{"id":"https://openalex.org/W145396126","doi":null,"title":"COUNTING FUZZY SUBGROUPS OF SYMMETRIC GROUPS S2, S3 AND ALTERNATING GROUP A4","display_name":"COUNTING FUZZY SUBGROUPS OF SYMMETRIC GROUPS S2, S3 AND ALTERNATING GROUP A4","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W145396126","mag":"145396126"},"language":"en","primary_location":{"id":"mag:145396126","doi":null,"is_oa":false,"landing_page_url":"http://en.journals.sid.ir/ViewPaper.aspx?ID=360887","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5054251571","display_name":"Raden Sulaiman","orcid":"https://orcid.org/0000-0002-1315-6536","observed_orcids":["https://orcid.org/0000-0002-1315-6536","https://orcid.org/0000-0001-5761-9881"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Raden Sulaiman","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-1315-6536","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5086494684","display_name":"Abd Ghafur Ahmad","orcid":"https://orcid.org/0000-0002-7647-091X","observed_orcids":["https://orcid.org/0000-0002-7647-091X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abd Ghafur Ahmad","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4669,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.87929589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"6","issue":"1","first_page":"57","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.8467000126838684,"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":0.8467000126838684,"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":0.10419999808073044,"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/T10849","display_name":"Finite Group Theory Research","score":0.03269999846816063,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-subgroups","display_name":"fuzzy subgroups","score":0.9990000128746033},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"symmetric group","score":0.9110000133514404},{"id":"https://openalex.org/keywords/alternating-group-a4","display_name":"alternating group A4","score":0.9259999990463257},{"id":"https://openalex.org/keywords/s2","display_name":"S2","score":0.6629999876022339},{"id":"https://openalex.org/keywords/s3","display_name":"S3","score":0.9959999918937683},{"id":"https://openalex.org/keywords/subgroup-lattices","display_name":"subgroup lattices","score":0.7680000066757202},{"id":"https://openalex.org/keywords/finite-groups","display_name":"finite groups","score":0.3970000147819519}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8372708559036255},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5549305081367493},{"id":"https://openalex.org/C38847919","wikidata":"https://www.wikidata.org/wiki/Q438814","display_name":"Alternating group","level":3,"score":0.547073245048523},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5396734476089478},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5318902134895325},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.5029808878898621},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.4938715100288391},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.41797614097595215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07040035724639893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.05914008617401123},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:145396126","doi":null,"is_oa":false,"landing_page_url":"http://en.journals.sid.ir/ViewPaper.aspx?ID=360887","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2188950344","https://openalex.org/W4381164151","https://openalex.org/W2401850777","https://openalex.org/W2669242680","https://openalex.org/W4313642364","https://openalex.org/W2943538089","https://openalex.org/W2605261416","https://openalex.org/W4382775464","https://openalex.org/W2067380224","https://openalex.org/W2268973549"],"abstract_inverted_index":{"In":[0],"this":[1],"article":[2],"we":[3,19],"compute":[4],"the":[5,25,38,51],"number":[6,52],"of":[7,10,27,37,40,53],"fuzzy":[8,29,55],"subgroups":[9,39,56],"symmetric":[11],"groups":[12],"S2,":[13,41],"S3":[14],"and\r\nalternating":[15],"group":[16,32],"A4.":[17,44],"First,":[18],"define":[20],"an":[21],"equivalence":[22],"relation":[23],"on":[24],"set":[26],"all":[28,36],"subgroups\r\nof":[30],"a":[31],"G.":[33],"We":[34,45],"represent":[35],"S4":[42],"and":[43],"use":[46],"their":[47,54],"poset":[48],"diagrams\r\nto":[49],"determine":[50]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-09-27T08:07:27.782135","created_date":"2016-06-24T00:00:00"}