{"id":"https://openalex.org/W2173099768","doi":"https://doi.org/10.3233/ifs-151869","title":"Hesitant fuzzy semigroups with a frontier","display_name":"Hesitant fuzzy semigroups with a frontier","publication_year":2015,"publication_date":"2015-11-14","ids":{"openalex":"https://openalex.org/W2173099768","doi":"https://doi.org/10.3233/ifs-151869","mag":"2173099768"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-151869","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151869","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","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/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"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Young Bae Jun","raw_affiliation_strings":["Department of Mathematics Education, Gyeongsang National University, Jinju, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Gyeongsang National University, Jinju, Korea","institution_ids":["https://openalex.org/I189442560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044344045","display_name":"Seok-Zun Song","orcid":"https://orcid.org/0000-0002-2383-664X"},"institutions":[{"id":"https://openalex.org/I83202590","display_name":"Jeju National University","ror":"https://ror.org/05hnb4n85","country_code":"KR","type":"education","lineage":["https://openalex.org/I83202590"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Seok-Zun Song","raw_affiliation_strings":["Department of Mathematics, Jeju National University, Jeju, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Jeju National University, Jeju, Korea","institution_ids":["https://openalex.org/I83202590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035644463","display_name":"G. Muhiuddin","orcid":"https://orcid.org/0000-0002-5596-5841"},"institutions":[{"id":"https://openalex.org/I72264486","display_name":"University of Tabuk","ror":"https://ror.org/04yej8x59","country_code":"SA","type":"education","lineage":["https://openalex.org/I72264486"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"G. Muhiuddin","raw_affiliation_strings":["Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia","E-mail:","Fax: +82 64 725 2573"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tabuk, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]},{"raw_affiliation_string":"E-mail:","institution_ids":[]},{"raw_affiliation_string":"Fax: +82 64 725 2573","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044344045"],"corresponding_institution_ids":["https://openalex.org/I83202590"],"apc_list":null,"apc_paid":null,"fwci":0.8012,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.78393519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"30","issue":"3","first_page":"1613","last_page":"1618"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.996999979019165,"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":0.996999979019165,"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":0.9763000011444092,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9696000218391418,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/homomorphism","display_name":"Homomorphism","score":0.7305507063865662},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6904926300048828},{"id":"https://openalex.org/keywords/frontier","display_name":"Frontier","score":0.6728947162628174},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.639374852180481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5601187348365784},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5484824180603027},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3704662322998047},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33995452523231506},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.308970183134079},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26794713735580444},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.06553009152412415}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7305507063865662},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6904926300048828},{"id":"https://openalex.org/C2778571376","wikidata":"https://www.wikidata.org/wiki/Q1355821","display_name":"Frontier","level":2,"score":0.6728947162628174},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.639374852180481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5601187348365784},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5484824180603027},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3704662322998047},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33995452523231506},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.308970183134079},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26794713735580444},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.06553009152412415},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-151869","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151869","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6800000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W84997744","https://openalex.org/W1967510083","https://openalex.org/W1969352744","https://openalex.org/W1978062397","https://openalex.org/W1984502995","https://openalex.org/W2050262998","https://openalex.org/W2063149790","https://openalex.org/W2116365436","https://openalex.org/W2131390763","https://openalex.org/W2163848689","https://openalex.org/W2167967165","https://openalex.org/W2514622526","https://openalex.org/W2912565176","https://openalex.org/W3143689354","https://openalex.org/W6677627226","https://openalex.org/W6679780668","https://openalex.org/W6725947917"],"related_works":["https://openalex.org/W4226099950","https://openalex.org/W2347401120","https://openalex.org/W2310010941","https://openalex.org/W1988132375","https://openalex.org/W2334292868","https://openalex.org/W579144800","https://openalex.org/W2046798653","https://openalex.org/W2069525434","https://openalex.org/W2755430855","https://openalex.org/W2390566315"],"abstract_inverted_index":{"The":[0,41],"notion":[1],"of":[2,18,47,67],"a":[3,8,19,24,29,32,37,53,68,73],"hesitant":[4,20,42,45,49,60,64,69],"fuzzy":[5,21,50,61,65,70],"semigroup":[6,22,71],"with":[7,23,52,72],"frontier":[9,25,54,74],"is":[10,39],"introduced,":[11],"and":[12,28,44,58,63],"several":[13],"properties":[14],"are":[15,26,55,78],"investigated.":[16],"Characterizations":[17],"considered,":[27],"condition":[30],"for":[31],"special":[33],"set":[34],"to":[35],"be":[36],"subsemigroup":[38],"provided.":[40],"union":[43],"intersection":[46],"two":[48],"semigroups":[51],"dealt":[56],"with,":[57],"the":[59,76],"pre-image":[62],"image":[66],"under":[75],"homomorphism":[77],"discussed.":[79]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}