{"id":"https://openalex.org/W4389777642","doi":"https://doi.org/10.1155/2023/4526348","title":"The Fuzzy Prime Spectrum of Partially Ordered Sets","display_name":"The Fuzzy Prime Spectrum of Partially Ordered Sets","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4389777642","doi":"https://doi.org/10.1155/2023/4526348"},"language":"en","primary_location":{"id":"doi:10.1155/2023/4526348","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/4526348","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2023/4526348.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","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/ijmms/2023/4526348.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066226233","display_name":"Derso Abeje Engidaw","orcid":"https://orcid.org/0000-0002-1179-7057"},"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":false,"raw_author_name":"Derso Abeje Engidaw","raw_affiliation_strings":["Department of Mathematics, University of Gondar, P.O. Box 196, Gondar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Gondar, P.O. Box 196, Gondar","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047323933","display_name":"Gezahagne Mulat Addis","orcid":"https://orcid.org/0000-0002-6735-6832"},"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":"Gezahagne Mulat Addis","raw_affiliation_strings":["Department of Mathematics, University of Gondar, P.O. Box 196, Gondar"],"raw_orcid":"https://orcid.org/0000-0002-6735-6832","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Gondar, P.O. Box 196, Gondar","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"middle","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":false,"raw_author_name":"Wondwosen Zemene Norahun","raw_affiliation_strings":["Department of Mathematics, University of Gondar, P.O. Box 196, Gondar"],"raw_orcid":"https://orcid.org/0000-0001-6673-9914","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Gondar, P.O. Box 196, Gondar","institution_ids":["https://openalex.org/I8764889"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020785993","display_name":"Dereje Kifle Boku","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136909","display_name":"Dilla University","ror":"https://ror.org/04ahz4692","country_code":"ET","type":"education","lineage":["https://openalex.org/I4210136909"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Dereje Kifle Boku","raw_affiliation_strings":["Department of Mathematics, Dilla University, P.O. Box 465, Dilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dilla University, P.O. Box 465, Dilla","institution_ids":["https://openalex.org/I4210136909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093503941","display_name":"Habtu Bayafers Demrew","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136909","display_name":"Dilla University","ror":"https://ror.org/04ahz4692","country_code":"ET","type":"education","lineage":["https://openalex.org/I4210136909"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Habtu Bayafers Demrew","raw_affiliation_strings":["Department of Mathematics, Dilla University, P.O. Box 465, Dilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dilla University, P.O. Box 465, Dilla","institution_ids":["https://openalex.org/I4210136909"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093503942","display_name":"Tewodros Argachew Degefa","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136909","display_name":"Dilla University","ror":"https://ror.org/04ahz4692","country_code":"ET","type":"education","lineage":["https://openalex.org/I4210136909"]}],"countries":["ET"],"is_corresponding":false,"raw_author_name":"Tewodros Argachew Degefa","raw_affiliation_strings":["Department of Mathematics, Dilla University, P.O. Box 465, Dilla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Dilla University, P.O. Box 465, Dilla","institution_ids":["https://openalex.org/I4210136909"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5047323933"],"corresponding_institution_ids":["https://openalex.org/I8764889"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.2398,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61566911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"2023","issue":"1","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9983000159263611,"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":0.9919000267982483,"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/mathematics","display_name":"Mathematics","score":0.9169871211051941},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6843264698982239},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6527331471443176},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.5663914680480957},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.5191909074783325},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4943239688873291},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4888548254966736},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4840216338634491},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.417804479598999},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37636926770210266},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3656964600086212},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3241386413574219},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10704731941223145},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05876550078392029}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9169871211051941},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6843264698982239},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6527331471443176},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5663914680480957},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.5191909074783325},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4943239688873291},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4888548254966736},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4840216338634491},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.417804479598999},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37636926770210266},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3656964600086212},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3241386413574219},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10704731941223145},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05876550078392029},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2023/4526348","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/4526348","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2023/4526348.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:4526348","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/ijmms/2023/4526348.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:98bf4445744b44c6bdd45b88b3a4d1ef","is_oa":true,"landing_page_url":"https://doaj.org/article/98bf4445744b44c6bdd45b88b3a4d1ef","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":"International Journal of Mathematics and Mathematical Sciences, Vol 2023 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2023/4526348","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/4526348","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2023/4526348.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"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":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320331477","display_name":"Dilla University","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4389777642.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1949047683","https://openalex.org/W1969988905","https://openalex.org/W2043231973","https://openalex.org/W2054416947","https://openalex.org/W2059276345","https://openalex.org/W2062716651","https://openalex.org/W2073142727","https://openalex.org/W2081939591","https://openalex.org/W2100579677","https://openalex.org/W2161108438","https://openalex.org/W2293084871","https://openalex.org/W2325967599","https://openalex.org/W2340362134","https://openalex.org/W2611597622","https://openalex.org/W2941810626","https://openalex.org/W2971105094","https://openalex.org/W2994153019","https://openalex.org/W3013122546","https://openalex.org/W3047969049","https://openalex.org/W4246884762","https://openalex.org/W7024933420","https://openalex.org/W7052509895"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W1963087247","https://openalex.org/W4312224320","https://openalex.org/W2347443236","https://openalex.org/W4205203210","https://openalex.org/W1980381208","https://openalex.org/W2146274131","https://openalex.org/W174023083","https://openalex.org/W4317932689"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,9,20,30,34],"space":[3,10],"of":[4,11,38],"prime":[5,36],"fuzzy":[6,13,35],"ideals":[7,14],"(and":[8],"maximal":[12],"as":[15],"a":[16,39],"subspace)":[17],"equipped":[18],"with":[19],"hull\u2010kernel":[21],"topology":[22],"in":[23],"partially":[24],"ordered":[25],"sets.":[26],"Mainly,":[27],"we":[28],"investigate":[29],"conditions":[31],"for":[32],"which":[33],"spectrum":[37],"poset":[40],"is":[41],"compact,":[42],"Hausdorff,":[43],"and":[44],"normal,":[45],"respectively.":[46]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}