title: Roughness in lattice ordered effect algebras.
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.
authors.affiliation: Department of Mathematics, Northwest University, Xi'an 710127, China.
authors.forename: Xiao Long
authors.initials: XL
authors.lastname: Xin
authors.affiliation: Faculty of Science, Xi'an University of Technology, Xi'an 710048, China.
authors.forename: Xiu Juan
authors.initials: XJ
authors.lastname: Hua
authors.affiliation: Department of Basic Courses, Xi'an Aeronautical University, Xi'an 710048, China.
authors.forename: Xi
authors.initials: X
authors.lastname: Zhu
mesh_terms: D055641:Mathematical Concepts