• International Journal of Fuzzy Logic and Intelligent Systems
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• v.2 no.1
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• pp.83-88
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• 2002

We study some properties of smooth uniform spaces. We investigate the relationship between smooth topological spaces and smooth uniform spaces. In particular, we define a subspace of a smooth uniform space and a product of smooth uniform spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.6 no.1
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• pp.77-84
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• 2006

In strictly two-sided, commutative biquantale, we introduce the notion of Hutton $(L,\otimes)$-uniform spaces and $(L,\odot)$-uniform spaces and investigate the properties of them.

• Journal of the Korean Institute of Intelligent Systems
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• v.16 no.4
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• pp.512-518
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• 2006

In a strictly two-sided, commutative biquantale, we introduce the notion of ($L,\;{\odot}$)-proximity spaces. We investigate the relations among ($L,\;{\odot}$)-proximity spaces, Hutton ($L,\;{\otimes}$)-uniform spaces, ($L,\;{\odot}$) uniform spaces, enriched ($L,\;{\odot}$)-topological spaces and enriched ($L,\;{\odot}$)-interior spaces.

• Journal of the Korean Institute of Intelligent Systems
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• v.16 no.2
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• pp.252-257
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• 2006

In strictly two-sided, commutative biquantale, we show that Hutton (L, $\otimes$)-uniform spaces and (L, $\odot$)-uniform spaces induce enriched (L, $\odot$)-topological spaces and enriched (L, $\odot$)-interior spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.6 no.3
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• pp.202-209
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• 2006

In a strictly two-sided, commutative biquantale, we study the relationships between the categories of Hutton (L, $\bigotimes$)- uniform spaces and (L, $\bigodot$ )-uniform spaces. We investigate the properties of them.

• 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.

• Korean Journal of Mathematics
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• v.16 no.2
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• pp.173-189
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• 2008

In strictly two-sided, commutative quantale, we introduce the notion of Hutton (L,${\otimes}$­)-uniform spaces and covering (L,${\odot}$)-uniform spaces and investigate the properties of them.

• Korean Journal of Mathematics
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• v.4 no.1
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• pp.1-5
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• 1996

A strong Banach-Mackey property is established for ${\kappa}$-spaces including all complete and some non-complete metric linear spaces and some non-metrizable locally convex spaces. As applications of this result, a strong uniform boundedness result and a new Banach-Steinhaus type theorem are obtained.

• Journal of the Chungcheong Mathematical Society
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• v.31 no.4
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• pp.467-473
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• 2018

We define topological entropy of flows on uniform spaces and discuss some properties of topological entropy of expansive flows on uniform spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.2
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• pp.65-70
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• 2009

In this paper, we introduced the notion of (L,$\bigodot$)-quasi-uniform spaces and (L,$\bigodot$)-neighborhood systems on a strictly two-sided, commutative quantale lattice L. We investigate their properties and give the examples. In particular, we study the relations between (L,$\bigodot$)-quasi-uniform spaces and (L,$\bigodot$)-neighborhood systems.