{"id":"https://openalex.org/W4404524060","doi":"https://doi.org/10.3390/axioms13110799","title":"Semi-Overlap Functions on Complete Lattices, Semi-\u0398-\u039e Functions, and Inflationary MTL Algebras","display_name":"Semi-Overlap Functions on Complete Lattices, Semi-\u0398-\u039e Functions, and Inflationary MTL Algebras","publication_year":2024,"publication_date":"2024-11-18","ids":{"openalex":"https://openalex.org/W4404524060","doi":"https://doi.org/10.3390/axioms13110799"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13110799","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110799","pdf_url":"https://www.mdpi.com/2075-1680/13/11/799/pdf?version=1731925017","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/13/11/799/pdf?version=1731925017","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005953695","display_name":"Xingna Zhang","orcid":"https://orcid.org/0000-0002-8849-2112"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xingna Zhang","raw_affiliation_strings":["School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China","School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi'an 710021, China"],"raw_orcid":"https://orcid.org/0009-0009-4041-1596","affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China","institution_ids":["https://openalex.org/I51622183"]},{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi'an 710021, China","institution_ids":["https://openalex.org/I51622183"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xingna Zhang","orcid":"https://orcid.org/0009-0009-4041-1596"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]},{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["CN","KR"],"is_corresponding":false,"raw_author_name":"Xingna Zhang","raw_affiliation_strings":["School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China","Rm 417, Center for Humanities & Social Sciences, Department of Philosophy & Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju 54896, Republic of Korea"],"raw_orcid":"https://orcid.org/0009-0009-4041-1596","affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China","institution_ids":["https://openalex.org/I51622183"]},{"raw_affiliation_string":"Rm 417, Center for Humanities & Social Sciences, Department of Philosophy & Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju 54896, Republic of Korea","institution_ids":["https://openalex.org/I80611190"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Eunsuk Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]},{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["CN","KR"],"is_corresponding":false,"raw_author_name":"Eunsuk Yang","raw_affiliation_strings":["Rm 417, Center for Humanities & Social Sciences, Department of Philosophy & Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju 54896, Republic of Korea","School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi'an 710021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rm 417, Center for Humanities & Social Sciences, Department of Philosophy & Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju 54896, Republic of Korea","institution_ids":["https://openalex.org/I80611190"]},{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi'an 710021, China","institution_ids":["https://openalex.org/I51622183"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100330121","display_name":"Xiaohong Zhang","orcid":"https://orcid.org/0000-0003-2320-0884"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaohong Zhang","raw_affiliation_strings":["School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China","institution_ids":["https://openalex.org/I51622183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100330121","display_name":"Xiaohong Zhang","orcid":"https://orcid.org/0000-0003-2320-0884"},"institutions":[{"id":"https://openalex.org/I51622183","display_name":"Shaanxi University of Science and Technology","ror":"https://ror.org/034t3zs45","country_code":"CN","type":"education","lineage":["https://openalex.org/I51622183"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohong Zhang","raw_affiliation_strings":["School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi\u2019an 710021, China","institution_ids":["https://openalex.org/I51622183"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005953695","https://openalex.org/A5100330121"],"corresponding_institution_ids":["https://openalex.org/I51622183"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.5127,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68988546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"13","issue":"11","first_page":"799","last_page":"799"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9872999787330627,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9832000136375427,"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/pure-mathematics","display_name":"Pure