Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras. Finally, we use a Riesz ideal induced congruence and define a functione(a,b)in a lattice ordered effect algebraEand build a relationship between it and congruence classes. Then we study some properties about approximation of lattice ordered effect algebras.
Roughness in Lattice Ordered Effect Algebras