L-fuzzy multigranulation rough set based on residuated lattices

摘要

This paper studies L-fuzzy multigranulation rough set based on residuted lattices, which is considered as an extension of the classical L-fuzzy rough set. Two models of L-fuzzy optimistic multigrannulation rough set and L-fuzzy pessimistic multigrannulation rough set based on residuted latteices are suggested. Then, we mainly investigate some fundamental properties of the L-fuzzy multigranulation rough set model. With regards to residuated lattices' topology, we study the topological and the lattice structure in the L-fuzzy optimistic multigranulation rough set model and L-fuzzy pessimistic multigranulation rough set model, respectively.