{"id":"https://openalex.org/W3175362550","doi":"https://doi.org/10.1155/2021/4561087","title":"P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras","display_name":"P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras","publication_year":2021,"publication_date":"2021-06-30","ids":{"openalex":"https://openalex.org/W3175362550","doi":"https://doi.org/10.1155/2021/4561087","mag":"3175362550"},"language":"en","primary_location":{"id":"doi:10.1155/2021/4561087","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2021/4561087","pdf_url":"https://downloads.hindawi.com/journals/afs/2021/4561087.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/afs/2021/4561087.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000965356","display_name":"Wondwosen Zemene Norahun","orcid":"https://orcid.org/0000-0001-6673-9914"},"institutions":[{"id":"https://openalex.org/I8764889","display_name":"University of Gondar","ror":"https://ror.org/0595gz585","country_code":"ET","type":"education","lineage":["https://openalex.org/I8764889"]}],"countries":["ET"],"is_corresponding":true,"raw_author_name":"Wondwosen Zemene Norahun","raw_affiliation_strings":["Department of Mathematics, University of Gondar, Gondar, Ethiopia"],"raw_orcid":"https://orcid.org/0000-0001-6673-9914","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Gondar, Gondar, Ethiopia","institution_ids":["https://openalex.org/I8764889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000965356"],"corresponding_institution_ids":["https://openalex.org/I8764889"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":0.3582,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62974502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2021","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9970999956130981,"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":0.9890000224113464,"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/mathematics","display_name":"Mathematics","score":0.706047534942627},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7024259567260742},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.5633695125579834},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5501627326011658},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5480912923812866},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.460201233625412},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.44874662160873413},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44843146204948425},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4212079346179962},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4165850281715393},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.40662840008735657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14743119478225708},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0931706428527832}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.706047534942627},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7024259567260742},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.5633695125579834},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5501627326011658},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5480912923812866},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.460201233625412},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.44874662160873413},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44843146204948425},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4212079346179962},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4165850281715393},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.40662840008735657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14743119478225708},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0931706428527832},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2021/4561087","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2021/4561087","pdf_url":"https://downloads.hindawi.com/journals/afs/2021/4561087.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4a5a2359d6174f808e20cf44b7be89ff","is_oa":true,"landing_page_url":"https://doaj.org/article/4a5a2359d6174f808e20cf44b7be89ff","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":"Advances in Fuzzy Systems, Vol 2021 (2021)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2021/4561087","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2021/4561087","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2021/4561087","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2021/4561087","pdf_url":"https://downloads.hindawi.com/journals/afs/2021/4561087.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324740","display_name":"University of Gondar","ror":"https://ror.org/0595gz585"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3175362550.pdf","grobid_xml":"https://content.openalex.org/works/W3175362550.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W2002717676","https://openalex.org/W2006138031","https://openalex.org/W2009385169","https://openalex.org/W2044315800","https://openalex.org/W2912856609","https://openalex.org/W2930444455","https://openalex.org/W2940504903","https://openalex.org/W2941739815","https://openalex.org/W2941856863","https://openalex.org/W2957786560","https://openalex.org/W2994153019","https://openalex.org/W3117809956","https://openalex.org/W4205529794","https://openalex.org/W4210778630","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W1486684451","https://openalex.org/W2166637398","https://openalex.org/W2087021805","https://openalex.org/W2374152511","https://openalex.org/W2066929655","https://openalex.org/W4312800262","https://openalex.org/W2148925928","https://openalex.org/W2037428035","https://openalex.org/W1487720066","https://openalex.org/W154406135"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,55],"introduce":[4],"the":[5,44,63],"concept":[6],"of":[7,20,46,65],"p-fuzzy":[8,11,30,47,66,69],"ideals":[9,48,67],"and":[10,32,68],"filters":[12],"in":[13],"a":[14,18,24,29,33,37,50],"p-algebra.":[15],"We":[16],"provide":[17],"set":[19],"equivalent":[21],"conditions":[22],"for":[23],"fuzzy":[25],"ideal":[26,31],"to":[27,35],"be":[28,36],"p-algebra":[34],"Boolean":[38],"algebra.":[39],"It":[40],"is":[41,59],"proved":[42],"that":[43,57],"class":[45,64],"forms":[49],"complete":[51],"distributive":[52],"lattice.":[53],"Moreover,":[54],"show":[56],"there":[58],"an":[60],"isomorphism":[61],"between":[62],"filter.":[70]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
