β-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 β-convergence theory of L-fuzzy ideals is explored by the concept of β-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 β-continuity and β-irresoluteness are studied with the aid of the β-convergence of L-fuzzy ideals.