Some Picture Fuzzy Aggregation Operators based on Frank t-norm and t-conorm: Application to MADM Process

In this paper, we develop some new operational laws and their corresponding aggregation operators for picture fuzzy sets ( PFSs ). PFS is a powerful tool to deal with vagueness, which generalization of set intuitionistic (IFS). can model uncertainty in such situations, consist more than two answers like yes, refusal, neutral, no. The operations t-norm t- conorms , developed by Frank, are usually better application its flexibility. From that point view, the concepts Frank introduced aggregate information. We propose numbers PFNs ) based on conorm . Further, assistance these laws, introduce weighted averaging PFFWA operator, order PFFOWA hybrid PFFHA geometric PFFWG PFFOWG PFFHG operator discussed suitable properties. Then, help Operators, have presented an algorithm solve multiple-attribute decision making MADM problems under environment. Finally, used numerical example illustrate flexibility validity proposed method, compared results other existing methods.