USUAL FUZZY METRIC SPACE AND FUZZY HEINE-BOREL THEOREM

  • Published : 1995.10.01

Abstract

We shall define the usual fuzzy distance between two fuzzy points in R, the set of all real, numbers, using the usual distance between two points in R. Applying the notion of this usual fuzzy distance, we construct the usual fuzzy topology for R, introduce the notions of lower, stationary and upper cover and obtain the fuzzy Heine-Borel theorem.

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