Separation axioms in ordered fuzzy topological spaces (Q1319442)

\(T_ i\)-ordered \((i = 1,2)\) as well as regular and \(T_ 3\)-ordered separation axioms are defined in an ordered fuzzy topological space. Some properties of \(T_ i\)-ordered \((i = 1,2,3)\) spaces are proved. A finite fuzzy \(T_ 1\)-ordered space \((X, \tau, \rho)\) is fuzzy \(T_ 2\)-ordered. If \((X, \tau, \rho)\) is fuzzy \(T_ i\)-ordered \((i = 1,2)\) and \(Y \subset X\), then \((Y, \tau_ Y, \rho_ Y)\) is fuzzy \(T_ i\)-ordered. The product of a family of fuzzy \(T_ i\)-ordered \((i = 1,2)\) spaces is also fuzzy \(T_ i\)-ordered. Some examples are given.