Complex picture fuzzy N-soft sets and their decision-making algorithm

When a decision-maker gives such type of data like yes, no, abstain, or neutral along with 2-dimensional information in grading system, then the existing notions as fuzzy N-soft set (FN-SS), intuitionistic FN-SS are not capable to handle data. To and other problems we introduce notion complex picture sets (CPFN-SS) which is fusion (CPFSs) (N-SS). CPFN-SS vital technique tricky unreliable real-life decision-making problems. We also novel definition soft combination sets. In sets, N-SSs, FN-SSs (IFN-SSs), FN-SSs, IFN-SSs generalized. Furthermore, describe some basic operations on CPFN-SSs complement, extended union, restricted intersection, intersection illustrate them help examples. After that, define an algorithm solve environment CPFN-SSs. show advantages usefulness proposed represent two applications, i.e., performance assessment e-waste recycling program predication about champions FIFA world cup 2022 through audience poll our established model decision making. end, do comparison methods shows that more effective, better, generalization ones.