%0 Journal Article
%T Preservation theorems in {\L}ukasiewicz \\model theory
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Bagheri, Seyed-Mohammad
%A Moniri, Morteza
%D 2013
%\ 06/01/2013
%V 10
%N 3
%P 103-113
%! Preservation theorems in {\L}ukasiewicz \\model theory
%K Continuous model theory
%K {\L}ukasiewicz logic
%K Preservation theorems
%R 10.22111/ijfs.2013.864
%X We present some model theoretic results for {\L}ukasiewiczpredicate logic by using the methods of continuous model theorydeveloped by Chang and Keisler.We prove compactness theorem with respect to the class of allstructures taking values in the {\L}ukasiewicz $\texttt{BL}$-algebra.We also prove some appropriate preservation theorems concerning universal and inductive theories.Finally, Skolemization and Morleyization in this framework are discussed andsome natural examples of fuzzy theories are presented.
%U https://ijfs.usb.ac.ir/article_864_4dc824201c1a83e208595fdce2760b02.pdf