%0 Journal Article
%T A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator
%J Journal of Algorithms and Computation
%I University of Tehran
%Z 2476-2776
%D 2022
%\ 01/14/2022
%V
%N
%P 1-12
%! A comparison between the resolution and linear optimization of FREs defined by product t-norm and geometric mean operator
%K Fuzzy relational equalities
%K fuzzy compositions
%K t-norm
%K geometric mean operator
%R 10.22059/jac.2022.85485
%X In this paper, a type of fuzzy system is firstly investigated whereby the feasible region is defined by the fuzzy relational equalities and the geometric mean as fuzzy composition. Some related basic and theoretical properties are derived and the feasible region is completely determined. Moreover, a comparison is made between this region and FRE defined by product t-norm. Finally, an example is described to illustrate the differences of these two FRE systems.
%U https://jac.ut.ac.ir/article_85485_4fd9f3903e06b1470c32424950e5e0f2.pdf