• Journal of the Korean housing association
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• v.23 no.1
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• pp.43-53
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• 2012

This paper is an analysis on the topography spatial structure and geomagnetic disturbance for the ideal spot of birthplaces in Jeollanam-do area. Here, representating the ideal spots for birthplaces means those homes that are wellknown to a lot of local residents, It also it speaks on the birthplaces where famous people spend their childhood. We chose three such birthplaces and analyzed them into Feng-Shui regarding the topography spatial structure, and also analyzed them for the geomagnetic disturbances. On the basis of such an analysis, we found a relation between the ideal spot of birthplaces and the geomagnetic disturbances. We studied the impact of geomagnetic disturbances on ideal spot of birthplaces. As a result, three birthplaces turned out to be an ideal spot with regards to our analysis of Feng-Shui and the topography spatial structure, also they had uniformly distributed almost no geomagnetic disturbances with stable the structure of the earth's stratum. Consequently we could know that the ideal spot of birthplaces did not a little affect mental health and physical health of the birthplace residents by liveliness while they lived fetal life until childhood.

• Journal of Korean Elementary Science Education
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• v.23 no.2
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• pp.131-140
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• 2004

Many idealizations and ideal conditions in physics have been an important role in understanding of the basic physics concepts and in solving physics problems. The purpose of this study was to explore the relationships of pre-service teachers' misconception of heat with their understanding of the ideal conditions involved in solving problems of heat and temperature. Test instruments were composed of two parts. One part was asked to answer the heat conceptions, the other to write statements in relations to ideal condition hidden in the process of heat problems solving. For this study, pre-service teachers who are in four major courses in the University of Education in a local city were selected and total numbers of pre-service teachers were 108 students. The framework was developed for classifying pre-service teachers response of open items of ideal conditions of heat domains. According to the framework, each types of response were coded, analyzed and processed with a SPSS/PC program. The results are as the followings. In the heat conceptions, most of students showed correct response, and there was no significant differences between major courses. In understanding of ideal conditions, students' responses of "idealized condition relevant to problem" showed 65.2％ of them, and "not relevant idealized conditions" 15.5％, and no response 12.2%. In the 15.5% of students "not relevant idealized conditions", 10.5％ of them did not explained correctly conditions, just simply 2.7％ stated the laws in physics or formula, 1.6% generally, but irrelevantly described the idealized conditions. More importantly pre-service teachers showed very weak correlation between heat conception and understanding of ideal condition. Although we concluded there were no significant relationships of heat conception in understanding of ideal conditions in thermodynamics domain, these suggest that many other factors may influence understanding of ideal conditions in physics.

• The Pure and Applied Mathematics
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• v.15 no.1
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• pp.73-84
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• 2008

After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Aranassov is one among them. In this paper, we apply the concept of an intuitionistic fuzzy set to commutative ideals in BCK-algebras. The notion of an intuitionistic fuzzy commutative ideal of a BCK-algebra is introduced, and some related properties are investigated. Characterizations of an intuitionistic fuzzy commutative ideal are given. Conditions for an intuitionistic fuzzy ideal to be an intuitionistic fuzzy commutative ideal are given. Using a collection of commutative ideals, intuitionistic fuzzy commutative ideals are established.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2005.11a
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• pp.492-495
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• 2005

We give the characterization of an intuitionistic fuzzy ideal[resp. intuitionistic fuzzy left ideal, an intuitionistic fuzzy right ideal and an intuitionistic fuzzy hi-ideal] generated by an intuitionistic fuzzy set in a semigroup without any condition. And we prove that every intuitionistic fuzzy ideal of a semigroup S is the union of a family of intuitionistic fuzzy principle ideals of 5. Finally, we investigate the intuitionistic fuzzy ideal generated by an intuitionistic fuzzy set in $S^{1}$

• Journal of applied mathematics & informatics
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• v.34 no.5_6
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• pp.405-419
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• 2016

The notion of Γ-semiring was introduced by M. Murali Krishna Rao [8] as a generalization of Γ-ring as well as of semiring. In this paper fuzzy k-ideals, k-fuzzy ideals and fuzzy-2-prime ideals in Γ-semirings have been introduced and study the properties related to them. Let μ be a fuzzy k-ideal of Γ-semiring M with |Im(μ)| = 2 and μ(0) = 1. Then we establish that M_μ is a 2-prime ideal of Γ-semiring M if and only if μ is a fuzzy prime ideal of Γ-semiring M.

• Bulletin of the Korean Mathematical Society
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• v.34 no.2
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• pp.205-209
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• 1997

Hong et al. [2] and Jun et al. [4] introduced the notion of k-nil radical in a BCI-algebra, and investigated its some properties. In this paper, we discuss the further properties on the k-nil radical. Let A be a subset of a BCI-algebra X. We show that the k-nil radical of A is the union of branches. We prove that if A is an ideal then the k-nil radical [A;k] is a p-ideal of X, and that if A is a subalgebra, then the k-nil radical [A;k] is a closed p-ideal, and hence a strong ideal of X.

• Communications of the Korean Mathematical Society
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• v.27 no.3
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• pp.483-488
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• 2012

In this paper we introduce the notion of P-strongly regular near-ring. We have shown that a zero-symmetric near-ring N is P-strongly regular if and only if N is P-regular and P is a completely semiprime ideal. We have also shown that in a P-strongly regular near-ring N, the following holds: (i) $Na$ + P is an ideal of N for any $a{\in}N$. (ii) Every P-prime ideal of N containing P is maximal. (iii) Every ideal I of N fulfills I + P = $I^2$ + P.

• Communications of the Korean Mathematical Society
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• v.24 no.2
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• pp.161-169
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• 2009

In this paper, we introduce the generalized ideal-based zero-divisor graph structure of near-ring N, denoted by $\widehat{{\Gamma}_I(N)}$. It is shown that if I is a completely reflexive ideal of N, then every two vertices in $\widehat{{\Gamma}_I(N)}$ are connected by a path of length at most 3, and if $\widehat{{\Gamma}_I(N)}$ contains a cycle, then the core K of $\widehat{{\Gamma}_I(N)}$ is a union of triangles and rectangles. We have shown that if $\widehat{{\Gamma}_I(N)}$ is a bipartite graph for a completely semiprime ideal I of N, then N has two prime ideals whose intersection is I.

• Bulletin of the Korean Mathematical Society
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• v.50 no.6
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• pp.1937-1956
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• 2013

The aim of this article is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notion of union-soft sets is introduced, and its application to BCK/BCI-algebras is considered. The notions of union-soft algebras, union-soft (commutative) ideals and closed union-soft ideals are introduced, and related properties and relations are investigated. Conditions for a union-soft ideal to be closed are provided. Conditions for a union-soft ideal to be a union-soft commutative ideal are also provided. Characterizations of (closed) union-soft ideals and union-soft commutative ideals are established. Extension property for a union-soft commutative ideal is established.

• Journal of the Korean Mathematical Society
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• v.52 no.1
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• pp.159-176
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• 2015

Let R be a semiring, I a strong co-ideal of R and S(I) the set of all elements of R which are not prime to I. In this paper we investigate some interesting properties of S(I) and introduce the total identity-summand graph of a semiring R with respect to a co-ideal I. It is the graph with all elements of R as vertices and for distinct x, $y{\in}R$, the vertices x and y are adjacent if and only if $xy{\in}S(I)$.