An Algebraic Approach toNeutrosophicEuclidean Geometry

Authors

  • Mohammad Abobala Faculty of science,Department of MathematicsTishreen University
  • Ahmad Hatip Department of Mathematics, Gaziantep University,Gaziantep

Keywords:

NeutrosophicPlane, Neutrosophic Absolute Value, Neutrosophic Distance, Neutrosophic Midpoint, Neutrosophic Vectors, Neutrosophic Circles, Neutrosophic Lines.

Abstract

The objective of this paper is to present a general definition of Neutrosophic Euclidean geometry.The mechanism of comparison between neutrosophic numbers is introduced, as well as the absolute value is extended to the neutrosophical case. In addition, the concept of neutrosophicplane with ð‘›neutrosophicdimensions is obtained. Also, Euclidean geometric concepts are extended neutrosophically such as neutrosophic distance, neutrosophic midpoint, neutrosophic vectors, neutrosophic circles, and lines. A connection between neutrosophic geometrical concepts and classical Euclidean geometry is described and established.

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Published

2021-07-09

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Abobala, M. ., & Hatip, A. . (2021). An Algebraic Approach toNeutrosophicEuclidean Geometry. Neutrosophic Sets and Systems, 43, 114-123. https://fs.unm.edu/nss8/index.php/111/article/view/1465