• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.9
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• pp.855-858
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• 2001

In this paper the concept of fuzzy connectedness between fuzzy sets [8] is generalized to fuzzy bitopological spaces and some of its properties are studied.

• Honam Mathematical Journal
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• v.40 no.3
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• pp.457-486
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• 2018

In several fields the soft set theory has a very vast range uses and applications. A soft group is a proper family of subgroups and a fuzzy soft group is a proper family of fuzzy subgroups. Here in this paper the concept of lattice ordered fuzzy soft groups is introduced. Also its some properties are studied and discussed. In addition, the defintion of lattice order fuzzy soft right (left) cosets and lattice order soft product of fuzzy soft subgroups and some related results are discussed to clear these ideas.

• Honam Mathematical Journal
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• v.37 no.3
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• pp.269-279
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• 2015

Atanassov introduced another fuzzy object, called intu- itionistic fuzzy set as a generalization of the concept of fuzzy subset. The aim of this paper is the elaboration of a representation theory of involutive interval-valued Łukasiewicz-Moisil algebras by using the notion of intuitionistic fuzzy sets.

• Honam Mathematical Journal
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• v.31 no.1
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• pp.97-107
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• 2009

In this paper, we introduce the concept of fuzzy ${\alpha}$-weakly (r, s)-continuous mappings on an fuzzy topological space and investigate some properties of such mappings.

• Honam Mathematical Journal
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• v.30 no.3
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• pp.425-433
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• 2008

In this paper, we introduce the concept of p-preconvex sets on preconvexity spaces. We study some properties for p-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of pc-convex function, $p^*c$-convex function, pI-convex function and $p^*I$-convex function.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.1
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• pp.105-113
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• 2012

Generalizing modular lattices, a concept of modular ordered sets was introduced by Chajda and Rachunek. In this paper, we characterize modular ordered sets as those partially ordered set P satisfying that for $a,\;b,\;c\;{\in}\;P\;with\;b\;{\leq}\;c,\;l(a,\;b)\;=\;l(a,\;c)\;and\;u(a,\;b)\;=\;u(a,\;c)$ imply $b\;=\;c$. Using this, we obtain a sufficient condition for them. We also discuss the modularity of the Dedekind-MacNeille completions of ordered sets.

• The Mathematical Education
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• v.20 no.3
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• pp.23-26
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• 1982

Many interesting properties of a space curve C in E$^3$ may be investigated by means of the concept of spherical indicatrix of tangent, principal normal, or binormal, to C. The purpose of the present paper is to derive the representations of the Frenet frame field., curvature, and torsion of spherical indicatrix to C in terms of the quantities associated with C. Furthermore, several interesting properties of spherical indicatrix are found in the present paper.

• Research in Mathematical Education
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• v.3 no.2
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• pp.99-112
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• 1999

In this paper, we represent the Piagetian reversible thinking by using the concept of fuzzy complements. In this case the turning point to the reversible thinking can be corre-sponded to the equilibrium points of a fuzzy set, which are shown through some examples. On the other hand, Piaget considered disequilibrium in the theory of equi-libration as a stimulus for students' cognitive structure, furthermore as the driving forces behind intellectual growth. But we suggest a di erent application o Piagetian equi-librium in another point of view as a tool understanding students' psychological stability in problem solving activity.

• The Mathematical Education
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• v.39 no.1
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• pp.1-9
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• 2000

Now, mathematics textbook is being developed in accordance with the 7th educational curriculum. It is expected that qualified textbook reflecting 'differentiated education' concept be developed and published. But there are still many limitations of textbook authorization system to develop 'such' textbook. Many authors of textbook have difficulty in developing creative and qualified textbooks in their own way. In this paper, we deal with what the authors should keep in mind and could reflect related on textbook authorization system in developing textbook. For this purpose, focusing on new 'content principle' of mathematics textbook authorization, the paper presented its educational background.

• The Mathematical Education
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• v.40 no.2
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• pp.345-350
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• 2001

This study suggested a teaching method to improve intuitive understanding of the statistical basic concepts about the central limit theorem with experiment. It is very hard to understand about the concept of the central limit theorem in the school mathematics class. The result of this study experiment for the class of statistics education shows that the students and mathematics teachers were interesting at this experiment. They corrected their misunderstanding about the central limit theorem by discussion for the result of experiment with team members. I think that this study can help teachers to teach the students using the experiment method.