Intuitionistic fuzzy proximity spaces

We introduce the concept of the intuitionistic fuzzy proximity as a generalization of fuzzy proximity, and investigate its properties. Also we investigate the relationship among intu-itionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology. 1. Introduction. As a generalization of fuzzy sets, the concept of intuitionistic fuzzy sets was introduced by Atanassov [1]. Recently, Çoker and his colleagues [2, 3, 4] introduced the concept of intuitionistic fuzzy topology which is a generalization of fuzzy topology. Katsaras [5, 6] introduced the concept of fuzzy proximity, and studied the relationship between fuzzy topology and fuzzy proximity. Liu [9] introduced the concept of L-fuzzy proximity for a lattice L, and Liu and Luo [10] studied the relation between L-fuzzy proximity and L-fuzzy uniformity. Also, Khare [7] studied the relationship be