Inducing Operators on a Complete Lattice
Liao Da-jian · Journal of Huaihai Institute of Technology · 2006
We further study the inducing operators of a quasi-t-norm (or an implication) on a complete lattice once discussed in Reference [2],and prove that implication and the t-inducing operator of quasi-t-norm equals the original quasi-t-norm under a given condition and a given scope. We have obtained the relationship between different inducing operators and their relation to the solutions of L-relation equation,arriving at conclusions about n-inducing operators of a quasi-t-norm(or an implication) and putting forward some open problems to be settled.