2010•Advanced materials researchOpen access

Rough Dual Ideal in Lattices

Yi Xing Shao, Zuhua Liao, Lian Wu, Shu Cao

Abstract

In 2009, Zuhua Liao and his students induced rough sets into inclines. They put forward the concepts of upper and lower approximations of a subset in an incline, and studied some properties of and . This paper , based onthose researches ,investigated rough dual ideal in lattices, and discussed the properties of and when is a dual ideal, a prime dual ideal and a convex sublattice of .

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Available abstract

Key concepts: Ideal (ethics), Dual (grammatical number), Mathematics, Regular polygon, Rough set, Prime (order theory), Pure mathematics, Combinatorics