mathematics","score":0.39899930357933044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3265765309333801},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32039007544517517}],"concepts":[{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39899930357933044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3265765309333801},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32039007544517517}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13110799","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110799","pdf_url":"https://www.mdpi.com/2075-1680/13/11/799/pdf?version=1731925017","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:82d83893b7ad4c54b355107bd5c8a533","is_oa":true,"landing_page_url":"https://doaj.org/article/82d83893b7ad4c54b355107bd5c8a533","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 11, p 799 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13110799","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110799","pdf_url":"https://www.mdpi.com/2075-1680/13/11/799/pdf?version=1731925017","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.550000011920929,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G2542606357","display_name":null,"funder_award_id":"2023-JC-QN-0046","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5794512001","display_name":null,"funder_award_id":"12271319","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5846016705","display_name":null,"funder_award_id":"12201373","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4404524060.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W656973277","https://openalex.org/W1525647423","https://openalex.org/W1978931285","https://openalex.org/W1982776174","https://openalex.org/W1987898498","https://openalex.org/W1998690720","https://openalex.org/W2008553971","https://openalex.org/W2023837808","https://openalex.org/W2028056281","https://openalex.org/W2030073488","https://openalex.org/W2046701989","https://openalex.org/W2048019727","https://openalex.org/W2050862015","https://openalex.org/W2057821078","https://openalex.org/W2066108046","https://openalex.org/W2093915645","https://openalex.org/W2094811706","https://openalex.org/W2095362168","https://openalex.org/W2101221363","https://openalex.org/W2110182592","https://openalex.org/W2171606899","https://openalex.org/W2193120940","https://openalex.org/W2222312669","https://openalex.org/W2322552805","https://openalex.org/W2597236717","https://openalex.org/W2885083530","https://openalex.org/W2911650086","https://openalex.org/W2954655607","https://openalex.org/W2991628239","https://openalex.org/W2995506914","https://openalex.org/W3042706678","https://openalex.org/W3117978120","https://openalex.org/W4242872809","https://openalex.org/W4299417699","https://openalex.org/W4303438738","https://openalex.org/W4382542835","https://openalex.org/W4399806718"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"As":[0],"new":[1],"kinds":[2],"of":[3,53,72,117,141,153],"aggregation":[4],"functions,":[5],"overlap":[6,10],"functions":[7,11],"and":[8,40,60,82,91,106,119,135,157,164],"semi":[9],"are":[12,143],"widely":[13],"applied":[14],"to":[15,34,126],"information":[16],"fusion,":[17],"approximation":[18],"reasoning,":[19],"data":[20],"classification,":[21],"decision":[22],"science,":[23],"etc.":[24],"This":[25,147],"paper":[26,66,98,148],"extends":[27],"the":[28,35,42,51,73,79,93,100,107,122,127,131,151,167],"semi-overlap":[29,55,80,101,129],"function":[30,36,56,81,102,109],"on":[31,37,57,103,110],"[0,":[32,111],"1]":[33,112],"complete":[38,58,104],"lattices":[39,59,105],"investigates":[41],"residual":[43,136],"implication":[44],"derived":[45,138],"from":[46,113],"it;":[47],"then":[48],"it":[49,86,165],"explores":[50,166],"construction":[52],"a":[54,68],"some":[61,170],"fundamental":[62],"properties.":[63],"Especially,":[64],"this":[65,97],"introduces":[67],"more":[69],"generalized":[70],"concept":[71],"\u2018semi-\u0398-\u039e":[74],"function\u2019,":[75],"which":[76],"innovatively":[77],"unifies":[78],"semi-grouping":[83],"function.":[84,95],"Additionally,":[85],"provides":[87],"methods":[88],"for":[89],"constructing":[90],"characterizing":[92],"semi-\u0398-\u039e":[94,108,133],"Furthermore,":[96],"characterizes":[99],"an":[114],"algebraic":[115,123,172],"point":[116],"view":[118],"proves":[120],"that":[121],"structures":[124],"corresponding":[125],"inflationary":[128,132,144,154],"function,":[130,134],"implications":[137],"by":[139],"each":[140],"them":[142],"MTL":[145,155,162],"algebras.":[146],"further":[149],"discusses":[150],"properties":[152],"algebra":[156],"its":[158],"relationship":[159],"with":[160],"non-associative":[161],"algebra,":[163],"connections":[168],"between":[169],"related":[171],"structures.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
