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

Inheung Chon

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.

Keywords


fuzzy partially ordered set, fuzzy lattice

Subject classification

06B99

Sponsor(s)

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

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References


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