• 제목/요약/키워드: proximity space

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NOTE ON THE FUZZY PROXIMITY SPACES

  • Park, Kuo-Duok
    • Korean Journal of Mathematics
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    • 제10권2호
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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.

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PRODUCT SPACE AND QUOTIENT SPACE IN K0-PROXIMITY SPACES

  • Han, Song Ho
    • Korean Journal of Mathematics
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    • 제10권1호
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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.

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COMPLETION OF A UNIFORM SPACE IN K0-PROXIMITY SPACE

  • Han, Song Ho
    • Korean Journal of Mathematics
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    • 제12권1호
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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.

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K0-PROXIMITY INDUCED BY UNIFORMITY

  • Han, Song Ho
    • Korean Journal of Mathematics
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    • 제11권1호
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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.

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SOME RESULTS ON COMMON BEST PROXIMITY POINT AND COMMON FIXED POINT THEOREM IN PROBABILISTIC MENGER SPACE

  • Shayanpour, Hamid
    • 대한수학회지
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    • 제53권5호
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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.

FUZZY K-PROXIMITY MAPPING

  • Park, Kuo-Duok
    • Korean Journal of Mathematics
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    • 제14권1호
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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.

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SOME PROPERTIES OF FUZZY QUASI-PROXIMITY SPACES

  • Kim, Yong Chan;Park, Jin Won
    • Korean Journal of Mathematics
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    • 제5권1호
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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.

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의복의 자아근접도에 따른 퍼스널 스페이스에 관한 연구 (A Study on the Personal Space by Proximity of Clothing to Self.)

  • 조기여;유태순
    • 한국의류학회지
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    • 제23권3호
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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.

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INTUITIONISTIC FUZZY PROOXIMITY SPACES

  • Lee, Seok-Jong;Lee, Eun-Pyo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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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.

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태그 궤적 색인을 위한 인식공간 근접성 기법 (The Proximity Scheme of the Perceptual Space for Indexing The Trajectories of Tags)

  • 김동현;안성우
    • 한국정보통신학회논문지
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    • 제13권10호
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    • pp.2140-2146
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    • 2009
  • 태그는 위치정보가 없기 때문에 리더의 식별자를 위치정보로 사용하지만 비연속적인 심볼형 정보이다. 따라서 태그 이동 궤적간의 근접성을 정의하는 것이 어려우며 사용자 질의 처리시 비효율적이다. 본 논문에서는 태그 위치를 표현하기 위하여 인식공간을 정의하고 인식공간 근접성을 제안한다. 인식공간 근접성은 정적 인식공간 근접성과 동적 인식공간 근접성으로 구성되며 이를 이용하여 태그 궤적 간의 근접성을 측정하고 효율적인 색인을 구축할 수 있다. 제안한 태그 이동 궤적 근접성 함수를 평가하기 위해 태그 색인 기법인 IR-tree와 이동체 색인 기법인 $R^*$-tree를 대상으로 성능평가 실험을 수행하였다.