Abstract :
In this paper, the concepts of ωTi(i = -1, 0, 1, 2) separation axioms, ωθ-closure operator, ωθconvergence, ω*-convergence, (ω1, ω2)-continuity and ω-submolecular lattice in ω-molecular lattices are introduced. Their properties and characterizations are systematically discussed. Some interesting results, such as ωT2 ⇒ωT1 ⇒ ωT0 ⇒ ωT-1 every ωTi(i=-1, 0, 1, 2) separation is hereditary and omega-topological invariant, etc., are given
Keywords :
Boolean algebra; fuzzy logic; topology; ωθ-closure operator; ω*-convergence; ωspl theta/-convergence; molecular lattices; Cybernetics; Lattices; Machine learning; Mathematics; Topology; ω-ML; ω-operator; ωR-neighborhood; Fuzzy lattice; Separation axiom; generalized order-homomorphism; molecule lattice;
