α-GENERALIZED-CONVERGENCE THEORY OF L-FUZZY NETS AND ITS APPLICATIONS

Bin Chen

α-GENERALIZED-CONVERGENCE THEORY OF L-FUZZY NETS AND ITS APPLICATIONS

Authors

Bin Chen University of Jinan - Department of Mathematics

Keywords:

L-fuzzy topology, L-fuzzy nets, α-generalized fuzzy closed sets, α-generalized fuzzy open sets, α-generalized-remote-neighborhood, α-generalized-convergence

Abstract

The convergence theory not only is an signi¯cantly basic theory of fuzzy topology and fuzzy analysis but also has wide applications in fuzzy inference and some other aspects. In this paper, we introduce the concept of α-generalized-remote-neighborhood of fuzzy points and establish the Moore-Smith α-generalized-convergence theory of L-fuzzy nets. Then, we introduce and study the concept of L-fuzzy α-generalized-irresolute mappings and L-fuzzy α-generalized compactness. Also we discuss the applications of α-generalized-convergence of L-fuzzy nets.

Cover of n°27 Italian Journal of Pure and Applied Mathematics

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Published

2010-12-15

How to Cite

Chen, B. (2010). α-GENERALIZED-CONVERGENCE THEORY OF L-FUZZY NETS AND ITS APPLICATIONS. Italian Journal of Pure and Applied Mathematics, 27, 167–178. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5848