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Kinds of ideals of fuzzy lattice

Ivan MezzomoBenjamin C. BedregalRegivan H. N. Santiago

We characterize a fuzzy lattice through a fuzzy partial order relation, define ideals and filters of fuzzy lattices, characterize an ideal of fuzzy lattice using its level set and its support and show that a subset of a fuzzy lattice is an ideal if and only if its support is an ideal. Similarly, we show the same for its level set. Lastly, we define some kinds of ideals and filters of fuzzy lattice and we study the intersection among families the each kind of ideal and filter, and some of its consequences.

http://www.lbd.dcc.ufmg.br/colecoes/cbsf/2012/0049.pdf

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