{"id":"https://openalex.org/W4385650559","doi":"https://doi.org/10.3390/computation11080155","title":"A Parametric Family of Triangular Norms and Conorms with an Additive Generator in the Form of an Arctangent of a Linear Fractional Function","display_name":"A Parametric Family of Triangular Norms and Conorms with an Additive Generator in the Form of an Arctangent of a Linear Fractional Function","publication_year":2023,"publication_date":"2023-08-08","ids":{"openalex":"https://openalex.org/W4385650559","doi":"https://doi.org/10.3390/computation11080155"},"language":"en","primary_location":{"id":"doi:10.3390/computation11080155","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11080155","pdf_url":"https://www.mdpi.com/2079-3197/11/8/155/pdf?version=1691500456","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/8/155/pdf?version=1691500456","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062373675","display_name":"Tatiana Ledeneva","orcid":"https://orcid.org/0000-0002-3944-2266"},"institutions":[{"id":"https://openalex.org/I71305448","display_name":"Voronezh State University","ror":"https://ror.org/0543j5e78","country_code":"RU","type":"education","lineage":["https://openalex.org/I71305448"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Tatiana Ledeneva","raw_affiliation_strings":["Department of Computational Mathematics and Applied Information Technologies, Voronezh State University, 394006 Voronezh, Russia"],"raw_orcid":"https://orcid.org/0000-0002-3944-2266","affiliations":[{"raw_affiliation_string":"Department of Computational Mathematics and Applied Information Technologies, Voronezh State University, 394006 Voronezh, Russia","institution_ids":["https://openalex.org/I71305448"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062373675"],"corresponding_institution_ids":["https://openalex.org/I71305448"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1073,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.39708806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"11","issue":"8","first_page":"155","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9889000058174133,"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/mathematics","display_name":"Mathematics","score":0.6855369806289673},{"id":"https://openalex.org/keywords/inverse-trigonometric-functions","display_name":"Inverse trigonometric functions","score":0.6111533045768738},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5667785406112671},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5636197924613953},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.49659448862075806},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.48010802268981934},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4722406566143036},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44424736499786377},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4398570656776428},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42235782742500305},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3799298107624054},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2966974377632141},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.24209904670715332},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20986241102218628},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1648852527141571},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12458977103233337},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.06834852695465088}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6855369806289673},{"id":"https://openalex.org/C68827188","wikidata":"https://www.wikidata.org/wiki/Q674533","display_name":"Inverse trigonometric functions","level":2,"score":0.6111533045768738},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5667785406112671},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5636197924613953},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.49659448862075806},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.48010802268981934},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4722406566143036},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44424736499786377},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4398570656776428},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42235782742500305},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3799298107624054},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2966974377632141},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.24209904670715332},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20986241102218628},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1648852527141571},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12458977103233337},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.06834852695465088},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation11080155","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11080155","pdf_url":"https://www.mdpi.com/2079-3197/11/8/155/pdf?version=1691500456","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:186e983fb7d44aa1b1b950a37fd75efe","is_oa":true,"landing_page_url":"https://doaj.org/article/186e983fb7d44aa1b1b950a37fd75efe","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 8, p 155 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/8/155/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation11080155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation; Volume 11; Issue 8; Pages: 155","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11080155","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11080155","pdf_url":"https://www.mdpi.com/2079-3197/11/8/155/pdf?version=1691500456","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7200000286102295,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4385650559.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W84733037","https://openalex.org/W1559274470","https://openalex.org/W1974828628","https://openalex.org/W1975094346","https://openalex.org/W1993472384","https://openalex.org/W1994525828","https://openalex.org/W2041084175","https://openalex.org/W2054962104","https://openalex.org/W2075176074","https://openalex.org/W2080002489","https://openalex.org/W2081754091","https://openalex.org/W2084643922","https://openalex.org/W2086274107","https://openalex.org/W2094811706","https://openalex.org/W2096768134","https://openalex.org/W2739916582","https://openalex.org/W2768167034","https://openalex.org/W2790421303","https://openalex.org/W2921693142","https://openalex.org/W3015660036","https://openalex.org/W3109457687","https://openalex.org/W3213572188","https://openalex.org/W4233884558","https://openalex.org/W4319460599","https://openalex.org/W6745940391"],"related_works":["https://openalex.org/W2952417038","https://openalex.org/W238827642","https://openalex.org/W2949216717","https://openalex.org/W4300573151","https://openalex.org/W2233206163","https://openalex.org/W2610578195","https://openalex.org/W2166647414","https://openalex.org/W1504266122","https://openalex.org/W34619336","https://openalex.org/W2740240761"],"abstract_inverted_index":{"At":[0],"present,":[1],"fuzzy":[2,51,128,172,178,201],"modeling":[3],"has":[4],"established":[5],"itself":[6],"as":[7],"an":[8,44,87,116],"effective":[9],"tool":[10],"for":[11,16,167,188],"designing":[12],"and":[13,29,41,86,161,163,197],"developing":[14],"systems":[15],"various":[17],"purposes":[18],"that":[19,149,191],"are":[20,121],"used":[21],"to":[22,98],"solve":[23],"problems":[24,37],"of":[25,33,43,48,60,74,81,89,110,141,157,171,177],"control,":[26],"diagnostics,":[27],"forecasting,":[28],"decision":[30],"making.":[31],"One":[32],"the":[34,39,49,58,72,99,104,108,142,147,150,155,168,175,199],"most":[35],"important":[36],"is":[38,54,96,115,136],"choice":[40],"justification":[42],"appropriate":[45],"functional":[46,169],"representation":[47,170],"main":[50],"operations.":[52,202],"It":[53],"known":[55],"that,":[56],"in":[57,71,146,174,182],"class":[59],"rational":[61],"functions,":[62],"such":[63],"operations":[64,173],"can":[65,192],"be":[66,193],"represented":[67],"by":[68],"additive":[69,195],"generators":[70,196],"form":[73],"a":[75,79,82,90,111,126,134,186],"linear":[76,83,91,112],"fractional":[77,84,92,113],"function,":[78,85],"logarithm":[80],"arctangent":[88,109],"function.":[93],"The":[94,138],"paper":[95],"devoted":[97],"latter":[100],"case.":[101],"Restrictions":[102],"on":[103],"parameters,":[105],"under":[106],"which":[107],"function":[114],"increasing":[117],"or":[118,133],"decreasing":[119],"generator,":[120],"defined.":[122],"For":[123],"each":[124],"case,":[125],"corresponding":[127,200],"operation":[129],"(a":[130],"triangular":[131,159],"norm":[132],"conorm)":[135],"constructed.":[137],"theoretical":[139],"significance":[140],"research":[143],"results":[144],"lies":[145],"fact":[148],"obtained":[151],"parametric":[152],"families":[153],"enrich":[154],"theory":[156],"Archimedean":[158],"norms":[160],"conorms":[162],"provide":[164],"additional":[165],"opportunities":[166],"framework":[176],"modeling.":[179],"In":[180],"addition,":[181],"fact,":[183],"we":[184],"formed":[185],"scheme":[187],"study":[189],"functions":[190],"considered":[194],"constructed":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-01-26T23:06:41.788003","created_date":"2025-10-10T00:00:00"}