Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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FUZZY LATTICES

  • Chon, Inheung (Department of Mathematics, Seoul Women's University)
  • Received : 2008.08.28
  • Published : 2008.09.30
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Abstract

We define the operations ${\vee}$ and ${\wedge}$ for fuzzy sets in a lattice, characterize fuzzy sublattices in terms of ${\vee}$ and ${\wedge}$, develop some properties of the distributive fuzzy sublattices, and find the fuzzy ideal generated by a fuzzy subset in a lattice and the fuzzy dual ideal generated by a fuzzy subset in a lattice.

Keywords

Acknowledgement

Supported by : Seoul Women's University