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A new extension of fuzzy convergence

✍ Scribed by Shui-Li Chen; Sheng-Tao Chen

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
100 KB
Volume
109
Category
Article
ISSN
0165-0114

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✦ Synopsis

Fuzzy net-theory and fuzzy ideal-theory are both very important tools in fuzzy topology. In this paper, a new extension of fuzzy convergence is presented. The N -limit point and N -cluster point of an L-fuzzy net (resp. an L-fuzzy ideal), N -closed set and N -open set in an L-fuzzy topological space are deΓΏned by means of the near N -compactness, and their various properties and mutual relationships are discussed. The N -convergence theory which is a proper generalization of the Moore-Smith convergence theory in fuzzy setting is established.

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