A novel algorithmic multi-attribute decision-making framework for solar panel selection using modified aggregations...

To address the shortcomings of the cubic intuitionistic fuzzy sets (CIFSs) for the entitlement of multi-argument approximate function, the cubic intuitionistic fuzzy hypersoft set (Ω-set) is an emerging study area. This type of setting associates the sub-parametric tuples with the collection of CIFSs. Categorizing the evaluation of parameters into their corresponding sub-parametric values based on non-overlapping sets has significance in decision making and optimization related situations. Some operations of Ω-set are proposed in this study, along with certain practical features. We provide the complement, P-order, and R-order subsets, P-union ( $$ ), R-union ( $$ ), P-intersection ( $$ ) and R-intersection ( $$ ) of Ω-sets. The internal cubic intuitionistic fuzzy hypersoft set ( $$ -set) and the external cubic intuitionistic fuzzy hypersoft set ( $$ -set) are also proposed in this paper, which will aid researchers in applying this new theory to other areas of study. We show a few examples in this context and look into some more aspects of $$ , $$ , $$ and $$ of $$ -sets and $$ -sets. Arguments for a few significant theorems about $$ -sets and $$ -sets are also presented. Lastly, an algorithm is presented that assists decision-makers in evaluating appropriate solar panels to establish solar plants. The proposed algorithm uses the idea of $$ and $$ for two Ω-sets constructed based on expert opinions of decision makers.