• Journal of the Chungcheong Mathematical Society
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• v.31 no.3
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• pp.333-341
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• 2018

In this paper we introduce the concept of equi-integrability of sequence of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions. Under this concept, we prove two convergence theorems for sequences of the fuzzy number-valued AP-Henstock-Stieltjes integrable functions.

• Communications of the Korean Mathematical Society
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• v.12 no.3
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• pp.755-768
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• 1997

In this paper we introduce a new concept of negative dependence of multivariate random variables. This concept is weaker than the negative orthant dependence(NOD) but it enjoys some properties and preservation results of NOD.

• Honam Mathematical Journal
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• v.32 no.1
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• pp.53-60
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• 2010

The concept of discrete curvature is a discretization of the curvature. Many literatures introduce discrete curvatures derived from arc length of circular arcs. We propose a new concept of discrete curvature of a polygon at each vertex, which is derived from area of fan shapes. We estimate the error of the discrete curvature and compare the discrete curvature with old one.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.1
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• pp.39-47
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• 2009

Pan, Shen and Woo [8] introduced the concept of the G-sequence of a map. We introduce the G'-sequence of a map, which is a dual concept of the G-sequence of a map. We obtain some sufficient conditions for the all sets in the G'-sequence of a map are groups, and for the exact G'-sequence of a map.

• East Asian mathematical journal
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• v.28 no.1
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• pp.1-11
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• 2012

In this paper, the concept of fuzzy soft module is introduced, some of their properties are discussed. Furthermore, the concept of fuzzy soft exactness is also given.

• Journal of the Chungcheong Mathematical Society
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• v.1 no.1
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• pp.55-64
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• 1988

We introduce the concept of a w-Lindel$\ddot{o}$f space which is a more general concept than that of a Lindel$\ddot{o}$f spaces. We obtain some characterization about H-closed sapces and w-Lindel$\ddot{o}$f spaces. Also, we investigate their invariance properties.

• East Asian mathematical journal
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• v.18 no.1
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• pp.59-73
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• 2002

Using the concept of fuzzy spaces, which was introduced by Dib. The fuzzy external and internal product of fuzzy subgroups are defined. Further it is obtained the relation between the introduced concept and the direct product of fuzzy subgroups on fuzzy subsets.

• The Mathematical Education
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• v.39 no.1
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• pp.37-47
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• 2000

Number concept is basic in mathematics education. But it is very complex and is not easy to understand real number concept, because of its infinity. This study tried to show that what percents of secondary school mathematics teachers in Korea understood the properties of real number, such as cardinality, continuity, relation with real line, and infinity, which were written by verbal language.

• Communications of the Korean Mathematical Society
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• v.38 no.1
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• pp.153-161
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• 2023

In this paper, we introduce a new concept for bivariate means and we study its properties. Application of this concept for mean-inequalities is also discussed. Open problems are derived as well.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.3
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• pp.535-546
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• 2010

In this paper, we introduce a concept of a weak distance and show that AP is a bireflective subcategory of WD. Moreover, we introduce a concept of a co-tower which is an equivalent description of approach spaces.