{"id":"https://openalex.org/W2773365387","doi":"https://doi.org/10.3233/jifs-17301","title":"Classifying fuzzy (normal) subgroups of\u00a0the\u00a0group D2p\u00d7\u2124q and finite groups of\u00a0order <i>n</i> \u00a0\u2264\u00a020","display_name":"Classifying fuzzy (normal) subgroups of\u00a0the\u00a0group D2p\u00d7\u2124q and finite groups of\u00a0order <i>n</i> \u00a0\u2264\u00a020","publication_year":2017,"publication_date":"2017-12-01","ids":{"openalex":"https://openalex.org/W2773365387","doi":"https://doi.org/10.3233/jifs-17301","mag":"2773365387"},"language":"lv","primary_location":{"id":"doi:10.3233/jifs-17301","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-17301","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy 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/A5019069827","display_name":"L. Kamali Ardekani","orcid":"https://orcid.org/0000-0002-9942-6356"},"institutions":[{"id":"https://openalex.org/I4392738095","display_name":"Ardakan University","ror":"https://ror.org/04kpdmm83","country_code":null,"type":"education","lineage":["https://openalex.org/I4392738095"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Leili Kamali Ardekani","raw_affiliation_strings":["Faculty of Engineering, Ardakan University, Ardakan, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Ardakan University, Ardakan, Iran","institution_ids":["https://openalex.org/I4392738095"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012148158","display_name":"Bijan Davvaz","orcid":"https://orcid.org/0000-0003-1941-5372"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]},{"id":"https://openalex.org/I188703185","display_name":"GTx (United States)","ror":"https://ror.org/0400j3f74","country_code":"US","type":"company","lineage":["https://openalex.org/I188703185"]}],"countries":["IR","US"],"is_corresponding":false,"raw_author_name":"Bijan Davvaz","raw_affiliation_strings":["Department of Mathematics, Yazd University, Yazd, Iran","E-mail:","Fax: +983532248384"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]},{"raw_affiliation_string":"Fax: +983532248384","institution_ids":["https://openalex.org/I188703185"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019069827"],"corresponding_institution_ids":["https://openalex.org/I4392738095"],"apc_list":null,"apc_paid":null,"fwci":0.5377,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73722095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"33","issue":"6","first_page":"3615","last_page":"3627"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998000264167786,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998000264167786,"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":0.9919999837875366,"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":0.9671000242233276,"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/order","display_name":"Order (exchange)","score":0.7007266283035278},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5890347957611084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5789989829063416},{"id":"https://openalex.org/keywords/normal-subgroup","display_name":"Normal subgroup","score":0.5788962244987488},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4848962426185608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4110148251056671},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40976065397262573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19508472084999084},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16483047604560852},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1494562029838562},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.06967604160308838}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7007266283035278},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5890347957611084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5789989829063416},{"id":"https://openalex.org/C105515060","wikidata":"https://www.wikidata.org/wiki/Q743179","display_name":"Normal subgroup","level":3,"score":0.5788962244987488},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4848962426185608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4110148251056671},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40976065397262573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19508472084999084},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16483047604560852},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1494562029838562},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.06967604160308838},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-17301","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-17301","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W201820097","https://openalex.org/W1580437493","https://openalex.org/W1706253685","https://openalex.org/W1980750257","https://openalex.org/W2002303767","https://openalex.org/W2028101979","https://openalex.org/W2092076180","https://openalex.org/W2228894174","https://openalex.org/W2398666508","https://openalex.org/W2400912671","https://openalex.org/W2401568274","https://openalex.org/W2401850777","https://openalex.org/W2402269404","https://openalex.org/W2613009224","https://openalex.org/W2739543114","https://openalex.org/W2763540597","https://openalex.org/W4210778630","https://openalex.org/W4249018061","https://openalex.org/W6634724025","https://openalex.org/W6689267222","https://openalex.org/W6712818487"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2963656016","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2060626506","https://openalex.org/W2794687525","https://openalex.org/W1989920940","https://openalex.org/W2063684714","https://openalex.org/W2086655987"],"abstract_inverted_index":{"One":[0],"of":[1,16,29,60,78,82,92,104,111,114,117],"the":[2,12,25,67,74,90,102,109],"problems":[3],"in":[4,95,121],"fuzzy":[5,13,26,79],"group":[6,84],"theory":[7],"is":[8],"concerned":[9],"with":[10],"classifying":[11],"(normal)":[14,27,80,93,115],"subgroups":[15,28,81,94,116],"a":[17,83],"finite":[18,58],"group.":[19],"In":[20,71,98],"this":[21,72],"paper,":[22],"we":[23,107],"classify":[24],"<mml:math":[30],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[31],"overflow=\"scroll\">":[32],"<mml:msub>":[33,41],"<mml:mi>D</mml:mi>":[34],"<mml:mrow>":[35,42],"<mml:mn>2</mml:mn>":[36],"<mml:mi>p</mml:mi>":[37],"</mml:mrow>":[38,47],"</mml:msub>":[39,49],"<mml:mo>\u00d7</mml:mo>":[40],"<mml:mstyle":[43],"mathvariant=\"double-struck\">":[44],"<mml:mi>\u2124</mml:mi>":[45],"</mml:mstyle>":[46],"<mml:mi>q</mml:mi>":[48],"</mml:math>":[50],"(":[51],"p":[52],",":[53],"q":[54],"primes)":[55],"and":[56],"all":[57,112],"groups":[59],"order":[61],"n":[62],"\u2264":[63],"20,":[64],"by":[65],"using":[66],"natural":[68],"equivalence":[69,76],"relation.":[70],"case,":[73],"corresponding":[75],"classes":[77],"G":[85,96,118,122],"are":[86],"closely":[87],"connected":[88],"to":[89],"chains":[91,113],".":[97,123],"fact,":[99],"for":[100],"determining":[101],"number":[103,110],"these":[105],"classes,":[106],"calculate":[108],"that":[119],"terminate":[120]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2017-12-22T00:00:00"}