%0 Journal Article
%T AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC
FUZZY LOGIC
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Eslami, Esfandiar
%D 2012
%\ 12/27/2012
%V 9
%N 6
%P 31-41
%! AN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC
FUZZY LOGIC
%K Intuitionistic fuzzy logic
%K residuated lattice
%K Intuitionistic fuzzy
implication
%R 10.22111/ijfs.2012.111
%X In this paper we extend the notion of degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove some theorems to demonstrate our goal.
%U https://ijfs.usb.ac.ir/article_111_92936ce87ae15b80c0c9d17ae0d847e8.pdf