A New Construction of Spheres Via Soft Real Numbers and Soft Points
Mathematics Letters
Volume 4, Issue 3, September 2018, Pages: 39-43
Received: Aug. 23, 2018; Accepted: Sep. 19, 2018; Published: Oct. 12, 2018
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Author
Güzide Şenel, Department of Mathematics, Amasya University, Amasya, Turkey
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Abstract
This study is intended as an attempt to bring together the areas of spheres, soft real numbers and soft points. Relating spheres to soft real numbers and soft points provides a natural and intrinsic construction of soft spheres. In this paper a new construction of spheres is provided via soft real numbers and soft points. This new construction sheds light on soft sphere applications for analyzing the locus of them. Also, several related results have been obtained. It is proved that spheres play an important role in the theory of soft metric spaces with taking into consideration soft points. This viewpoint sheds some new light on soft sphere examples and drawings for analyzing the locus of them. This new approach may be the starting point for soft mathematical concepts and structures based on soft set-theoric operations in soft metric spaces and stimulate the reader to further research.
Keywords
Sphere, Soft Real Number, Soft Point, Soft Metric
To cite this article
Güzide Şenel, A New Construction of Spheres Via Soft Real Numbers and Soft Points, Mathematics Letters. Vol. 4, No. 3, 2018, pp. 39-43. doi: 10.11648/j.ml.20180403.11
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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