α-Generalized-Convergence Theory of L-fuzzy Ideals and its Applications

The convergence theory not only is a significantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, the α-generalized convergence theory of L-fuzzy ideals is explored by the concept of α-generalized-remote-neighborhood, and the relationships of L-fuzzy ideals and L-fuzzy nets are discussed. In addition, some properties of the notions mentioned above and α-g-continuity and α-g-irresoluteness are studied with the aid of the α-generalized-convergence of L-fuzzy ideals.