New Structures of Proximity Spaces

Authors

A. Kandil, Mathematics Department, Faculty of Science, Helwan University, Cairo, EgyptFollow
O. A. Tantawy, Mathematics Department, Faculty of Science, Zagazig University, Cairo, EgyptFollow
S. A. El-Sheikh, Mathematics Department, Faculty of Education, Ain Shams University, Cairo, EgyptFollow
A. Zakaria, Mathematics Department, Faculty of Education, Ain Shams University, Cairo, EgyptFollow

Abstract

The purpose of this paper is to construct a new approach of proximity and generalized proximity based on the soft set. Some results on these spaces have obtained and three of the important results are: every soft T4− space is compatible with a proximity relation on P(X)E. In addition, every soft space is compatible with a Pervin proximity relation on P(X)E. It is also shown that every soft Ro−space is compatible with a Lodato proximity relation on P(X)E.

Recommended Citation

Kandil, A.; A. Tantawy, O.; A. El-Sheikh, S.; and Zakaria, A. (2014) "New Structures of Proximity Spaces," Information Sciences Letters: Vol. 3 : Iss. 2 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol3/iss2/7