• 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.

• 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.4 no.2
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• pp.149-161
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• 1996

We define the fuzzy uniformly continuous map and investigate some properties of fuzzy uniformly continuous maps. We will prove the existences of initial fuzzy uniform structures induced by some functions. From this fact, we construct the product of two fuzzy uniform spaces.

• Journal of the Korean Institute of Intelligent Systems
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• v.9 no.5
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• pp.550-554
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• 1999

We will define a fuzzy quasi-proximity space and give some examples of it. We show that the family M(X, C) of all fuzzy quasi-proximities on X which induce C is nonempty. Moreover we will study the relationship between the category of fuzzy closure spaces and that of fuzzy quasi-proximity spaces.

• Honam Mathematical Journal
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• v.33 no.1
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• pp.27-41
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• 2011

This paper studies the relationship between L-fuzzy proximities and L-fuzzy topologies by topological fuzzy remote neigh-borhood systems. We will prove that the category of L-fuzzy topo- logical spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a core ective full subcategory.

• 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.

• 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.

• Journal of the Korean Institute of Intelligent Systems
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• v.10 no.2
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• pp.146-151
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• 2000

We prove the existence of initial fuzzy quasi-proximity spaces. We study the relationship between the initial structure of the fuzzy closure spaces and that of fuzzy quasi-proximity spaces. We give some examples of those.

• Korean Journal of Mathematics
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• v.6 no.1
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• pp.97-115
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• 1998

We will define a fuzzy quasi-uniform space and investigate some properties of fuzzy quasi-uniform spaces. We will show that the fuzzy bitopology and the fuzzy quasi-proximity can be induced by a fuzzy quasi-uniformity.

• Journal of the Korean Institute of Intelligent Systems
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• v.15 no.1
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• pp.116-119
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• 2005

In this paper, we show that the category of intuitionistic fuzzy proximity spaces has an initial structure, and consequently a subspace structure and a product space structure of them.