• Title/Summary/Keyword: (L,$\bigodot$)-neighborhood systems

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(L,⊙)-quasi-uniform Spaces and (L,⊙)-neighborhood Systems

  • Kim, Yong-Chan;Ko, Jung-Mi
    • 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.