• 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.