English, Article edition: FUZZY FILTERS ON THE RESIDUATED LATTICES JIA-LU ZHANG; HONG-JUN ZHOU

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Physical Description
  • article
Language
  • English

Edition details

Title
  • FUZZY FILTERS ON THE RESIDUATED LATTICES
Author
  • JIA-LU ZHANG
  • HONG-JUN ZHOU
Physical Description
  • article
Notes
  • In this paper, the lattice operations and the adjoint pair on the fuzzy filters set on residuated lattices are defined, the conclusion that the fuzzy filters lattice defined as such is a distributive residuated lattice is obtained. An order-reversing involution on the fuzzy strong-prime filters sublattice is introduced. It is proved that the fuzzy strong-prime filters sublattice is a quasi-Boolean algebra.
  • Residuated lattice, regular residuated lattice, fuzzy filter, fuzzy filter lattice, fuzzy strong-prime filter, quasi-Boolean algebra
  • RePEc:wsi:nmncxx:v:02:y:2006:i:01:p:11-28
Language
  • English
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