Generalized (α, β)-convex fuzzy cones

In this paper, we give the definition of generalized (α, β)-convex fuzzy cone by fuzzy points and generalized “quasi-coincident with” relationship, and discuss some of the fundamental properties of such convex fuzzy cone. Generalized (α, β)-convex fuzzy cone is the union and expansion of convex fuzzy cone defined by Yuan Xue-hai and ordinary convex fuzzy cone.