ROUGH LATTICE OVER BOOLEAN ALGEBRA

Authors : Dipankar Rana, Sankar Kumar Roy

Pages : 63-68

View : 22 | Download : 11

Publication Date : 2015-03-01

Article Type : Research

Abstract :− Rough Set Theory (RST) is a mathematical formalism for representing uncertainty thatcan be considered as an extension of the classical set theory. It has been used in many differentresearch areas, including those related to inductive machine learning and reduction of knowledge inknowledge-based systems. Rough partial order relation and rough lattice are two important conceptsto introduce here based on RST. This paper provides some properties of rough relations, rough lattice,rough boolean lattice and established their validity. Some results are established to illustrate the paper
Keywords : − Rough Set, Rough Approximation, Boolean Algebra, Rough Relation, Rough PartialOrder, Boolean Lattice