• Kyungpook Mathematical Journal
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• v.47 no.2
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• pp.277-281
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• 2007

There are many papers on linear operators that preserve commuting pairs of matrices over fields or semirings. From these research works, we have a motivation to the research on the linear operators that preserve commuting pairs of matrices over nonnegative integers. We characterize the surjective linear operators that preserve commuting pairs of matrices over nonnegative integers.

• Kyungpook Mathematical Journal
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• v.52 no.3
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• pp.307-317
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• 2012

In this paper we establish several Hadamard-type integral inequalities for (${\alpha}$, m)-convex functions.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.3 no.1
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• pp.72-77
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• 2003

In this paper, we introduce the concepts of intuitionistic fuzzy products and intuitionistic fuzzy subgroupoids. We investigate some properties of products and subgroupoids

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2004.04a
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• pp.367-371
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• 2004

We study some properties of intuitionistic fuzzy normal subgroups of a group. In particular, we obtain two characterizations of intuitionistic fuzzy normal subgroups. Moreover, we introduce the concept of an intuitionistic fuzzy coset and obtain several results which are analogs of some basic theorems of group theory.

• Journal of the Korean Mathematical Society
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• v.54 no.3
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• pp.763-772
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• 2017

In this paper, we study the Liouville type theorems for transversally harmonic and biharmonic maps on foliated Riemannian manifolds.

• Bulletin of the Korean Mathematical Society
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• v.47 no.4
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• pp.787-792
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• 2010

Let A and B be some standard operator algebras on complex Banach spaces X and Y, respectively. We give the concrete forms of linear idempotence preserving maps $\Phi\;:\;A\;{\rightarrow}\;B$ on finite-rank operators.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.339-354
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• 2011

The purpose of this paper is to find out the effective teaching method and improvement for managing the special lecture of basic mathematics which is grouped by the level of low achievement students who are matriculants. From the result, we want to know how the lecture with teaching method of differentiated learning affect on the students, especially who have under achievement, to be interested and confidential in mathematics.

• Journal of applied mathematics & informatics
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• v.37 no.3_4
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• pp.207-217
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• 2019

We are presented of several basic properties for negatively superadditive dependent(NSD) random variables. By using this concept we are obtained complete convergence for maximum partial sums of rowwise NSD random variables. These results obtained in this paper generalize a corresponding ones for independent random variables and negatively associated random variables.

• Korean Journal of Mathematics
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• v.10 no.2
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• pp.141-148
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• 2002

We introduce the concept of gradation of supraopenness. With the concept of gradation of supraopenness, we invesigate the basic properties of H-fuzzy supratopological spaces, H-fuzzy suprainterior and H-fuzzy supraclosure.

• Journal of applied mathematics & informatics
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• v.4 no.1
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• pp.117-134
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• 1997

In this paper we introduce the notions of TL-subsystems strong TL-subsystems and discuss their basic properties.