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