• Journal of the Korean Institute of Intelligent Systems
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• v.17 no.1
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• pp.143-147
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• 2007

With a new ordinary norm as an analogy of Krishna and Sarma[5] and Bag and Samanta[1], we will characterize the notions of the convergence of the sequences of fuzzy points, the fuzzy, ${\alpha}$-Cauchy sequence and fuzzy completeness.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.1
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• pp.97-103
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• 2012

In this paper, we introduce the notion of the statist-cally fuzzy convergent sequence and the statistical fuzzy ${\alpha}$-Cauchy sequence of fuzzy points in a fuzzy normed linear space. And investigate some related properties.

• Journal of the Korean Institute of Intelligent Systems
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• v.15 no.5
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• pp.639-642
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• 2005

In this paper, we introduce the notions of the convergence in the sense of ${\alpha}$-level and the fuzzy completeness on a fuzzy normed linear space. And we investigate related properties.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.3
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• pp.347-354
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• 2008

In this paper, we will show that ($CF(X,K),{\chi}_{{\parallel}{\mid}{\cdot}{\parallel}{\mid}}$) is a fuzzy Banach space using that the dual space $X^*$ of a normed linear space X is a crisp Banach space. And for a normed linear space Y instead of a scalar field K, we obtain ($CF(X,Y),{\rho}^*$) is a fuzzy Banach space under the some conditions.