{"id":"https://openalex.org/W4408453680","doi":"https://doi.org/10.3390/axioms14030212","title":"New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers","display_name":"New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers","publication_year":2025,"publication_date":"2025-03-14","ids":{"openalex":"https://openalex.org/W4408453680","doi":"https://doi.org/10.3390/axioms14030212"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14030212","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030212","pdf_url":"https://www.mdpi.com/2075-1680/14/3/212/pdf?version=1741947234","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/2075-1680/14/3/212/pdf?version=1741947234","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071226571","display_name":"Abdullah Dertli","orcid":"https://orcid.org/0000-0001-8687-032X"},"institutions":[{"id":"https://openalex.org/I227306068","display_name":"Ondokuz May\u0131s University","ror":"https://ror.org/028k5qw24","country_code":"TR","type":"education","lineage":["https://openalex.org/I227306068"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Abdullah Dertli","raw_affiliation_strings":["Department of Mathematics, Ondokuz May\u0131s University, Samsun 55270, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ondokuz May\u0131s University, Samsun 55270, T\u00fcrkiye","institution_ids":["https://openalex.org/I227306068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023022243","display_name":"Ceremnur Tetik","orcid":"https://orcid.org/0000-0001-8894-2788"},"institutions":[{"id":"https://openalex.org/I227306068","display_name":"Ondokuz May\u0131s University","ror":"https://ror.org/028k5qw24","country_code":"TR","type":"education","lineage":["https://openalex.org/I227306068"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ceremnur Tetik","raw_affiliation_strings":["Department of Mathematics, Ondokuz May\u0131s University, Samsun 55270, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ondokuz May\u0131s University, Samsun 55270, T\u00fcrkiye","institution_ids":["https://openalex.org/I227306068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071226571"],"corresponding_institution_ids":["https://openalex.org/I227306068"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05199197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"3","first_page":"212","last_page":"212"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9829000234603882,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9829000234603882,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4338081181049347},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3839101493358612},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35158300399780273}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4338081181049347},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3839101493358612},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35158300399780273}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14030212","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030212","pdf_url":"https://www.mdpi.com/2075-1680/14/3/212/pdf?version=1741947234","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:14d3dfb0dd594b5a9ea8abd9d6c16c06","is_oa":true,"landing_page_url":"https://doaj.org/article/14d3dfb0dd594b5a9ea8abd9d6c16c06","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 3, p 212 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14030212","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14030212","pdf_url":"https://www.mdpi.com/2075-1680/14/3/212/pdf?version=1741947234","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408453680.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W2022456747","https://openalex.org/W2102808049","https://openalex.org/W2886768461","https://openalex.org/W3113639899","https://openalex.org/W3122740075","https://openalex.org/W3126949553","https://openalex.org/W3184826897","https://openalex.org/W3186825494","https://openalex.org/W3209373127","https://openalex.org/W4285713337","https://openalex.org/W4294335253","https://openalex.org/W4310240031","https://openalex.org/W4317614443","https://openalex.org/W4323054908","https://openalex.org/W4366163926","https://openalex.org/W4386865411","https://openalex.org/W4396535352","https://openalex.org/W6787600587","https://openalex.org/W6849005384"],"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":{"In":[0],"this":[1],"study,":[2],"we":[3,26,55],"introduced":[4],"non-Newtonian":[5,9,29,38],"neutrosophic":[6,10,30,39],"numbers":[7,12],"and":[8,19,33,48,70],"complex":[11],"by":[13],"combining":[14],"two":[15],"recently":[16],"popular":[17],"approaches":[18],"examined":[20],"some":[21,34],"of":[22,36],"their":[23],"properties.":[24],"Furthermore,":[25],"presented":[27],"the":[28,37],"triangle":[31],"inequality":[32],"properties":[35],"norm,":[40],"which":[41],"can":[42],"be":[43],"frequently":[44],"used":[45],"in":[46],"analysis":[47],"geometry.":[49,71],"Thus,":[50],"compared":[51],"to":[52],"existing":[53],"studies,":[54],"provided":[56],"a":[57],"broader":[58],"perspective":[59],"for":[60],"fields":[61],"such":[62],"as":[63],"artificial":[64],"intelligence,":[65],"quantum":[66],"mechanics,":[67],"medicine,":[68],"analysis,":[69]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}