• Korean Journal of Mathematics
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• v.10 no.2
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• pp.131-140
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• 2002

This paper is devoted to the study of the role of fuzzy proximity spaces. We define a fuzzy K-proximity space, a fuzzy R-proximity space and prove some of its properties. Furthermore, we discuss the topological structure based on these fuzzy K-proximity and fuzzy R-proximity.

• Korean Journal of Mathematics
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• v.5 no.1
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• pp.35-48
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• 1997

We will define the fuzzy quasi-proximity space and investigate some properties of fuzzy quasi-proximity spaces. We will prove the existences of initial fuzzy quasi-proximity structures. From this fact, we can define subspaces and products of fuzzy quasi-proximity spaces.

• Journal of the Korean Physical Society
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• v.73 no.9
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• pp.1255-1262
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• 2018

In this paper, alternative potentials to explain the scattering cross sections of $^{7,9,10,11,12,14}Be$ isotopes by a $^{12}C$ target nucleus at different energies are researched. For this purpose, fourteen different proximity potentials, such as Proximity 1966, Proximity 1976, Proximity 1977, Proximity 1979, Proximity 1984, Proximity 1988, Proximity 1995, Broglia and Winther 1991, Aage Winther, Bass 1973, Bass 1977, Bass 1980, Christensen and Winther 1976, and $Ng{\hat{o}}$ 1980, are used to produce the real potential within the optical model. The imaginary potential is formed by using the Woods-Saxon potential. The theoretical results are compared with both experimental data and data reported in the literature. The results are in good agreement with the data. The proximity potentials are observed to play a significant role in obtaining the scattering cross sections of $^{7,9,10,11,12,14}Be$ isotopes.

• Korean Journal of Mathematics
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• v.10 no.1
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• pp.59-66
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• 2002

We introduce the ${\kappa}_0$-proximity space as a generalization of the Efremovic-proximity space. We define a product ${\kappa}_0$-proximity and the quotient ${\kappa}_0$-proxmity and show some properties of ${\kappa}_0$-proximity space.

• Korean Journal of Mathematics
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• v.11 no.1
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• pp.45-49
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• 2003

We introduce the $k_0$-proximity space as a generalization of the Efremovi$\check{c}$-proximity space. We try to show that $k_0$-proximity structure lies between topological structures and uniform structure in the sense that all topological invariants are $k_0$-proximity invariants and all $k_0$-proximity invariants are uniform invariants.

• Korean Journal of Mathematics
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• v.14 no.1
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• pp.7-11
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• 2006

This paper is devoted to the study of the role of fuzzy proximity spaces. We define a fuzzy K-proximally continuous mapping based on the fuzzy K-proximity and prove some of its properties.

• Korean Journal of Mathematics
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• v.12 no.1
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• pp.41-47
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• 2004

We introduce the $K_0$-proximity space as a generalization of the Efremovi$\check{c}$-proximity space. We try to show every ultrafilter in $K_0$-proximity space generates a cluster and every Cauchy cluster is a point cluster.

• Bulletin of the Korean Mathematical Society
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• v.53 no.5
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• pp.1363-1371
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• 2016

This paper is concerned with best proximity points for multimaps in normed spaces and in hyperconvex metric spaces. Using the generalized KKM theorem, we deduce new best proximity pair theorems for a family of multimaps with unionly open fibers in normed spaces. And we prove a new best proximity point theorem for quasi-lower semicontinuous multimaps in hyperconvex metric spaces.

• Journal of the Korean Society of Costume
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• v.32
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• pp.183-200
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• 1997

The purpose of this study was to find out the mutual relations of self-efficacy proximity of cosmetic to self and proximity of clothing to self. The researcher used the scale of Sherer Mercadante Maddux Rrentice-Dunn Jacobs and Rogers(1982) for a general and social self-efficacy. The scale of Ryckman Roddins Thorton and Cantrell(1982) for a physical self-efficacy. The researcher corrected and supplemented the tools on the basis of Sontag(1987)'s scale for proximity of clothing to self. The researcher developed proximity of cos-metic to self. The subjects of this study were 172 girl students in the university. The research was analyzed by MANOVA Scheff post hoc test and Cronback a. The Results of this study were as follows: 1. The person who had a higher self-efficacy was higher in the hoy and skin-carve in the sub-causes of proximity of cosmetic to self. There was no difference in social-confidence self-satisfaction and disguise. 2. The person who had a higher self-efficacy was high in the self-expression and the physi-cal satisfaction in the sub-causes of proximity of clothing to self. There was no difference in the joy self-consciousness the consciousness of others and the novelity. 3. The person who had a higher proximity of cosmetic to self was higher in the joy, self-ex-pression and self-consciousness of others and the novelity. There was no difference in the physical satisfaction.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.13 no.10
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• pp.2140-2146
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• 2009

Since tags do not have location informations, the identifiers of tags which are symbolic data are used as the location informations. Therefore, it is difficult to define the proxmity between two trajectories of tags and inefficient to process the user queries for tags. In this paper, we define the perceptual space to model the location of a tag and propose the proximity of the perceptual spaces. The proximity of the perceptual spaces is composed of the static proximity and dynamic proximity. Using the proximity of the perceptual spaces, it is possible to measure the proximity between two trajectories of tags and build the efficient indexes for tag trajectories. We evaluated the performance of the proposed proximity function for tag trajectories on the IR-tree and the $R^*$-tree.