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Convergence of Generalized Nets and Filters in Graded L-Fuzzy Topological Spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2006, v.13 no.1, pp.47-69
Mondal K.K.
Samanta S.K.
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Abstract

In this paper, an idea of graded fuzzy net is introduced; its convergence is studied; Relations between g-net and g-filter are established in L-fuzzy setting.

keywords
fuzzy net, fuzzy filter, gradation of openness, gradation of neighbour hoodness, L-fuzzy topological spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics