2013•Unpublished venueRequires access

Fuzzy a-Ideals of Product Operator on Bounded Fuzzy Lattices

Ivan Mezzomo, Benjamín Bedregal, Regivan H. N. Santiago, Renata Reiser

Abstract

We consider the fuzzy lattice notion introduced by Chon, characterize a fuzzy ideal on operation of product between bounded fuzzy lattices. Define fuzzy a-ideals of fuzzy lattices and some properties analogous to the classical theory are also proved. Moreover, we characterize a fuzzy a-ideal on operation of product between bounded fuzzy lattices and prove results involving a fuzzy a-ideal of the product operator between fuzzy lattices and the product between fuzzy α-ideals of the bounded fuzzy lattices.

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Key concepts: Fuzzy logic, Bounded function, Mathematics, Fuzzy subalgebra, Fuzzy number, Fuzzy set operations, Fuzzy measure theory, Fuzzy classification