{"id":"https://openalex.org/W2897085989","doi":"https://doi.org/10.1109/fuzz-ieee.2018.8491580","title":"n-Dimensional Intervals and Fuzzy S-implications","display_name":"n-Dimensional Intervals and Fuzzy S-implications","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2897085989","doi":"https://doi.org/10.1109/fuzz-ieee.2018.8491580","mag":"2897085989"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2018.8491580","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2018.8491580","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/A5054039100","display_name":"Rosana Zanotelli","orcid":"https://orcid.org/0000-0001-8271-897X"},"institutions":[{"id":"https://openalex.org/I169248161","display_name":"Universidade Federal de Pelotas","ror":"https://ror.org/05msy9z54","country_code":"BR","type":"education","lineage":["https://openalex.org/I169248161"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Rosana Zanotelli","raw_affiliation_strings":["Center of Tecnological Development, Federal University of Pelotas, Pelotas, RS, Brazil"],"affiliations":[{"raw_affiliation_string":"Center of Tecnological Development, Federal University of Pelotas, Pelotas, RS, Brazil","institution_ids":["https://openalex.org/I169248161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044019379","display_name":"Renata Reiser","orcid":"https://orcid.org/0000-0001-9934-3115"},"institutions":[{"id":"https://openalex.org/I169248161","display_name":"Universidade Federal de Pelotas","ror":"https://ror.org/05msy9z54","country_code":"BR","type":"education","lineage":["https://openalex.org/I169248161"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Renata Reiser","raw_affiliation_strings":["Center of Tecnological Development, Federal University of Pelotas, Pelotas, RS, Brazil"],"affiliations":[{"raw_affiliation_string":"Center of Tecnological Development, Federal University of Pelotas, Pelotas, RS, Brazil","institution_ids":["https://openalex.org/I169248161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004002970","display_name":"Benjam\u00edn Bedregal","orcid":"https://orcid.org/0000-0002-6757-7934"},"institutions":[{"id":"https://openalex.org/I169248161","display_name":"Universidade Federal de Pelotas","ror":"https://ror.org/05msy9z54","country_code":"BR","type":"education","lineage":["https://openalex.org/I169248161"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Benjamin Bedregal","raw_affiliation_strings":["Center of Tecnological Development, Federal University of Pelotas, Pelotas, RS, Brazil"],"affiliations":[{"raw_affiliation_string":"Center of Tecnological Development, Federal University of Pelotas, Pelotas, RS, Brazil","institution_ids":["https://openalex.org/I169248161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054039100"],"corresponding_institution_ids":["https://openalex.org/I169248161"],"apc_list":null,"apc_paid":null,"fwci":0.847,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77594038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991000294685364,"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":0.9991000294685364,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.989799976348877,"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"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.5005600452423096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4888600707054138},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27322012186050415}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5005600452423096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4888600707054138},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27322012186050415}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2018.8491580","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2018.8491580","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"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":37,"referenced_works":["https://openalex.org/W65763650","https://openalex.org/W76765309","https://openalex.org/W1525647423","https://openalex.org/W1606108510","https://openalex.org/W1786392412","https://openalex.org/W1966162270","https://openalex.org/W1977854243","https://openalex.org/W1980564456","https://openalex.org/W1991358523","https://openalex.org/W2007805591","https://openalex.org/W2031241748","https://openalex.org/W2040668561","https://openalex.org/W2051531886","https://openalex.org/W2054976600","https://openalex.org/W2085929636","https://openalex.org/W2089962767","https://openalex.org/W2116365436","https://openalex.org/W2128444310","https://openalex.org/W2131390763","https://openalex.org/W2131429285","https://openalex.org/W2157041604","https://openalex.org/W2170292536","https://openalex.org/W2183383516","https://openalex.org/W2282429601","https://openalex.org/W2551905074","https://openalex.org/W2742022543","https://openalex.org/W2747096114","https://openalex.org/W2751761642","https://openalex.org/W2798648560","https://openalex.org/W4234672050","https://openalex.org/W4239165868","https://openalex.org/W4245152641","https://openalex.org/W4289254296","https://openalex.org/W6636361782","https://openalex.org/W6638262190","https://openalex.org/W6645451138","https://openalex.org/W6910445942"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"As":[0,30],"a":[1],"relevant":[2],"extension":[3],"of":[4,76],"fuzzy":[5,8,35,85],"sets,":[6],"n-dimensional":[7,22,34,84],"sets":[9],"consider":[10],"membership":[11],"degrees":[12],"as":[13],"ordered":[14],"n-tuples":[15],"on":[16,24,54,87],"U":[17,58],"=":[18],"[0,":[19],"1],":[20],"providing":[21],"intervals":[23],"L":[25,63,88],"<sub":[26,64,89],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27,60,65,90],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[28,66,91],"(U).":[29],"our":[31],"main":[32,49],"contribution,":[33],"implications":[36],"are":[37,51,68,93],"studied":[38],"considering":[39],"duality":[40],"and":[41,82],"conjugation":[42],"operators.":[43],"Additionally,":[44],"the":[45,74],"conditions":[46],"over":[47],"that":[48],"properties":[50],"preserved":[52],"based":[53],"their":[55],"representability":[56],"from":[57,79],"<sup":[59],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[61],"to":[62],"(U)":[67,92],"also":[69],"presented.":[70],"Some":[71],"results":[72],"in":[73],"class":[75],"S-implications":[77],"obtained":[78],"t-representable":[80],"conorms":[81],"involutive":[83],"negations":[86],"discussed.":[94]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}