%0 Journal Article
%T A NEW WAY TO EXTEND FUZZY IMPLICATIONS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Han, Yuan-Liang
%A Shi, Fu-gui
%D 2018
%\ 06/30/2018
%V 15
%N 3
%P 79-97
%! A NEW WAY TO EXTEND FUZZY IMPLICATIONS
%K Extension-sublattice
%K Fuzzy implications
%K E-operator
%K Retraction
%R 10.22111/ijfs.2018.3951
%X The main purpose of this paper is to use a new way to extend fuzzy implications $I$ from a generalized sublattice $M$ to a bounded lattice $L$, such that the extended implications preserve many of the considered properties of fuzzy implications on $M$.Furthermore, as a special case, we investigate the extension of $(S,N)-$implications. Results indicate that the extended implications preserve many of the considered properties of $(S,N)$-implications.
%U http://ijfs.usb.ac.ir/article_3951_efdd3cdb9d602e0f91223bb4d9062db1.pdf