{"id":"https://openalex.org/W4409889896","doi":"https://doi.org/10.3390/axioms14050338","title":"An Investigation into Bipolar Fuzzy Hoop Algebras and Their Applications","display_name":"An Investigation into Bipolar Fuzzy Hoop Algebras and Their Applications","publication_year":2025,"publication_date":"2025-04-28","ids":{"openalex":"https://openalex.org/W4409889896","doi":"https://doi.org/10.3390/axioms14050338"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14050338","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14050338","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms14050338","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059402124","display_name":"Tahsin \u00d6ner","orcid":"https://orcid.org/0000-0002-6514-4027"},"institutions":[{"id":"https://openalex.org/I41641357","display_name":"Ege University","ror":"https://ror.org/02eaafc18","country_code":"TR","type":"education","lineage":["https://openalex.org/I41641357"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Tahsin Oner","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, T\u00fcrkiye","institution_ids":["https://openalex.org/I41641357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5117362008","display_name":"Rajesh Neelamegarajan","orcid":null},"institutions":[{"id":"https://openalex.org/I125392429","display_name":"Tamil University","ror":"https://ror.org/0534dba08","country_code":"IN","type":"education","lineage":["https://openalex.org/I125392429"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajesh Neelamegarajan","raw_affiliation_strings":["Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamil Nadu, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamil Nadu, India","institution_ids":["https://openalex.org/I125392429"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034996172","display_name":"Ravikumar Bandaru","orcid":"https://orcid.org/0000-0001-8661-7914"},"institutions":[{"id":"https://openalex.org/I4210131147","display_name":"SRM University","ror":"https://ror.org/037skf023","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018","https://openalex.org/I4210131147"]},{"id":"https://openalex.org/I4401726783","display_name":"VIT-AP University","ror":"https://ror.org/007v4hf75","country_code":null,"type":"education","lineage":["https://openalex.org/I4401726783"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ravi Kumar Bandaru","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati 522237, Andhra Pradesh, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati 522237, Andhra Pradesh, India","institution_ids":["https://openalex.org/I4210131147","https://openalex.org/I4401726783"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061256797","display_name":"Hashem Bordbar","orcid":"https://orcid.org/0000-0003-3871-217X"},"institutions":[{"id":"https://openalex.org/I192455894","display_name":"University of Nova Gorica","ror":"https://ror.org/00mw0tw28","country_code":"SI","type":"education","lineage":["https://openalex.org/I192455894"]}],"countries":["SI"],"is_corresponding":false,"raw_author_name":"Hashem Bordbar","raw_affiliation_strings":["Centre for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, Slovenia"],"affiliations":[{"raw_affiliation_string":"Centre for Information Technologies and Applied Mathematics, University of Nova Gorica, 5000 Nova Gorica, Slovenia","institution_ids":["https://openalex.org/I192455894"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5059402124"],"corresponding_institution_ids":["https://openalex.org/I41641357"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09762519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"5","first_page":"338","last_page":"338"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9990000128746033,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9876999855041504,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.5701814889907837},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36031031608581543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34666872024536133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3454262912273407},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21006929874420166},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19495955109596252}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5701814889907837},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36031031608581543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34666872024536133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3454262912273407},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21006929874420166},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19495955109596252}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/axioms14050338","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14050338","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:d.cobiss.net/repository/si:234549507","is_oa":true,"landing_page_url":"https://www.mdpi.com/2075-1680/14/5/338","pdf_url":"https://www.mdpi.com/2075-1680/14/5/338/pdf","source":{"id":"https://openalex.org/S7407055177","display_name":"dCOBISS.SI Digital Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"COBISS-ID: 519951897","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:repozitorij.ung.si:IzpisGradiva.php?id=10013","is_oa":true,"landing_page_url":"https://repozitorij.ung.si/Dokument.php?id=32041&dn=","pdf_url":"https://www.mdpi.com/2075-1680/14/5/338/pdf?version=1745837106","source":{"id":"https://openalex.org/S7407055115","display_name":"RUNG","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 2075-1680","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:37d91ca9eeaa459a9e3d6d89613ce079","is_oa":true,"landing_page_url":"https://doaj.org/article/37d91ca9eeaa459a9e3d6d89613ce079","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 5, p 338 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14050338","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14050338","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7530123626","display_name":null,"funder_award_id":"P2-0103","funder_id":"https://openalex.org/F4320322554","funder_display_name":"Javna Agencija za Raziskovalno Dejavnost RS"}],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W269873051","https://openalex.org/W1965682580","https://openalex.org/W1972451186","https://openalex.org/W2109958033","https://openalex.org/W2327399590","https://openalex.org/W2592363313","https://openalex.org/W2755421039","https://openalex.org/W2778027448","https://openalex.org/W2778965620","https://openalex.org/W2924574475","https://openalex.org/W4211007335","https://openalex.org/W6701720315","https://openalex.org/W6703816463","https://openalex.org/W6747508651"],"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":{"This":[0],"paper":[1],"introduces":[2],"bipolar":[3,7,44],"fuzzy":[4,8,14,45,87],"sub-hoops":[5],"and":[6,20,32,50,67,75],"filters":[9,46],"within":[10],"hoop":[11],"algebras,":[12],"extending":[13],"logic":[15,66],"to":[16],"incorporate":[17],"both":[18],"positive":[19],"negative":[21],"membership":[22],"degrees.":[23],"We":[24],"define":[25],"these":[26],"structures,":[27],"explore":[28],"their":[29,34],"algebraic":[30],"properties,":[31],"establish":[33],"interplay":[35],"through":[36],"rigorous":[37],"theorems.":[38],"Key":[39],"results":[40],"include":[41],"characterizations":[42],"of":[43,64],"via":[47],"level":[48],"sets":[49],"conditions":[51],"under":[52,78],"which":[53],"they":[54],"become":[55],"implicative":[56],"filters.":[57],"These":[58],"findings":[59],"enhance":[60],"the":[61],"theoretical":[62],"framework":[63],"many-valued":[65],"offer":[68],"practical":[69],"applications":[70],"in":[71],"decision-making,":[72],"image":[73],"processing,":[74],"spatial":[76],"reasoning":[77],"uncertainty.":[79],"Our":[80],"work":[81],"provides":[82],"a":[83],"foundation":[84],"for":[85],"advanced":[86],"systems":[88],"handling":[89],"complex,":[90],"contradictory":[91],"information.":[92]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}