Korean J. Math. Vol. 23 No. 4 (2015) pp.557-569
DOI: https://doi.org/10.11568/kjm.2015.23.4.557

Fuzzy lattices as fuzzy relations

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Published: Dec 30, 2015
Keywords:
fuzzy partially ordered set, fuzzy lattice
Mathematics Subject Classification:
06B99

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Inheung Chon
Department of Mathematics Seoul Women's University Seoul 139-774, South Korea

Abstract

We define a fuzzy lattice as a fuzzy relation, develop some basic properties of the fuzzy lattice, show that the operations of join and meet in fuzzy lattices are isotone and associative, characterize a fuzzy lattice by its level set, and show that the direct product of two fuzzy lattices is a fuzzy lattice.


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Supporting Agencies

This work was supported by a research grant from Seoul Women's University (2014).

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