摘要

In this paper, we investigate more relations between the symmetric residuated lattices L with their corresponding intuitionistic fuzzy residuated lattice (L) over tilde. It is shown that some algebraic structures of L such as Heyting algebra, Glivenko residuated lattice and strict residuated lattice are preserved for (L) over tilde. Examples are given for those structures that do not remain the same. Also some special subsets of (L) over tilde such as regular elements Rg((L) over tilde), dense elements D((L) over tilde), infinitesimal elements Inf((L) over tilde), boolean elements B((L) over tilde) and Rad(BL)((L) over tilde) are characterized. The relations between these and corresponding sets in L will be investigated.

  • 出版日期2016-4