A Method Converting Multi-Properties Objective Reachability Problems to Multi-Objective Sets Reachability Problems over FKS

In this paper, we focus on the symmetrical relationship between multi-properties objective reachability problems and multi-objective sets over FKS based Zadeh logic. First, give formal definitions of those two problems. Then, study their relationships find that a problem special case have symmetry. Finally, polynomial time algorithm symmetry to convert problem. addition, an illustrative example is listed express some possible application methods our work.