{"id":"https://openalex.org/W2475729720","doi":"https://doi.org/10.1007/978-3-319-30421-2_5","title":"Modus Tollens on Fuzzy Implication Functions Derived from Uninorms","display_name":"Modus Tollens on Fuzzy Implication Functions Derived from Uninorms","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2475729720","doi":"https://doi.org/10.1007/978-3-319-30421-2_5","mag":"2475729720"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-30421-2_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-30421-2_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210229206","display_name":"Studies in fuzziness and soft computing","issn_l":"1434-9922","issn":["1434-9922","1860-0808"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Fuzziness and Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5006039638","display_name":"M. Mas","orcid":"https://orcid.org/0000-0001-9285-6209"},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Mas","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032706579","display_name":"J. Monreal","orcid":"https://orcid.org/0000-0002-6356-2807"},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Monreal","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017493869","display_name":"M. Monserrat","orcid":null},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M. Monserrat","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005035399","display_name":"Juan Vicente Riera","orcid":"https://orcid.org/0000-0002-0878-8301"},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. V. Riera","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031760215","display_name":"Joan Torrens Sastre","orcid":null},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Joan Torrens Sastre","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain","University of Balearic Islands, Palma, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of the Balearic Islands, 07122, Palma de Mallorca, Spain","institution_ids":["https://openalex.org/I50441567"]},{"raw_affiliation_string":"University of Balearic Islands, Palma, Spain","institution_ids":["https://openalex.org/I50441567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5031760215"],"corresponding_institution_ids":["https://openalex.org/I50441567"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.02980132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"49","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9994999766349792,"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":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/modus-ponens","display_name":"Modus ponens","score":0.8133516311645508},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7763054370880127},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.6214852929115295},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.559374213218689},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.5154688954353333},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5105661153793335},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4439193904399872},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3826826810836792},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3474147319793701},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3365511894226074},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26247352361679077},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.20505031943321228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17238762974739075},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.1304129660129547}],"concepts":[{"id":"https://openalex.org/C193885149","wikidata":"https://www.wikidata.org/wiki/Q655742","display_name":"Modus ponens","level":3,"score":0.8133516311645508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7763054370880127},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.6214852929115295},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.559374213218689},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.5154688954353333},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5105661153793335},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4439193904399872},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3826826810836792},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3474147319793701},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3365511894226074},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26247352361679077},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.20505031943321228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17238762974739075},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.1304129660129547},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-30421-2_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-30421-2_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210229206","display_name":"Studies in fuzziness and soft computing","issn_l":"1434-9922","issn":["1434-9922","1860-0808"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Fuzziness and Soft Computing","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6899999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W656973277","https://openalex.org/W1510833535","https://openalex.org/W1601554744","https://openalex.org/W1968505412","https://openalex.org/W1985403939","https://openalex.org/W1986391289","https://openalex.org/W1996340842","https://openalex.org/W2000022321","https://openalex.org/W2007930653","https://openalex.org/W2025021415","https://openalex.org/W2038675095","https://openalex.org/W2047261317","https://openalex.org/W2066782180","https://openalex.org/W2069800536","https://openalex.org/W2071005444","https://openalex.org/W2072526747","https://openalex.org/W2079393863","https://openalex.org/W2114065574","https://openalex.org/W2115067689","https://openalex.org/W2116703703","https://openalex.org/W2127884620","https://openalex.org/W2156094731","https://openalex.org/W2164429865","https://openalex.org/W2183383516","https://openalex.org/W2288230525","https://openalex.org/W2915061287","https://openalex.org/W4234672050","https://openalex.org/W4238189986","https://openalex.org/W4256322340"],"related_works":["https://openalex.org/W2128895242","https://openalex.org/W2029563506","https://openalex.org/W1588067599","https://openalex.org/W2611198522","https://openalex.org/W2615257120","https://openalex.org/W2389239788","https://openalex.org/W4246940373","https://openalex.org/W2288267523","https://openalex.org/W4291954951","https://openalex.org/W2236584368"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
