{"id":"https://openalex.org/W1989283348","doi":"https://doi.org/10.1016/s0165-0114(01)00188-9","title":"Powers of t-norms","display_name":"Powers of t-norms","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W1989283348","doi":"https://doi.org/10.1016/s0165-0114(01)00188-9","mag":"1989283348"},"language":"en","primary_location":{"id":"doi:10.1016/s0165-0114(01)00188-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(01)00188-9","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and 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/A5110609480","display_name":"Carol L. Walker","orcid":null},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carol L. Walker","raw_affiliation_strings":["Department of Mathematical Sciences, New Mexico State University, P.O. Box 30001, Las Cruces, NM 88003, USA","Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University, P.O. Box 30001, Las Cruces, NM 88003, USA","institution_ids":["https://openalex.org/I10052268"]},{"raw_affiliation_string":"Dept. of Math. Sci., New Mexico State Univ., Las Cruces, NM, USA","institution_ids":["https://openalex.org/I10052268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109977624","display_name":"Elbert A. Walker","orcid":null},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Elbert A. Walker","raw_affiliation_strings":["Department of Mathematical Sciences, New Mexico State University, P.O. Box 30001, Las Cruces, NM 88003, USA","Department of Mathematics Sciences, New Mexico State University, P.O. Box 30001, Las Cruces, NM#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University, P.O. Box 30001, Las Cruces, NM 88003, USA","institution_ids":["https://openalex.org/I10052268"]},{"raw_affiliation_string":"Department of Mathematics Sciences, New Mexico State University, P.O. Box 30001, Las Cruces, NM#TAB#","institution_ids":["https://openalex.org/I10052268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109977624"],"corresponding_institution_ids":["https://openalex.org/I10052268"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":null,"fwci":0.4299,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.68267167,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"129","issue":"1","first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9832000136375427,"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":0.9832000136375427,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9747999906539917,"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":0.9742000102996826,"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/mathematics","display_name":"Mathematics","score":0.8877367973327637},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.6806893944740295},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6566782593727112},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.6197165250778198},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.5928869247436523},{"id":"https://openalex.org/keywords/t-norm","display_name":"T-norm","score":0.5427361726760864},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4733595550060272},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45931509137153625},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3508507013320923},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3275664150714874},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32742631435394287},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.12608039379119873},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.10929220914840698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07106226682662964},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.06140515208244324},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.05942311882972717},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.054093241691589355}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8877367973327637},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.6806893944740295},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6566782593727112},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.6197165250778198},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.5928869247436523},{"id":"https://openalex.org/C2721081","wikidata":"https://www.wikidata.org/wiki/Q2383161","display_name":"T-norm","level":5,"score":0.5427361726760864},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4733595550060272},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45931509137153625},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3508507013320923},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3275664150714874},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32742631435394287},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.12608039379119873},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.10929220914840698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07106226682662964},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.06140515208244324},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.05942311882972717},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.054093241691589355},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0165-0114(01)00188-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(01)00188-9","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fuzzy Sets and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1485625483","https://openalex.org/W1975241902","https://openalex.org/W1985204380","https://openalex.org/W1992093132","https://openalex.org/W2028540205","https://openalex.org/W2057066113","https://openalex.org/W2131700813","https://openalex.org/W2912565176","https://openalex.org/W3136233866","https://openalex.org/W3213572188","https://openalex.org/W4214576030","https://openalex.org/W4248692849","https://openalex.org/W6803346343"],"related_works":["https://openalex.org/W121476659","https://openalex.org/W2995310264","https://openalex.org/W4312091993","https://openalex.org/W2615859399","https://openalex.org/W2122782767","https://openalex.org/W3144382528","https://openalex.org/W2794986269","https://openalex.org/W2114065574","https://openalex.org/W2185336562","https://openalex.org/W989528308"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}