{"id":"https://openalex.org/W2752956449","doi":"https://doi.org/10.1109/ifsa-scis.2017.8023349","title":"On fuzzy implication functions defined using powers of continuous t-norms","display_name":"On fuzzy implication functions defined using powers of continuous t-norms","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2752956449","doi":"https://doi.org/10.1109/ifsa-scis.2017.8023349","mag":"2752956449"},"language":"en","primary_location":{"id":"doi:10.1109/ifsa-scis.2017.8023349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-scis.2017.8023349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS)","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/A5017546076","display_name":"Sebasti\u00e0 Massanet","orcid":"https://orcid.org/0000-0001-8243-5013"},"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":"Sebastia Massanet","raw_affiliation_strings":["Dept. of Mathematics and Computer Science, University of the Balearic Islands, Palma, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics and Computer Science, University of the Balearic Islands, Palma, Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009747739","display_name":"J. Recasens","orcid":"https://orcid.org/0000-0003-2304-0032"},"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":"Jordi Recasens","raw_affiliation_strings":["Secci\u00f3 Matem\u00e0tiques i Inform\u00e0tica, Universitat Polit\u00e8cnica de Catalunya, Sant Cugat del Vall\u00e8s, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Secci\u00f3 Matem\u00e0tiques i Inform\u00e0tica, Universitat Polit\u00e8cnica de Catalunya, Sant Cugat del Vall\u00e8s, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010033209","display_name":"Joan Torrens","orcid":"https://orcid.org/0000-0002-5066-2913"},"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":"Joan Torrens","raw_affiliation_strings":["Dept. of Mathematics and Computer Science, University of the Balearic Islands, Palma, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics and Computer Science, University of the Balearic Islands, Palma, Spain","institution_ids":["https://openalex.org/I50441567"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14494866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"231","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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/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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9973000288009644,"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/antecedent","display_name":"Antecedent (behavioral psychology)","score":0.729400098323822},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6921603679656982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6822367906570435},{"id":"https://openalex.org/keywords/truth-value","display_name":"Truth value","score":0.5553619861602783},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.49229729175567627},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.48935288190841675},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46685463190078735},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.4511408805847168},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.39206403493881226},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3571363091468811},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3216429054737091},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2943270802497864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29222315549850464},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.08927750587463379},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.08793485164642334},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06342765688896179}],"concepts":[{"id":"https://openalex.org/C2781256819","wikidata":"https://www.wikidata.org/wiki/Q16828835","display_name":"Antecedent (behavioral psychology)","level":2,"score":0.729400098323822},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6921603679656982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6822367906570435},{"id":"https://openalex.org/C46274116","wikidata":"https://www.wikidata.org/wiki/Q185521","display_name":"Truth value","level":2,"score":0.5553619861602783},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.49229729175567627},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.48935288190841675},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46685463190078735},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.4511408805847168},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.39206403493881226},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3571363091468811},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3216429054737091},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2943270802497864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29222315549850464},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.08927750587463379},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.08793485164642334},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06342765688896179},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ifsa-scis.2017.8023349","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ifsa-scis.2017.8023349","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W656973277","https://openalex.org/W761455961","https://openalex.org/W765542047","https://openalex.org/W1578133078","https://openalex.org/W1606108510","https://openalex.org/W1673969116","https://openalex.org/W1812842862","https://openalex.org/W1983700912","https://openalex.org/W1989283348","https://openalex.org/W1992064601","https://openalex.org/W2000859003","https://openalex.org/W2015620414","https://openalex.org/W2019529630","https://openalex.org/W2025021415","https://openalex.org/W2060008750","https://openalex.org/W2066218705","https://openalex.org/W2084440709","https://openalex.org/W2153581090","https://openalex.org/W2221355491","https://openalex.org/W2250912615","https://openalex.org/W2312494561","https://openalex.org/W2490608929","https://openalex.org/W2497129923","https://openalex.org/W2585733431","https://openalex.org/W2915061287","https://openalex.org/W4234672050"],"related_works":["https://openalex.org/W1486684451","https://openalex.org/W2099285375","https://openalex.org/W2801459815","https://openalex.org/W4361273540","https://openalex.org/W2004739217","https://openalex.org/W2050139634","https://openalex.org/W4361984403","https://openalex.org/W4317826560","https://openalex.org/W2080743721","https://openalex.org/W2392011758"],"abstract_inverted_index":{"In":[0,87],"approximate":[1],"reasoning,":[2],"it":[3,90],"is":[4,91,110],"common":[5],"to":[6,33,102,117,131],"modify":[7,34],"(relax":[8],"or":[9,13],"intensify)":[10],"the":[11,14,30,64,67,71,76,79,84,94,97,124],"antecedent":[12,77],"consequent":[15,80],"of":[16,27,41,48,66,70,96,108,126],"a":[17,38,112],"fuzzy":[18,35,42,72],"\u201cIf,":[19],"Then\u201d":[20],"conditional.":[21],"Zadeh's":[22],"quantifiers":[23],"based":[24,45,53,128],"on":[25,46],"powers":[26,47,107],"t-norms":[28,109],"constitute":[29],"usual":[31],"method":[32],"propositions.":[36],"Recently,":[37],"novel":[39],"family":[40,58,125],"implication":[43],"functions":[44],"continuous":[49],"t-norms,":[50],"called":[51],"T-power":[52,127],"implications,":[54],"was":[55],"introduced.":[56],"This":[57],"satisfies,":[59],"among":[60],"other":[61,121],"important":[62],"properties,":[63,123],"invariance":[65,95],"truth":[68,98],"value":[69,99],"conditional":[73],"when":[74],"both":[75],"and":[78],"are":[81],"modified":[82],"using":[83],"same":[85],"quantifier.":[86],"this":[88],"paper,":[89],"proved":[92],"that":[93],"with":[100,119,133,141],"respect":[101],"linguistic":[103],"modifiers":[104],"modeled":[105],"through":[106],"such":[111],"strong":[113],"property":[114],"which":[115],"allows":[116],"characterize,":[118],"some":[120],"minimal":[122],"implications":[129],"up":[130],"compositions":[132],"increasing":[134],"mappings":[135],"\u03c6":[136],":":[137],"[0,1]":[138,140],"\u2192":[139],"\u03c6(0)":[142],"=":[143],"0.":[144]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}