{"id":"https://openalex.org/W2924500347","doi":"https://doi.org/10.3390/sym11030399","title":"Intuitionistic Fuzzy Soft Hyper BCK Algebras","display_name":"Intuitionistic Fuzzy Soft Hyper BCK Algebras","publication_year":2019,"publication_date":"2019-03-19","ids":{"openalex":"https://openalex.org/W2924500347","doi":"https://doi.org/10.3390/sym11030399","mag":"2924500347"},"language":"en","primary_location":{"id":"doi:10.3390/sym11030399","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11030399","pdf_url":"https://www.mdpi.com/2073-8994/11/3/399/pdf?version=1552982112","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/3/399/pdf?version=1552982112","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024280083","display_name":"Xiaolong Xin","orcid":null},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaolong Xin","raw_affiliation_strings":["School of Mathematics, Northwest University, Xi\u2019an 710127, China","School of Mathematics, Northwest University, Xi'an 710127, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Northwest University, Xi\u2019an 710127, China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"School of Mathematics, Northwest University, Xi'an 710127, China","institution_ids":["https://openalex.org/I37802460"]}]},{"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"],"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/A5013144057","display_name":"Mahmood Bakhshi","orcid":"https://orcid.org/0000-0001-6552-1307"},"institutions":[{"id":"https://openalex.org/I2800768525","display_name":"University of Bojnord","ror":"https://ror.org/05khxfe53","country_code":"IR","type":"education","lineage":["https://openalex.org/I2800768525"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mahmood Bakhshi","raw_affiliation_strings":["Department of Mathematics, University of Bojnord, P.O. Box 1339, Bojnord 9453155111, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bojnord, P.O. Box 1339, Bojnord 9453155111, Iran","institution_ids":["https://openalex.org/I2800768525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089205317","display_name":"Young Bae Jun","orcid":"https://orcid.org/0000-0002-0181-8969"},"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"]},{"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"]}],"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"],"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"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5024280083"],"corresponding_institution_ids":["https://openalex.org/I37802460"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4112,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.664984,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"3","first_page":"399","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9993000030517578,"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":0.9993000030517578,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7438238263130188},{"id":"https://openalex.org/keywords/soft-set","display_name":"Soft set","score":0.6672660112380981},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5902469754219055},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5151737928390503},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4731762707233429},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46778878569602966},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.45657873153686523},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.42015761137008667},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.3628874123096466},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35785916447639465},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28189975023269653},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22053468227386475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.167354553937912},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09963220357894897}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7438238263130188},{"id":"https://openalex.org/C2777037408","wikidata":"https://www.wikidata.org/wiki/Q4310193","display_name":"Soft set","level":3,"score":0.6672660112380981},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5902469754219055},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5151737928390503},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4731762707233429},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46778878569602966},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.45657873153686523},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.42015761137008667},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.3628874123096466},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35785916447639465},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28189975023269653},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22053468227386475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.167354553937912},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09963220357894897},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym11030399","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11030399","pdf_url":"https://www.mdpi.com/2073-8994/11/3/399/pdf?version=1552982112","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f8b1fbe53807489b9144ecf5a38dfc67","is_oa":true,"landing_page_url":"https://doaj.org/article/f8b1fbe53807489b9144ecf5a38dfc67","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":"Symmetry, Vol 11, Iss 3, p 399 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11030399","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11030399","pdf_url":"https://www.mdpi.com/2073-8994/11/3/399/pdf?version=1552982112","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2924500347.pdf","grobid_xml":"https://content.openalex.org/works/W2924500347.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W10032783","https://openalex.org/W46042818","https://openalex.org/W639511749","https://openalex.org/W643165172","https://openalex.org/W1966215102","https://openalex.org/W1966413183","https://openalex.org/W1968053515","https://openalex.org/W1974719612","https://openalex.org/W1978352585","https://openalex.org/W1992301326","https://openalex.org/W2018681270","https://openalex.org/W2088183947","https://openalex.org/W2133295327","https://openalex.org/W2263787491","https://openalex.org/W2339639871","https://openalex.org/W2398898748","https://openalex.org/W2399127044","https://openalex.org/W2409079118","https://openalex.org/W2409879651","https://openalex.org/W2415440072","https://openalex.org/W2495083845","https://openalex.org/W2995989488","https://openalex.org/W4214940931","https://openalex.org/W4285719527","https://openalex.org/W6600423588","https://openalex.org/W6601838128","https://openalex.org/W6641799775","https://openalex.org/W6648120855","https://openalex.org/W6693091319","https://openalex.org/W6703963099","https://openalex.org/W6712667260","https://openalex.org/W6714441814","https://openalex.org/W6716695761","https://openalex.org/W6771607261"],"related_works":["https://openalex.org/W792312258","https://openalex.org/W2398915005","https://openalex.org/W3082692863","https://openalex.org/W2736272056","https://openalex.org/W2784167818","https://openalex.org/W2811336963","https://openalex.org/W2374152511","https://openalex.org/W2087021805","https://openalex.org/W2573957424","https://openalex.org/W22698454"],"abstract_inverted_index":{"Maji":[0,30],"et":[1,31],"al.":[2,32],"introduced":[3,34],"the":[4,14,35,43,74],"concept":[5],"of":[6,13,22,37,58,68,76,87,124],"fuzzy":[7,23,39,53,78,89,95,102,109,126,138,148,160,167],"soft":[8,16,24,40,54,79,90,96,103,110,127,139,149,161,168],"sets":[9,25,41],"as":[10],"a":[11,27],"generalization":[12],"standard":[15],"sets,":[17,55],"and":[18,49,107,116,119],"presented":[19],"an":[20,136,146,158,165],"application":[21],"in":[26,42],"decision-making":[28],"problem.":[29],"also":[33],"notion":[36,75],"intuitionistic":[38,77,88,94,101,108,125,137,147,159,166],"paper":[44],"[P.K.":[45],"Maji,":[46],"R.":[47],"Biswas":[48],"A.R.":[50],"Roy,":[51],"Intuitionistic":[52],"The":[56,66,85],"Journal":[57],"Fuzzy":[59],"Mathematics,":[60],"9":[61],"(2001),":[62],"no.":[63],"3,":[64],"677\u2013692].":[65],"aim":[67],"this":[69],"manuscript":[70],"is":[71],"to":[72,81,144,163],"apply":[73],"set":[80,162],"hyper":[82,91,98,105,112,129,141,151,170],"BCK":[83,92,99,130,142,152,171],"algebras.":[84],"notions":[86],"ideal,":[93,100],"weak":[97,140],"s-weak":[104,150],"BCK-ideal":[106,113],"strong":[111,169],"are":[114,121,132,154,173],"introduced,":[115],"related":[117],"properties":[118],"relations":[120],"investigated.":[122],"Characterizations":[123],"(weak)":[128],"ideal":[131,143,153,172],"considered.":[133],"Conditions":[134,156],"for":[135,157],"be":[145,164],"provided.":[155],"given.":[174]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}