{"id":"https://openalex.org/W2001288707","doi":"https://doi.org/10.1142/s0218488505003448","title":"ON COMPLEMENTARY LOGICAL CONNECTIVES AND RELATIVE COMPLEMENTS","display_name":"ON COMPLEMENTARY LOGICAL CONNECTIVES AND RELATIVE COMPLEMENTS","publication_year":2005,"publication_date":"2005-06-01","ids":{"openalex":"https://openalex.org/W2001288707","doi":"https://doi.org/10.1142/s0218488505003448","mag":"2001288707"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488505003448","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488505003448","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based 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/A5113776671","display_name":"Claudi Alsina","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"CLAUDI ALSINA","raw_affiliation_strings":["Secci\u00f3 de Matem\u00e0tiques i  Inform\u00e0tica, Dept. d'Estructures, a l'Arquitectura,  Univ. Polit\u00e8cnica de Catalunya, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Secci\u00f3 de Matem\u00e0tiques i  Inform\u00e0tica, Dept. d'Estructures, a l'Arquitectura,  Univ. Polit\u00e8cnica de Catalunya, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010221865","display_name":"Enric Trillas","orcid":null},"institutions":[{"id":"https://openalex.org/I88060688","display_name":"Universidad Polit\u00e9cnica de Madrid","ror":"https://ror.org/03n6nwv02","country_code":"ES","type":"education","lineage":["https://openalex.org/I88060688"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"ENRIC TRILLAS","raw_affiliation_strings":["Depto. de Inteligencia Artificial,  Univ. Polit\u00e9cnica de Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Depto. de Inteligencia Artificial,  Univ. Polit\u00e9cnica de Madrid, Spain","institution_ids":["https://openalex.org/I88060688"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3373,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60327759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"13","issue":"03","first_page":"255","last_page":"261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9987000226974487,"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/negation","display_name":"Negation","score":0.8533353805541992},{"id":"https://openalex.org/keywords/contradiction","display_name":"Contradiction","score":0.8364965319633484},{"id":"https://openalex.org/keywords/law-of-excluded-middle","display_name":"Law of excluded middle","score":0.7165549993515015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5778429508209229},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5542666912078857},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5512908697128296},{"id":"https://openalex.org/keywords/logical-consequence","display_name":"Logical consequence","score":0.5425217747688293},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5162417888641357},{"id":"https://openalex.org/keywords/logical-connective","display_name":"Logical connective","score":0.48005780577659607},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4299500584602356},{"id":"https://openalex.org/keywords/paraconsistent-logic","display_name":"Paraconsistent logic","score":0.42376214265823364},{"id":"https://openalex.org/keywords/classical-logic","display_name":"Classical logic","score":0.41513317823410034},{"id":"https://openalex.org/keywords/non-classical-logic","display_name":"Non-classical logic","score":0.41186124086380005},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4096822142601013},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3322645127773285},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3151710629463196},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.27270686626434326},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.259803831577301},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23828178644180298},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17234724760055542},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.17222309112548828},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.10222351551055908},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.05108237266540527}],"concepts":[{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.8533353805541992},{"id":"https://openalex.org/C2776728590","wikidata":"https://www.wikidata.org/wiki/Q363948","display_name":"Contradiction","level":2,"score":0.8364965319633484},{"id":"https://openalex.org/C137155000","wikidata":"https://www.wikidata.org/wiki/Q468422","display_name":"Law of excluded middle","level":2,"score":0.7165549993515015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5778429508209229},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5542666912078857},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5512908697128296},{"id":"https://openalex.org/C134752490","wikidata":"https://www.wikidata.org/wiki/Q374182","display_name":"Logical consequence","level":2,"score":0.5425217747688293},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5162417888641357},{"id":"https://openalex.org/C194989596","wikidata":"https://www.wikidata.org/wiki/Q211790","display_name":"Logical connective","level":2,"score":0.48005780577659607},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4299500584602356},{"id":"https://openalex.org/C16796852","wikidata":"https://www.wikidata.org/wiki/Q426592","display_name":"Paraconsistent logic","level":4,"score":0.42376214265823364},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.41513317823410034},{"id":"https://openalex.org/C74992188","wikidata":"https://www.wikidata.org/wiki/Q239179","display_name":"Non-classical logic","level":3,"score":0.41186124086380005},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4096822142601013},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3322645127773285},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3151710629463196},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.27270686626434326},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.259803831577301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23828178644180298},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17234724760055542},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.17222309112548828},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.10222351551055908},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05108237266540527},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488505003448","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488505003448","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1485625483","https://openalex.org/W2034145905","https://openalex.org/W2039611746","https://openalex.org/W2091698138","https://openalex.org/W2808650095","https://openalex.org/W4234672050"],"related_works":["https://openalex.org/W2598560042","https://openalex.org/W2148385576","https://openalex.org/W4214654664","https://openalex.org/W1575707334","https://openalex.org/W2938145278","https://openalex.org/W2371904787","https://openalex.org/W2612613491","https://openalex.org/W4252273788","https://openalex.org/W2890647385","https://openalex.org/W2497058334"],"abstract_inverted_index":{"We":[0,18],"characterize":[1],"logical":[2],"connectives":[3],"given":[4],"by":[5],"t-norms":[6],"and":[7,25,41],"t-conorms":[8],"which":[9],"are":[10],"N-complementary":[11],"with":[12],"respect":[13],"to":[14],"a":[15],"strong":[16],"negation.":[17],"clarify":[19],"the":[20,26,35,38],"relation":[21],"between":[22],"this":[23],"notion":[24],"usual":[27],"N-duality":[28],"as":[29,31],"well":[30],"its":[32],"implications":[33],"concerning":[34],"validity":[36],"of":[37],"classical-like":[39],"Excluded-Middle":[40],"Non-Contradiction":[42],"laws":[43],"in":[44],"Fuzzy":[45],"Logic.":[46]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}