{"id":"https://openalex.org/W4415990160","doi":"https://doi.org/10.3390/sym17111906","title":"A New Perspective on L-Fuzzy Ideals in MV-Algebras","display_name":"A New Perspective on L-Fuzzy Ideals in MV-Algebras","publication_year":2025,"publication_date":"2025-11-07","ids":{"openalex":"https://openalex.org/W4415990160","doi":"https://doi.org/10.3390/sym17111906"},"language":"en","primary_location":{"id":"doi:10.3390/sym17111906","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111906","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym17111906","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008879610","display_name":"Yanyan Dong","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141689","display_name":"Yancheng Teachers University","ror":"https://ror.org/042k5fe81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141689"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanyan Dong","raw_affiliation_strings":["School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, China","institution_ids":["https://openalex.org/I4210141689"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048317116","display_name":"Xiao-Wu Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I14116566","display_name":"Wuhan Polytechnic University","ror":"https://ror.org/05w0e5j23","country_code":"CN","type":"education","lineage":["https://openalex.org/I14116566"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Wu Zhou","raw_affiliation_strings":["School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430048, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430048, China","institution_ids":["https://openalex.org/I14116566"]}]},{"author_position":"last","author":{"id":null,"display_name":"Chenxi Qiu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141689","display_name":"Yancheng Teachers University","ror":"https://ror.org/042k5fe81","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210141689"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenxi Qiu","raw_affiliation_strings":["School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224002, China","institution_ids":["https://openalex.org/I4210141689"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.34706161,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"11","first_page":"1906","last_page":"1906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.8845999836921692,"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":0.8845999836921692,"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":0.06199999898672104,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.017400000244379044,"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/ideal","display_name":"Ideal (ethics)","score":0.7544999718666077},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.6740999817848206},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.673799991607666},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.6103000044822693},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5270000100135803},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.43529999256134033}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7544999718666077},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.6740999817848206},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.673799991607666},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.6103000044822693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5400999784469604},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5270000100135803},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.43529999256134033},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4074000120162964},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.4025999903678894},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3691999912261963},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30219998955726624},{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.28690001368522644},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28600001335144043},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.27379998564720154}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17111906","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111906","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17111906","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17111906","pdf_url":null,"source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"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":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4400522139","display_name":null,"funder_award_id":"12571507","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7950228975","display_name":null,"funder_award_id":"12401607","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1566552629","https://openalex.org/W1988233222","https://openalex.org/W2000328265","https://openalex.org/W2007388400","https://openalex.org/W2012072427","https://openalex.org/W2022137179","https://openalex.org/W2057862014","https://openalex.org/W2058648378","https://openalex.org/W2097299615","https://openalex.org/W2110182592","https://openalex.org/W2190325362","https://openalex.org/W2314935108","https://openalex.org/W2737051083","https://openalex.org/W2940050333","https://openalex.org/W2980638152","https://openalex.org/W3005092492","https://openalex.org/W3115737524","https://openalex.org/W3178227716","https://openalex.org/W4213427446","https://openalex.org/W4235789167","https://openalex.org/W4288064476","https://openalex.org/W4312076706","https://openalex.org/W4319066159","https://openalex.org/W4387339513","https://openalex.org/W4405716667","https://openalex.org/W4408249744"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,28,56,71,93],"investigate":[4],"some":[5],"properties":[6],"of":[7,32,61,98],"L-fuzzy":[8,34,48,53,67,75,81,100],"ideals":[9,101],"in":[10,37,84,102],"MV-algebras":[11],"from":[12],"a":[13],"new":[14],"perspective":[15],"by":[16],"taking":[17],"the":[18,24,30,33,43,66,74,96],"completely":[19],"distributive":[20],"lattice":[21],"L":[22],"as":[23,51],"lattice-valued":[25],"context.":[26],"Firstly,":[27],"introduce":[29],"notion":[31],"ideal":[35,68,76],"degree":[36,77],"an":[38,47,52,80,85,103,106],"MV-algebra,":[39],"which":[40,46],"can":[41],"illustrate":[42],"extent":[44],"to":[45,64],"subset":[49],"qualifies":[50],"ideal.":[54],"Secondly,":[55],"further":[57],"use":[58],"four":[59],"kinds":[60],"cut":[62],"sets":[63],"characterize":[65],"degree.":[69],"Furthermore,":[70],"show":[72],"that":[73,95],"is":[78],"precisely":[79],"convex":[82],"structure":[83,108],"MV-algebra":[86,104],"and":[87,109],"discuss":[88],"its":[89,111],"related":[90],"properties.":[91],"Finally,":[92],"demonstrate":[94],"collection":[97],"all":[99],"forms":[105],"L-convex":[107,112],"present":[110],"hull":[113],"formula.":[114]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-11-07T00:00:00"}
