Roughness in Lattice Ordered Effect Algebras

الملخص EN

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 function e(a,b) in a lattice ordered effect algebra E and build a relationship between it and congruence classes.

Then we study some properties about approximation of lattice ordered effect algebras.