{"id":"https://openalex.org/W2117389305","doi":"https://doi.org/10.1109/fuzz.2003.1209347","title":"Valuation sets in lattice-valued propositional logic LP(X)","display_name":"Valuation sets in lattice-valued propositional logic LP(X)","publication_year":2004,"publication_date":"2004-05-06","ids":{"openalex":"https://openalex.org/W2117389305","doi":"https://doi.org/10.1109/fuzz.2003.1209347","mag":"2117389305"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2003.1209347","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2003.1209347","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03.","raw_type":"proceedings-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/A5074231575","display_name":"Xuefang Wang","orcid":"https://orcid.org/0000-0001-8104-4408"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuefang Wang","raw_affiliation_strings":["Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China","Dept. of Appl. Math., Southwest Jiaotong Univ., Sichuan, China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"Dept. of Appl. Math., Southwest Jiaotong Univ., Sichuan, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100931700","display_name":"Ming Qing","orcid":null},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Qing","raw_affiliation_strings":["Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China","Dept. of Appl. Math., Southwest Jiaotong Univ., Sichuan, China"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"Dept. of Appl. Math., Southwest Jiaotong Univ., Sichuan, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074231575"],"corresponding_institution_ids":["https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":1.3487,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81261353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":null,"first_page":"114","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9979000091552734,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9922000169754028,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6959561109542847},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.55989009141922},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.546954870223999},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5417855381965637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5299920439720154},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5291662216186523},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.4666571319103241},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4105607867240906},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2099207639694214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2097264528274536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1676061749458313},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.13871201872825623},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.07686346769332886}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6959561109542847},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.55989009141922},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.546954870223999},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5417855381965637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5299920439720154},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5291662216186523},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.4666571319103241},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4105607867240906},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2099207639694214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2097264528274536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1676061749458313},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.13871201872825623},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.07686346769332886},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2003.1209347","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2003.1209347","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W205128781","https://openalex.org/W1502400124","https://openalex.org/W1966321785","https://openalex.org/W2012072427","https://openalex.org/W2017999234","https://openalex.org/W2021801207","https://openalex.org/W2092180595","https://openalex.org/W2110182592","https://openalex.org/W2209900729","https://openalex.org/W2223298233","https://openalex.org/W2312744322","https://openalex.org/W2319549361","https://openalex.org/W2799061192","https://openalex.org/W3152223825","https://openalex.org/W6608382364","https://openalex.org/W6689102392","https://openalex.org/W6750047965"],"related_works":["https://openalex.org/W1891438468","https://openalex.org/W2389277141","https://openalex.org/W1564167468","https://openalex.org/W3137333128","https://openalex.org/W4251854500","https://openalex.org/W2472593905","https://openalex.org/W229834379","https://openalex.org/W2045262697","https://openalex.org/W1986219944","https://openalex.org/W1986625420"],"abstract_inverted_index":{"In":[0],"this":[1,69,84],"paper,":[2],"model":[3,21,55,85,101],"theory":[4,22],"properties":[5,47],"of":[6,19,25,34,37,61,73,90,110,116],"lattice-valued":[7],"propositional":[8],"logic":[9],"LP(X)":[10,26,42,76],"are":[11,43,48,94,105],"studied.":[12],"We":[13],"allows":[14],"to":[15,23],"transfer":[16],"the":[17,71,97,100,108],"results":[18,121],"classical":[20,79],"those":[24],"in":[27,41,75],"a":[28,53,64,87,124],"natural":[29],"way.":[30],"First,":[31],"valuation":[32],"sets":[33],"L-fuzzy":[35,59,114],"subsets":[36,115],"formulae":[38,40,62,117],"and":[39,45,63,68,77,96,103],"defined":[44,67,95],"their":[46],"discussed.":[49,106],"Based":[50],"on":[51,83],"these,":[52],"new":[54,88],"relation":[56,98,102],"between":[57,99,113],"an":[58],"subset":[60],"formula":[65],"is":[66,70,118],"generalization":[72],"counterparts":[74],"even":[78],"two-valued":[80],"logic.":[81],"based":[82],"relation,":[86],"class":[89],"semantic":[91],"consequence":[92],"operators":[93],"them":[104],"Furthermore,":[107],"relationship":[109],"logical":[111,125],"consequences":[112],"investigated.":[119],"These":[120],"will":[122],"lay":[123],"foundation":[126],"for":[127],"approximate":[128],"reasoning":[129],"at":[130],"every":[131],"level.":[132]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}