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Roughness in lattice ordered effect algebras
Xiao Long Xin1, Xiu Juan Hua2, Xi Zhu3
1Department of Mathematics, Northwest University, Xi'an 710127, China.
Abstract:
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.
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