Aydin, TugceEnginoglu, Serdar2025-01-272025-01-2720222238-36031807-0302https://doi.org/10.1007/s40314-022-01893-4https://hdl.handle.net/20.500.12428/26539Recently, the concept of interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft sets (d-sets) has successfully modelled decision-making problems, where the parameters and alternatives have interval-valued intuitionistic fuzzy values. In the present study, to be able to transfer a large number of data in such problems to a computer environment and to process them therein, we define the concept of interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft matrices (d-matrices). Moreover, we introduce operations, such as union, intersection, and AND/OR/ANDNOT/ORNOT-products, on this concept and study some of their basic properties. We then configure the state-of-the-art soft decision-making (SDM) method constructed by d-sets to render it operable in d-matrices space. Furthermore, we apply it to a performance-based value assignment (PVA) to the seven noise removal filters to compare their ranking orders. Thereafter, we conduct a comparative analysis of the configured method with five state-of-the-art SDM methods. Finally, we discuss d-matrices for future research.eninfo:eu-repo/semantics/closedAccessFuzzy setsSoft setsd-setsd-matricesSoft decision makingArticle41410.1007/s40314-022-01893-4Q1WOS:0008039220000022-s2.0-85131008901Q1