FUZZY FILTERS ON THE RESIDUATED LATTICES
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.
Year of publication: |
2006
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Authors: | ZHANG, JIA-LU ; ZHOU, HONG-JUN |
Published in: |
New Mathematics and Natural Computation (NMNC). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-7027. - Vol. 02.2006, 01, p. 11-28
|
Publisher: |
World Scientific Publishing Co. Pte. Ltd. |
Subject: | Residuated lattice | regular residuated lattice | fuzzy filter | fuzzy filter lattice | fuzzy strong-prime filter | quasi-Boolean algebra |
Saved in:
Online Resource
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