Extensions of the Proximity and Uniformity spaces via Completely residuated lattice

  Fathei  M. Zeyada  and  Mohammed . M. Khalaf

 Department of  Mathematics, Faculty of  Science, Al Azhar University, Assiut, Egypt

Current Address : Al-Zulfi College of Science, Majmaah University, Al-Zulfi,  11932, P.O. Box 1712, Saudi Arabia.    

 Abstract

In this paper the concept of proximity in -fuzzifying topology is established and some of its properties are discussed. Furthermore we introduce and study the concepts of -fuzzifying uniform space and-fuzzifying strong uniform space.

 Keywords. -fuzzifying topology, -fuzzifying proximity, -fuzzifying uniformity, -fuzzifying strong uniformity.