{"id":"https://openalex.org/W3134782000","doi":"https://doi.org/10.1142/s1793005721500277","title":"An a-Ideal of BCI-Algebras in Connection with Multipolar Fuzzy Sets","display_name":"An a-Ideal of BCI-Algebras in Connection with Multipolar Fuzzy Sets","publication_year":2021,"publication_date":"2021-03-04","ids":{"openalex":"https://openalex.org/W3134782000","doi":"https://doi.org/10.1142/s1793005721500277","mag":"3134782000"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005721500277","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005721500277","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","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/A5082321731","display_name":"M. Mohseni Takallo","orcid":"https://orcid.org/0000-0002-4113-3657"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Mohseni Takallo","raw_affiliation_strings":["Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072356626","display_name":"R. A. Borzooei","orcid":"https://orcid.org/0000-0001-7538-7885"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Rajab Ali Borzooei","raw_affiliation_strings":["Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089205317","display_name":"Young Bae Jun","orcid":"https://orcid.org/0000-0002-0181-8969"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]},{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR","KR"],"is_corresponding":false,"raw_author_name":"Young Bae Jun","raw_affiliation_strings":["Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea","Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea","institution_ids":["https://openalex.org/I189442560"]},{"raw_affiliation_string":"Department of Mathematics, Shahid Beheshti University, Tehran 1983963113, Iran","institution_ids":["https://openalex.org/I48379061"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033103052","display_name":"Sun Shin Ahn","orcid":"https://orcid.org/0000-0003-4129-9814"},"institutions":[{"id":"https://openalex.org/I205490536","display_name":"Dongguk University","ror":"https://ror.org/057q6n778","country_code":"KR","type":"education","lineage":["https://openalex.org/I205490536"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sun Shin Ahn","raw_affiliation_strings":["Department of Mathematics Education, Dongguk University, Seoul 04620, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Dongguk University, Seoul 04620, Korea","institution_ids":["https://openalex.org/I205490536"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03462716,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"03","first_page":"553","last_page":"570"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9174000024795532,"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/ideal","display_name":"Ideal (ethics)","score":0.7232356071472168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5611903667449951},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.44853007793426514},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36662405729293823},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3289385437965393},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26039865612983704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15724804997444153},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12267428636550903},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.060333430767059326}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7232356071472168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5611903667449951},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.44853007793426514},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36662405729293823},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3289385437965393},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26039865612983704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15724804997444153},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12267428636550903},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.060333430767059326},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1793005721500277","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005721500277","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Mathematics and Natural Computation","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500277","is_oa":false,"landing_page_url":"http://www.worldscientific.com/doi/abs/10.1142/S1793005721500277","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2007956182","https://openalex.org/W2895796698","https://openalex.org/W2908021295","https://openalex.org/W2985034513","https://openalex.org/W3042641151","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0,23,76,118],"notion":[1],"of":[2,143],"a":[3,53,61,144],"[Formula:":[4,7,10,13,26,31,37,40,43,46,54,62,65,68,71,79,82,85,88,91,94,97,100,104,107,110,113,120,123,126,129,145,148,151,154],"see":[5,8,11,14,27,32,38,41,44,47,55,63,66,69,72,80,83,86,89,92,95,98,101,105,108,111,114,121,124,127,130,146,149,152,155],"text]-polar":[6,28,33,39,56,64,81,93,106,122,147],"text]":[9,42,67,84,96,109,125,150],"text]-fuzzy":[12,45,70,87,99,112,128,153],"text]-ideal":[15,48,73,115,131,156],"is":[16,49,116,132],"introduced,":[17,133],"and":[18,36,103,134,140],"its":[19,135],"properties":[20],"are":[21,74,137,157],"investigated.":[22],"relationship":[24,77],"between":[25,78],"fuzzy":[29,34,57],"subalgebra,":[30],"ideal,":[35],"examined.":[50],"Conditions":[51],"for":[52],"ideal":[58],"to":[59],"be":[60],"provided.":[75],"text]-ideal,":[90,102],"shown.":[117],"normal":[119],"characterizations":[136],"considered.":[138],"Characterizations":[139],"extension":[141],"property":[142],"discussed.":[158]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}