• 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.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.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.

• 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.

• Journal of the Korean Mathematical Society
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• v.53 no.5
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• pp.1037-1056
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• 2016

In this paper, we define the concepts of commute proximally, dominate proximally, weakly dominate proximally, proximal generalized ${\varphi}$-contraction and common best proximity point in probabilistic Menger space. We prove some common best proximity point and common fixed point theorems for dominate proximally and weakly dominate proximally mappings in probabilistic Menger space under certain conditions. Finally we show that proximal generalized ${\varphi}$-contractions have best proximity point in probabilistic Menger space. Our results generalize many known results in metric space.

• 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.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 Society of Clothing and Textiles
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• v.23 no.3
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• pp.423-434
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• 1999

The purpose of this study was to examine the personal space by proximity of clothing to self. The scales used in this study include the scale of Nakane(1973) personal space the scale arranged on the basis of Sontag(1978's) study for proximity of clothing to self. The subjects of this study were 885 adult women in Taegu. The data were analyzed by using freqeuncy analysis {{{{ chi ^2 }} test and the Cronback $\alpha$ was also applied. The results of this study were summarized as follows : The results of this study were summarized as follows : It was shown that there was a high tendency that all those whose proximity of clothing to self is high It was shown that there was a high tendency that all those whose proximity of clothing to self is high or low sit opposite to the other persons or in a place where they can be seen well when they are well dressed with good make-up. but that all those whose proximity of clothing to self is high or low sit behind the other persons or in a corner seat or place where they can not be seen well when they are not well dressed with no make-up.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1998.10a
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• pp.64-69
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• 1998

In this paper, we introduce the concept of the intuitionistic fuzzy proximity space as a generalization of a fuzzy proximity space, and investigate some of their properties. Also we study the relations between intuitionistic fuzzy proximity spaces and intuitionistic fuzzy topological spaces.

• 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.