This research presents two new Yager's ordered weighted aggregation operators using interval-valued $q$-rung picture fuzzy (Ⅳ- $q$-RPF) knowledge, namely the interval-valued $q$-rung picture fuzzy Yager ordered weighted averaging operator (Ⅳ- $q$-RPFYOWAO) and the interval-valued $q$-rung picture fuzzy Yager ordered weighted geometric operator (Ⅳ- $q$-RPFYOWGO). A pair of novel score and accuracy functions for interval-valued $q$-rung picture fuzzy numbers (Ⅳ- $q$-RPFNs) is formulated. A step-by-step process is designed to solve multi-attribute decision-making (MADM) problems using the proposed methods in Ⅳ- $q$-RPF settings. In addition, these methods are efficiently applied to solve the MADM problem of identifying an optimal spacecraft shielding material against cosmic radiation. A detailed comparative study is presented to illustrate the validity of the suggested techniques in comparison with the existing knowledge.