A novel complex fuzzy N-soft sets and their decision-making algorithm

Abstract Complex fuzzy N-soft set (CFN-SS) is an important technique to manage awkward and unreliable information in realistic decision-making problems. CFN-SS a blend of two separate theories, called sets (N-SSs) complex (CFSs), which are the modified versions soft (SSs) (FSs) depict vague uncertain daily life In this manuscript, novel concept explored their fundamental laws discussed. contains grade truth form number whose real imaginary parts limited unit interval. Besides, we examine some algebraic properties for like union, intersections justify these with help numerical examples. To superiority effectiveness proposed approaches, special cases investigated approaches also A procedure developed by using ideas based on CFN-SSs. Further, examples illustrated find reliability approaches. Finally, comparative analysis existing demonstrated prove quality works. The graphical expressions obtained results