The Generalized Roughness in Lattices

Qimei Xiao, Qingguo Li · 2011

In this paper, we introduce the concept of (strong) set-valued homomorphism of a lattice which is a generalization of ordinary lattice homomorphism. We constructed generalized lower and upper approximation operators, by means of a setvalued mapping, which is a generalization of the notion of lower and upper approximations of a lattice, and related properties are investigated.

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