{"id":"https://openalex.org/W7154592906","doi":"https://doi.org/10.1007/s40314-026-03693-6","title":"Extension and structural development of fuzzy (generalized) bi-ideals in ordered semigroups","display_name":"Extension and structural development of fuzzy (generalized) bi-ideals in ordered semigroups","publication_year":2026,"publication_date":"2026-03-31","ids":{"openalex":"https://openalex.org/W7154592906","doi":"https://doi.org/10.1007/s40314-026-03693-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-026-03693-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03693-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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/A5133767792","display_name":"Ahsan Mahboob","orcid":null},"institutions":[{"id":"https://openalex.org/I121750182","display_name":"National Institute of Technology Warangal","ror":"https://ror.org/017ebfz38","country_code":"IN","type":"education","lineage":["https://openalex.org/I121750182"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ahsan Mahboob","raw_affiliation_strings":["Department of Mathematics, School of Computer Science and Artificial Intelligence, SR University, 506371, Warangal, Telangana, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Computer Science and Artificial Intelligence, SR University, 506371, Warangal, Telangana, India","institution_ids":["https://openalex.org/I121750182"]}]},{"author_position":"middle","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":"Ghulam Muhiuddin","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, 71491,, Tabuk, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, 71491,, Tabuk, Saudi Arabia","institution_ids":["https://openalex.org/I72264486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133766822","display_name":"Young Bae 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":"Young Bae Jun","raw_affiliation_strings":["Department of Mathematics Education, Gyeongsang National University, 52828, Jinju, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Gyeongsang National University, 52828, Jinju, Korea","institution_ids":["https://openalex.org/I189442560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5133757871","display_name":"Bijan Davvaz","orcid":null},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Bijan Davvaz","raw_affiliation_strings":["Department of Mathematical Sciences, Yazd University, Yazd, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5133767792"],"corresponding_institution_ids":["https://openalex.org/I121750182"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.95470044,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9912999868392944,"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":0.9912999868392944,"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":0.003000000026077032,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.002899999963119626,"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/converse","display_name":"Converse","score":0.817300021648407},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6104000210762024},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6039999723434448},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5888000130653381},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.534600019454956},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5081999897956848},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4964999854564667}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8790000081062317},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.817300021648407},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6104000210762024},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6039999723434448},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5888000130653381},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.534600019454956},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5081999897956848},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4964999854564667},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47110000252723694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45339998602867126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44999998807907104},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.40310001373291016},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39980000257492065},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3765999972820282},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.3176000118255615},{"id":"https://openalex.org/C2776542497","wikidata":"https://www.wikidata.org/wiki/Q5266672","display_name":"Development (topology)","level":2,"score":0.3174000084400177},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.3118000030517578},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.2565000057220459}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-026-03693-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-026-03693-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W68061470","https://openalex.org/W2001185642","https://openalex.org/W2009734054","https://openalex.org/W2031791047","https://openalex.org/W2035700661","https://openalex.org/W2043313692","https://openalex.org/W2072175320","https://openalex.org/W2088868818","https://openalex.org/W2093457081","https://openalex.org/W2942968443","https://openalex.org/W2988431098","https://openalex.org/W3006154863","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4289530044","https://openalex.org/W4362469556","https://openalex.org/W4381683509","https://openalex.org/W4382135814","https://openalex.org/W4391512380","https://openalex.org/W4404130718","https://openalex.org/W4412915611"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-17T06:04:52.305304","created_date":"2026-04-17T00:00:00"}