Publisher Correction: Picture Fuzzy Parameterized Picture Fuzzy Soft Sets and Their Application in a Performance-Based Value Assignment Problem to Salt-and-Pepper Noise Removal Filters

In real-world problems such as voting for an election, decisions of the electorate may be split into three types: yes, no, and abstain. The concept of picture fuzzy sets ( pf -sets) has been put forward to model such problems. This study introduces a new concept, i.e., picture fuzzy parameterized picture fuzzy soft sets ( pfppfs -sets), to model problems containing parameters and alternatives with picture fuzzy membership. Afterwards, it proposes a soft decision-making (SDM) method via pfppfs -sets. Next, the proposed SDM method is applied to a performance-based value assignment (PVA) problem to salt-and-pepper noise (SPN) removal filters and compared with the four SDM methods in different structures. The results manifest that pfppfs -sets and the proposed SDM method produce consistent ranking order for PVA problems to SPN removal filters.