I-FTOP is isomorphic to I-FQN and I-AITOP

摘要

In this paper, we give two characterizations of I-FTOP, the category of I-fuzzy topological spaces and I-fuzzy continuous mappings. First, we construct the category of I-fuzzy quasi-coincident neighborhood spaces and its continuous mappings, denoted I-FQN, and then show that I-FTOP is isomorphic to I-FQN. Second, we construct the category of antichain I-topological spaces and its continuous mappings, denoted I-AITOP, and show that I-FTOP is isomorphic to I-AITOP.