset":[104],"is":[105,122],"set,":[111],",":[117,135],")-fuzzy":[119,137],"convex":[120],"introduced.":[123],"The":[124],"properties":[125],"such":[126],"equivalent":[128],"descriptions,":[129],"convexity-preserving":[138],"mappings":[139],"are":[140],"analyzed.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
