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http://dx.doi.org/10.5831/HMJ.2015.37.2.187

ON INTERVAL-VALUED FUZZY LATTICES  

LEE, JEONG GON (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
HUR, KUL (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
LIM, PYUNG KI (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
Honam Mathematical Journal / v.37, no.2, 2015 , pp. 187-205 More about this Journal
Abstract
We discuss the relationship between interval-valued fuzzy ideals and interval-valued fuzzy congruence on a distributive lattice L and show that for a generalized Boolean algebra the lattice of interval-valued fuzzy ideals is isomorphic to the lattice of interval-valued fuzzy congruences. Finally we consider the products of interval-valued fuzzy ideals and obtain a necessary and sufficient condition for an interval-valued fuzzy ideal on the direct sum of lattices to be representable as a direct sum of interval-valued fuzzy ideals on each lattice.
Keywords
interval-valued fuzzy sublattice; interval-valued fuzzy ideal; interval-valued fuzzy filter; interval-valued fuzzy congruence;
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Times Cited By KSCI : 5  (Citation Analysis)
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