Q-convergence of nets and weak separation axioms in fuzzy lattices

Abstract In this paper, we introduce the concept of Q -remote-neighborhood and establish the Q -convergence theory of nets in fuzzy lattices. Next, we introduce the ST i ( i = −1,0,1,2) separation axioms in fuzzy lattices, and discuss some of their characterizations. Finally, we introduce and study S -irresolute order-homomorphism and S -homeomorphism, discuss the application of Q -convergence of nets and show that the ST i ( i = −1,0,1,2) separability is preserved under S -homeomorphism.