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Al-Tai, Abdul Hameed Q. A.

On the fuzzy convergence. (English) Zbl 1235.26020

J. Appl. Math. 2011, Article ID 147130, 8 p. (2011).
Summary: The aim of this paper is to introduce and study the fuzzy neighborhood, the limit fuzzy number, the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence on the base which is adopted by Abdul Hameed (every real number \(r\) is replaced by a fuzzy number \(\overline r\) (either triangular fuzzy number or singleton fuzzy set (fuzzy point))). And then, we will consider that some results respect effect of the upper sequence on the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence.

Cited in 1 Document

MSC:

26E50 Fuzzy real analysis
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\textit{A. H. Q. A. Al-Tai}, J. Appl. Math. 2011, Article ID 147130, 8 p. (2011; Zbl 1235.26020)
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