On Boolean elements and derivations in 2-dimension linguistic lattice
A 2-dimension linguistic lattice implication algebra (2DL-LIA) can build
a bridge for logical algebras and 2-dimension fuzzy linguistic
information. In this paper, the notion of a Boolean element is proposed
in a 2DL-LIA and some properties of Boolean elements are discussed. Then
derivations on 2DL-LIAs are introduced and the related properties of
derivations are investigated. Moreover, it proves that the derivations
on 2DL-LIAs can be constructed by Boolean elements.