Theory of Distances in NeutroGeometry

Erick González Caballero; Florentin Smarandache

Theory of Distances in NeutroGeometry

Authors

Erick González Caballero Member, Asociación Latinoamericana de Ciencias Neutrosóficas, Havana, Cuba.
Florentin Smarandache University of New Mexico, Mathematics, Physics, and Natural Sciences Division 705 Gurley Ave., Gal lup, NM 87301, USA,

Keywords:

NeutroGeometry, path, rectifiable path, single-valued neutrosophic set, Taxicab geometry, Chi nese checker metric

Abstract

NeutroGeometry is one of the most recent approaches to geometry. In NeutroGeometry mod
els, the main condition is to satisfy an axiom, definition, property, operator and so on, that is neither
entirely true nor entirely false. When one of these concepts is not satisfied at all it is called AntiGeometry.
One of the problems that this new theory has had is the scarcity of models. Another open problem is the
definition of angle and distance measurements within the framework of NeutroGeometry. This paper
aims to introduce a general theory of distance measures in any NeutroGeometry. We also present an
algorithm for distance measurement in real-life problems.

DOI: 10.5281/zenodo.11179970

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Published

2024-05-01

Issue

Vol. 67 (2024): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

Erick González Caballero, & Florentin Smarandache. (2024). Theory of Distances in NeutroGeometry. Neutrosophic Sets and Systems, 67, 179-189. https://fs.unm.edu/nss8/index.php/111/article/view/4451