Korean J. Math. Vol. 24 No. 3 (2016) pp.525-535
DOI: https://doi.org/10.11568/kjm.2016.24.3.525

Some properties of fuzzy lattices as fuzzy relations

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Published: Sep 30, 2016
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 01797, South Korea

Abstract

We define a fuzzy lattice as a fuzzy relation, prove the distributive inequalities and the modular inequality of fuzzy lattices, and show that the fuzzy totally ordered set is a distributive fuzzy lattice and that the distributive fuzzy lattice is modular.


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Supporting Agencies

This work was supported by a research grant from Seoul Women's University (2015).

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