{"id":"https://openalex.org/W2092076180","doi":"https://doi.org/10.1016/s0165-0114(03)00224-0","title":"Counting the number of fuzzy subgroups of an abelian group of order pnqm","display_name":"Counting the number of fuzzy subgroups of an abelian group of order pnqm","publication_year":2003,"publication_date":"2003-06-30","ids":{"openalex":"https://openalex.org/W2092076180","doi":"https://doi.org/10.1016/s0165-0114(03)00224-0","mag":"2092076180"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(03)00224-0","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5010972901","display_name":"V. Murali","orcid":"https://orcid.org/0000-0003-1051-6855"},"institutions":[{"id":"https://openalex.org/I203238179","display_name":"Rhodes University","ror":"https://ror.org/016sewp10","country_code":"ZA","type":"education","lineage":["https://openalex.org/I203238179"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"V. Murali","raw_affiliation_strings":["Department of Pure and Applied Mathematics, Rhodes University, P.O. Box 94, Grahamstown, 6140, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics, Rhodes University, P.O. Box 94, Grahamstown, 6140, South Africa","institution_ids":["https://openalex.org/I203238179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004332073","display_name":"B.B. Makamba","orcid":null},"institutions":[{"id":"https://openalex.org/I114499477","display_name":"University of Fort Hare","ror":"https://ror.org/0184vwv17","country_code":"ZA","type":"education","lineage":["https://openalex.org/I114499477"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"B.B. Makamba","raw_affiliation_strings":["Department of Mathematics, University of Fort Hare, Alice 5700 South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Fort Hare, Alice 5700 South Africa","institution_ids":["https://openalex.org/I114499477"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2600,"currency":"USD","value_usd":2600,"provenance":"doaj"},"apc_paid":null,"fwci":0.755,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":43,"citation_normalized_percentile":{"value":0.885707,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":92},"biblio":{"volume":"144","issue":"3","first_page":"459","last_page":"470"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997,"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":0.9997,"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":0.9943,"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/T11106","display_name":"Data Management and Algorithms","score":0.9766,"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/sketch","display_name":"Sketch","score":0.6333305},{"id":"https://openalex.org/keywords/binomial-coefficient","display_name":"Binomial coefficient","score":0.58843005},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5849673},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.5366724}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9198179},{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.6333305},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.62562126},{"id":"https://openalex.org/C34718186","wikidata":"https://www.wikidata.org/wiki/Q209875","display_name":"Binomial coefficient","level":2,"score":0.58843005},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5849673},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.57790625},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.5366724},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5092956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.50369114},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4916771},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.44890612},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18278137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09919277},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07555908},{"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},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0165-0114(03)00224-0","pdf_url":null,"source":{"id":"https://openalex.org/S169411308","display_name":"Fuzzy Sets and Systems","issn_l":"0165-0114","issn":["0165-0114","1872-6801"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":15,"referenced_works":["https://openalex.org/W1980750257","https://openalex.org/W1999360086","https://openalex.org/W2033133974","https://openalex.org/W2045191991","https://openalex.org/W2052076085","https://openalex.org/W2055065193","https://openalex.org/W2056572893","https://openalex.org/W2072173760","https://openalex.org/W2079961762","https://openalex.org/W2106869653","https://openalex.org/W2228894174","https://openalex.org/W2314083573","https://openalex.org/W364105767","https://openalex.org/W4210778630","https://openalex.org/W4249018061"],"related_works":["https://openalex.org/W4387298493","https://openalex.org/W4225635267","https://openalex.org/W4212980217","https://openalex.org/W4200087232","https://openalex.org/W3214798365","https://openalex.org/W3121198759","https://openalex.org/W2966298095","https://openalex.org/W2010411139","https://openalex.org/W1619654942","https://openalex.org/W1572536327"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2092076180","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":8}],"updated_date":"2024-12-16T15:13:46.095256","created_date":"2016-06-24"}