{"id":"https://openalex.org/W7136209068","doi":"https://doi.org/10.3390/axioms15030221","title":"Interval-Valued Intuitionistic Fuzzy n-Fold Implicative Filters in Hoop Algebra","display_name":"Interval-Valued Intuitionistic Fuzzy n-Fold Implicative Filters in Hoop Algebra","publication_year":2026,"publication_date":"2026-03-16","ids":{"openalex":"https://openalex.org/W7136209068","doi":"https://doi.org/10.3390/axioms15030221"},"language":"en","primary_location":{"id":"doi:10.3390/axioms15030221","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15030221","pdf_url":"https://www.mdpi.com/2075-1680/15/3/221/pdf?version=1773666504","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://www.mdpi.com/2075-1680/15/3/221/pdf?version=1773666504","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5129538839","display_name":"Amal S. S. Alali","orcid":null},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Amal S. Alali","raw_affiliation_strings":["Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-7856-2861","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5129430427","display_name":"Tahsin Oner","orcid":null},"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"],"raw_orcid":"https://orcid.org/0000-0002-6514-4027","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/A5129454784","display_name":"Ravi Kumar Bandaru","orcid":null},"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":true,"raw_author_name":"Ravi Kumar Bandaru","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati 522237, Andhra Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0001-8661-7914","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":"middle","author":{"id":"https://openalex.org/A5129439946","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"],"raw_orcid":"https://orcid.org/0000-0003-0921-6054","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamil Nadu, India","institution_ids":["https://openalex.org/I125392429"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029340057","display_name":"\u0130brahim \u015eent\u00fcrk","orcid":"https://orcid.org/0000-0001-8296-2796"},"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":false,"raw_author_name":"Ibrahim Senturk","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, T\u00fcrkiye"],"raw_orcid":"https://orcid.org/0000-0001-8296-2796","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, T\u00fcrkiye","institution_ids":["https://openalex.org/I41641357"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5129430427","https://openalex.org/A5129454784"],"corresponding_institution_ids":["https://openalex.org/I41641357","https://openalex.org/I4210131147","https://openalex.org/I4401726783"],"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":0.54532867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"3","first_page":"221","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.49470001459121704,"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":0.49470001459121704,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.2013999968767166,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.09399999678134918,"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/closure","display_name":"Closure (psychology)","score":0.6855999827384949},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6460000276565552},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6025999784469604},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5993000268936157},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.37380000948905945},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.3041999936103821}],"concepts":[{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6855999827384949},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6690999865531921},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6460000276565552},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6025999784469604},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5993000268936157},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.37380000948905945},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.3041999936103821},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30169999599456787},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30149999260902405},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29910001158714294},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2849999964237213},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.2678000032901764},{"id":"https://openalex.org/C2988922011","wikidata":"https://www.wikidata.org/wiki/Q5449244","display_name":"Filtering theory","level":2,"score":0.2540999948978424}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms15030221","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15030221","pdf_url":"https://www.mdpi.com/2075-1680/15/3/221/pdf?version=1773666504","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:doaj.org/article:eb4a226640364f4faf0f4c045c73ce22","is_oa":true,"landing_page_url":"https://doaj.org/article/eb4a226640364f4faf0f4c045c73ce22","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 15, Iss 3, p 221 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms15030221","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms15030221","pdf_url":"https://www.mdpi.com/2075-1680/15/3/221/pdf?version=1773666504","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/G1961318736","display_name":null,"funder_award_id":"PNURSP2026R231","funder_id":"https://openalex.org/F4320322484","funder_display_name":"Princess Nourah Bint Abdulrahman University"}],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7136209068.pdf","grobid_xml":"https://content.openalex.org/works/W7136209068.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"the":[3,43,82],"concept":[4],"of":[5],"interval-valued":[6,46,52,95],"intuitionistic":[7,47,53,96],"fuzzy":[8,48,54,97],"n-fold":[9,49,58,98],"implicative":[10,50,59,99],"filters":[11,100],"in":[12,81,101],"hoop":[13,102],"algebras":[14],"and":[15,24,31,38,56,73,108,113],"explores":[16],"their":[17,28,36],"fundamental":[18],"properties.":[19],"We":[20],"establish":[21],"several":[22],"new":[23,105],"equivalent":[25,106],"characterizations,":[26],"investigate":[27],"closure":[29],"properties,":[30],"provide":[32],"explicit":[33],"algorithms":[34],"for":[35],"construction":[37],"verification.":[39],"Furthermore,":[40],"we":[41],"examine":[42],"relationships":[44,114],"between":[45],"filters,":[51,55],"classical":[57],"filters.":[60],"The":[61,84],"results":[62,85],"presented":[63,86],"here":[64,87],"extend":[65],"beyond":[66],"straightforward":[67],"generalizations,":[68],"offering":[69],"both":[70],"practical":[71],"tools":[72],"theoretical":[74],"insights":[75],"that":[76],"are":[77,111,119],"not":[78],"previously":[79],"available":[80],"literature.":[83],"build":[88],"upon":[89],"earlier":[90],"studies":[91],"by":[92],"systematically":[93],"characterizing":[94],"algebras.":[103],"Several":[104],"conditions":[107],"computational":[109],"methods":[110],"introduced,":[112],"with":[115],"existing":[116],"filter":[117],"concepts":[118],"clarified.":[120]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2026-03-17T00:00:00"}