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On rough set and fuzzy sublattice
Authors:Ali Akbar Estaji  Somayeh Khodaii
Affiliation:Department of Mathematics, Sabzevar Tarbiat Moallem University, Sabzevar, Iran
Abstract:Let L be a lattice with the least element 0 and the greatest element 1 and let θ be a full congruence relation on L. In this paper, the notion of θ-upper and θ-lower approximations of a fuzzy subset of L is introduced and some important properties will be studied.
Keywords:Rough set   Upper and lower approximations   Lattice   Fuzzy sublattice   Fuzzy prime ideal
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