{"id":"https://openalex.org/W4408447100","doi":"https://doi.org/10.1142/s1793005726500547","title":"Study of the Pseudo-Valuation Functions on Hyper BCK-Algebras","display_name":"Study of the Pseudo-Valuation Functions on Hyper BCK-Algebras","publication_year":2025,"publication_date":"2025-03-14","ids":{"openalex":"https://openalex.org/W4408447100","doi":"https://doi.org/10.1142/s1793005726500547"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005726500547","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500547","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/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":"M. Bakhshi","raw_affiliation_strings":["Department of Mathematics, University of Bojnord, Bojnord, Iran"],"raw_orcid":"https://orcid.org/0000-0001-6552-1307","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bojnord, Bojnord, Iran","institution_ids":["https://openalex.org/I2800768525"]}]},{"author_position":"middle","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":"S. S. Ahn","raw_affiliation_strings":["Department of Mathematics Education, Dongguk University, Seoul 04620, Korea"],"raw_orcid":"https://orcid.org/0000-0003-4129-9814","affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Dongguk University, Seoul 04620, Korea","institution_ids":["https://openalex.org/I205490536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053054418","display_name":"Y. B. Jun","orcid":null},"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"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Y. B. Jun","raw_affiliation_strings":["Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea"],"raw_orcid":"https://orcid.org/0000-0002-0181-8969","affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea","institution_ids":["https://openalex.org/I189442560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072356626","display_name":"R. A. Borzooei","orcid":"https://orcid.org/0000-0001-7538-7885"},"institutions":[{"id":"https://openalex.org/I4210121333","display_name":"Istinye University","ror":"https://ror.org/03081nz23","country_code":"TR","type":"education","lineage":["https://openalex.org/I4210121333"]},{"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","TR"],"is_corresponding":false,"raw_author_name":"R. A. Borzooei","raw_affiliation_strings":["Department of Mathematics, Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkiye","Soft Computer Center, Department of Mathematics, Faculty of Mathematics Science, Shahid Beheshti University, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0001-7538-7885","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkiye","institution_ids":["https://openalex.org/I4210121333"]},{"raw_affiliation_string":"Soft Computer Center, Department of Mathematics, Faculty of Mathematics Science, Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"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":0.05460153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"04","first_page":"1241","last_page":"1268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.909500002861023,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.909500002861023,"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/mathematics","display_name":"Mathematics","score":0.5455531477928162},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4600321054458618},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.4582289159297943},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3537370562553406},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32182973623275757},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.08602756261825562}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5455531477928162},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4600321054458618},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.4582289159297943},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3537370562553406},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32182973623275757},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.08602756261825562},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793005726500547","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005726500547","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1974719612","https://openalex.org/W2004162544","https://openalex.org/W2052496841","https://openalex.org/W2924500347","https://openalex.org/W2985968981","https://openalex.org/W3004335165","https://openalex.org/W3049186473","https://openalex.org/W3119184200","https://openalex.org/W3185376175","https://openalex.org/W3190132443","https://openalex.org/W4214940931"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,46,61,64],"notions":[4],"of":[5,8,35,48],"some":[6],"kinds":[7],"pseudo":[9,15,19,23,66],"valuations":[10,67],"such":[11],"as":[12,39],"positive":[13],"implicative":[14,18],"valuation,":[16,20],"(weak)":[17],"and":[21,33,45,59,70],"commutative":[22],"valuation":[24],"in":[25,73],"different":[26],"types,":[27],"are":[28,37,51,68],"examined.":[29],"Several":[30],"examples,":[31],"properties":[32],"characterizations":[34],"them":[36,44],"given":[38],"well.":[40],"The":[41],"relationships":[42,62],"between":[43],"substructures":[47],"hyper":[49,74],"BCK-algebras":[50,75],"investigated,":[52],"too.":[53],"Finally,":[54],"by":[55],"giving":[56],"various":[57],"examples":[58],"theorems,":[60],"among":[63],"proposed":[65],"investigated":[69],"characterized,":[71],"especially":[72],"with":[76],"three":[77],"elements.":[78]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}