{"id":"https://openalex.org/W3081525434","doi":"https://doi.org/10.1109/access.2020.3020366","title":"A Certain Class of <i>t</i>-Intuitionistic Fuzzy Subgroups","display_name":"A Certain Class of <i>t</i>-Intuitionistic Fuzzy Subgroups","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3081525434","doi":"https://doi.org/10.1109/access.2020.3020366","mag":"3081525434"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3020366","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3020366","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09180288.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09180288.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081717840","display_name":"Muhammad Gulzar","orcid":"https://orcid.org/0000-0003-1902-964X"},"institutions":[{"id":"https://openalex.org/I194348271","display_name":"Government College University, Faisalabad","ror":"https://ror.org/051zgra59","country_code":"PK","type":"education","lineage":["https://openalex.org/I194348271"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Muhammad Gulzar","raw_affiliation_strings":["Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan","institution_ids":["https://openalex.org/I194348271"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034560922","display_name":"Dilshad Alghazzawi","orcid":"https://orcid.org/0000-0002-8330-2818"},"institutions":[{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Dilshad Alghazzawi","raw_affiliation_strings":["Department of Mathematics, King Abdulaziz University, Rabigh, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, King Abdulaziz University, Rabigh, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089816055","display_name":"Muhammad Haris Mateen","orcid":"https://orcid.org/0000-0001-5097-8099"},"institutions":[{"id":"https://openalex.org/I172780181","display_name":"University of the Punjab","ror":"https://ror.org/011maz450","country_code":"PK","type":"education","lineage":["https://openalex.org/I172780181"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Haris Mateen","raw_affiliation_strings":["Department of Mathematics, University of the Punjab, Lahore, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of the Punjab, Lahore, Pakistan","institution_ids":["https://openalex.org/I172780181"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003279407","display_name":"Nasreen Kausar","orcid":"https://orcid.org/0000-0002-8659-0747"},"institutions":[{"id":"https://openalex.org/I4210147796","display_name":"University of Faisalabad","ror":"https://ror.org/04eps4h65","country_code":"PK","type":"education","lineage":["https://openalex.org/I4210147796"]},{"id":"https://openalex.org/I61623833","display_name":"University of Agriculture Faisalabad","ror":"https://ror.org/054d77k59","country_code":"PK","type":"education","lineage":["https://openalex.org/I61623833"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Nasreen Kausar","raw_affiliation_strings":["Department of Mathematics, University of Agriculture Faisalabad, Faisalabad, Pakistan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Agriculture Faisalabad, Faisalabad, Pakistan","institution_ids":["https://openalex.org/I4210147796","https://openalex.org/I61623833"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081717840"],"corresponding_institution_ids":["https://openalex.org/I194348271"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":7.5767,"has_fulltext":true,"cited_by_count":51,"citation_normalized_percentile":{"value":0.97411162,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"8","issue":null,"first_page":"163260","last_page":"163268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9477999806404114,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9383999705314636,"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/centralizer-and-normalizer","display_name":"Centralizer and normalizer","score":0.6928958892822266},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6018632054328918},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5272623300552368},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5044049024581909},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4284099340438843},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3786715567111969},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.277828186750412},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2162846326828003},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11248692870140076}],"concepts":[{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.6928958892822266},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6018632054328918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5272623300552368},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5044049024581909},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4284099340438843},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3786715567111969},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.277828186750412},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2162846326828003},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11248692870140076}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3020366","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3020366","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09180288.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d971159e609b4803b0ad048592c70715","is_oa":true,"landing_page_url":"https://doaj.org/article/d971159e609b4803b0ad048592c70715","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 163260-163268 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3020366","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3020366","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09180288.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322322","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3081525434.pdf","grobid_xml":"https://content.openalex.org/works/W3081525434.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1510478584","https://openalex.org/W1573832127","https://openalex.org/W1978566419","https://openalex.org/W1980564456","https://openalex.org/W1997294134","https://openalex.org/W2012575173","https://openalex.org/W2016180799","https://openalex.org/W2017489630","https://openalex.org/W2021917769","https://openalex.org/W2044315800","https://openalex.org/W2072132359","https://openalex.org/W2086489088","https://openalex.org/W2097403045","https://openalex.org/W2142063933","https://openalex.org/W2165612925","https://openalex.org/W2242678939","https://openalex.org/W2259591920","https://openalex.org/W2535443935","https://openalex.org/W2738537199","https://openalex.org/W2899820138","https://openalex.org/W2907615575","https://openalex.org/W2983268957","https://openalex.org/W2993467904","https://openalex.org/W3007381833","https://openalex.org/W3013512999","https://openalex.org/W3033532966","https://openalex.org/W3169195802","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4251584838","https://openalex.org/W4255791963","https://openalex.org/W6690320503","https://openalex.org/W6692667266","https://openalex.org/W6728896193","https://openalex.org/W6741273184","https://openalex.org/W6752083970","https://openalex.org/W6854212089"],"related_works":["https://openalex.org/W2348675898","https://openalex.org/W2977487684","https://openalex.org/W2017756151","https://openalex.org/W2014142863","https://openalex.org/W3033409000","https://openalex.org/W2266100423","https://openalex.org/W2561344538","https://openalex.org/W2790389999","https://openalex.org/W4313836905","https://openalex.org/W4301180305"],"abstract_inverted_index":{"In":[0],"this":[1,56],"study,":[2],"the":[3,61,108],"<inline-formula":[4,16,28,41,64,80,94,113,125],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5,17,29,42,65,81,95,114,126],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[6,18,30,43,66,82,96,115,127],"<tex-math":[7,19,31,44,67,83,97,116,128],"notation=\"LaTeX\">$t$":[8,20,32,45,68,84,98,117,129],"</tex-math></inline-formula>":[9,21,33,46,69,85,99,118,130],"-intuitionistic":[10,34,47,70,86,100,119,131],"fuzzy":[11,23,35,48,71,87,101,120,132],"normalizer":[12,49],"and":[13,50,73,76,110],"centralizer":[14,36],"of":[15,40,55,63,89,112],"intuitionistic":[22],"subgroup":[24,39,88,123,135],"are":[25,124],"proposed.":[26],"The":[27],"is":[37,93],"normal":[38],"investigate":[51],"various":[52],"algebraic":[53],"properties":[54],"phenomena.":[57],"We":[58,105],"also":[59],"introduce":[60],"concept":[62],"Abelian":[72,90,102,121,133],"cyclic":[74],"subgroups":[75],"prove":[77],"that":[78,107],"every":[79],"(cyclic)":[91,103,122,134],"group":[92,137],"subgroup.":[104],"show":[106],"image":[109],"pre-image":[111],"under":[136],"homomorphism.":[138]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":16},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2020-09-08T00:00:00"}
