{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:03:02Z","timestamp":1760058182328,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,14]],"date-time":"2025-03-14T00:00:00Z","timestamp":1741910400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this study, we introduced non-Newtonian neutrosophic numbers and non-Newtonian neutrosophic complex numbers by combining two recently popular approaches and examined some of their properties. Furthermore, we presented the non-Newtonian neutrosophic triangle inequality and some properties of the non-Newtonian neutrosophic norm, which can be frequently used in analysis and geometry. Thus, compared to existing studies, we provided a broader perspective for fields such as artificial intelligence, quantum mechanics, medicine, analysis, and geometry.<\/jats:p>","DOI":"10.3390\/axioms14030212","type":"journal-article","created":{"date-parts":[[2025,3,14]],"date-time":"2025-03-14T07:02:16Z","timestamp":1741935736000},"page":"212","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8687-032X","authenticated-orcid":false,"given":"Abdullah","family":"Dertli","sequence":"first","affiliation":[{"name":"Department of Mathematics, Ondokuz May\u0131s University, Samsun 55270, T\u00fcrkiye"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8894-2788","authenticated-orcid":false,"given":"Ceremnur","family":"Tetik","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Ondokuz May\u0131s University, Samsun 55270, T\u00fcrkiye"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,14]]},"reference":[{"key":"ref_1","unstructured":"Grossman, M., and Katz, R. 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