HOMOMORPHISM IN ROUGH LATTICE

Authors : Dipankar Rana, Sankar Kumar Roy

Pages : 19-25

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Publication Date : 2015-06-01

Article Type : Research Paper

Abstract :− In this paper, we introduce the concept of set-valued homomorphism of a lattice which isthe generalization of ordinary lattice homomorphism. We construct generalized rough lower and upperapproximations operators, by means of a set-valued mapping, which are also the generalized form oflower and upper approximations of a lattice, and the corresponding properties are investigated andfinally we cite an example to show usefulness of the paper
Keywords : Rough Set, Lower and Upper approximations, Lattice, Equivalence Relation, Homomorphism