Linguistic Complex Fuzzy Sets

Complex fuzzy sets (CFSs) are a suitable tool to manage spatial directional information which includes distance and direction. However, is given by linguistic values. It very awkward for the CFS describe this type of information. To overcome limitation, we first propose novel concept called complex set (LCFS) serve as an extension CFS. Then put forward some basic operational laws LCFSs. After that, define three operators LCFSs: weighted averaging (LCFWA) operator, amplitude max (Amax) operator min (Amin) operator. In actual application, use LCFWA deal with group decision making when importance weights experts known. For situation in unknown, develop Amax-Amin method making.