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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...
We consider the notion of fuzzy lattice introduced by Chon (Korean J. Math 17 (2009), No. 4, 361–374), and define the operations of product and collapsed sum on bounded fuzzy lattice analogous to the classical theory. Also, we prove that the product and collapsed sum on bounded fuzzy lattices are fuzzy posets and, consequently, bounded fuzzy lattices.
We consider the fuzzy lattice notion introduced by Chon (Korean J. Math 17 (2009), No. 4, 361-374), define an α-ideals and α-filters for fuzzy lattices and characterize α-ideals and α-filters of fuzzy lattices by using its support and its level set. Moreover, we prove some similar properties to the classical theory of α-ideals and α-filters, such as, the class of α-ideals and α-filters are closed...
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