In this paper we define intuitionistic fuzzy quasi-ideals of ordered semigroups. The main result of the paper is a characterization of quasi-ideals in terms of intuitionistic fuzzy quasi-ideals. We also characterize left simple, right simple, and completely regular ordered semigroups in terms of intuitionistic fuzzy quasi-ideals. We study the decomposition of left and right simple ordered semig...

We study the one-dimensional asymmetric simple exclusion process on lattice $\{1, \dots,N\}$ with creation/annihilation at boundaries. The boundary rates are time dependent and change a slow scale $N^{-a}$ $a>0$. prove that $N^{1+a}$ system evolves quasi-statically macroscopic density profile given by entropy solution of stationary Burgers equation densities changing in time, determined corresp...