• Title/Summary/Keyword: the product and co-product of (L, e)-filters

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(L, e)-filters on complete residuated lattices

  • Kim, Yong-Chan;Ko, Jung-Mi
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.12 no.3
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    • pp.232-237
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    • 2012
  • We introduce the notion of (L, e)-filters with fuzzy partially order e on complete residuated lattice L. We investigate (L, e)-filters induced by the family of (L, e)-filters and functions. In fact, we study the initial and final structures for the family of (L, e)-filters and functions. From this result, we define the product and co-product for the family of (L, e)-filters and functions.