Lattice Implication Algebras,FI-algebras,and MV-algebras Based on the Interval Sets
Yunhua Xiao · 2010
The interval sets are new important direction of the research,which have been widely applied in approximate reasoning,fuzzy control,and so on.In the interval sets,the new interval implication(■) was redefined,the lattice implication algebras was reconstructed and its properties were discussed.Meanwhile,commutative FI-algebras and MV-algebras also were redefined in the interval sets.Three different algebraic systems were proved to equivalence,which are lattice implication algebras,commutative FI-algebras and MV-algebras.