{"id":"https://openalex.org/W2569390795","doi":"https://doi.org/10.1109/tfuzz.2017.2648864","title":"Some Results of the Fuzzy Relation Inequalities With Addition\u2013Min Composition","display_name":"Some Results of the Fuzzy Relation Inequalities With Addition\u2013Min Composition","publication_year":2017,"publication_date":"2017-01-05","ids":{"openalex":"https://openalex.org/W2569390795","doi":"https://doi.org/10.1109/tfuzz.2017.2648864","mag":"2569390795"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2017.2648864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2017.2648864","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on 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/A5077775634","display_name":"Shaojun Yang","orcid":"https://orcid.org/0000-0001-8934-5598"},"institutions":[{"id":"https://openalex.org/I111753288","display_name":"Fujian Normal University","ror":"https://ror.org/020azk594","country_code":"CN","type":"education","lineage":["https://openalex.org/I111753288"]},{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shao-Jun Yang","raw_affiliation_strings":["Fujian Provincial Key Laboratory of Network Security and Cryptology, School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian, China","State Key Laboratory of Integrated Services Networks, Xidian University, China"],"raw_orcid":"https://orcid.org/0000-0001-8934-5598","affiliations":[{"raw_affiliation_string":"Fujian Provincial Key Laboratory of Network Security and Cryptology, School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian, China","institution_ids":["https://openalex.org/I111753288"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077775634"],"corresponding_institution_ids":["https://openalex.org/I111753288","https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":1.6628,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.87626279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"1","first_page":"239","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9925000071525574,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7658783197402954},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.7511211633682251},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6094919443130493},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5587385296821594},{"id":"https://openalex.org/keywords/composition","display_name":"Composition (language)","score":0.5482672452926636},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.48796409368515015},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47947797179222107},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46966230869293213},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.42449912428855896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21304872632026672},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21221625804901123},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1284681260585785},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12021046876907349}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7658783197402954},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.7511211633682251},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6094919443130493},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5587385296821594},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.5482672452926636},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.48796409368515015},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47947797179222107},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46966230869293213},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.42449912428855896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21304872632026672},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21221625804901123},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1284681260585785},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12021046876907349},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2017.2648864","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2017.2648864","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.7099999785423279,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W157049284","https://openalex.org/W1598915718","https://openalex.org/W1995457101","https://openalex.org/W2015152471","https://openalex.org/W2018899966","https://openalex.org/W2029338278","https://openalex.org/W2033517995","https://openalex.org/W2042960352","https://openalex.org/W2043624980","https://openalex.org/W2045789762","https://openalex.org/W2050942211","https://openalex.org/W2061590216","https://openalex.org/W2061821032","https://openalex.org/W2069325440","https://openalex.org/W2085888907","https://openalex.org/W2087656541","https://openalex.org/W2091943474","https://openalex.org/W2146682692","https://openalex.org/W2149872567","https://openalex.org/W2265989366","https://openalex.org/W2284640677","https://openalex.org/W2312630564"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W2340777379","https://openalex.org/W4298023222"],"abstract_inverted_index":{"In":[0],"this":[1,22,30],"paper,":[2],"some":[3],"results":[4],"of":[5,18,21,41,50],"the":[6,16,27,33,42,51,60],"fuzzy":[7,61],"relation":[8,28,62],"inequalities":[9,63],"with":[10],"addition-min":[11],"composition":[12],"are":[13],"given.":[14],"First,":[15],"uniqueness":[17],"minimal":[19],"solutions":[20],"system":[23,31,36,53],"is":[24,37,45,54,64],"discussed.":[25],"Then,":[26],"between":[29],"and":[32,47],"corresponding":[34],"equations'":[35],"introduced.":[38],"The":[39],"definition":[40],"critical":[43,52],"set":[44],"presented,":[46],"an":[48,57],"algorithm":[49,58],"obtained.":[55],"Finally,":[56],"for":[59],"presented.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}