Quaternion Intuitionistic Fuzzy Fusion Process: Applications to the Classification of Photo-Voltic-Solar-Power Plants

Abstract

Intuitionistic fuzzy sets (IFSs) are more useful than FSs for modelling uncertain data of realistic problems by allowing the hesitancy degree. Due to which different extensions of IFSs are available with different domains and objectives. One of the important generalization of IFS is quaternion IFS (QIFS) based on the concept of quaternion numbers. Despite the significance of QIFS, there’s been a notable gap in exploring the aggregation of QIFS information which is the motivation of the presented study. Consequently, this manuscript effort to established some aggregation operators under QIFS environment. Their important properties are also analysed. Firstly, a new novel order relation of QIF numbers (QIFNs) is introduced to address limitations in existing model. Secondly, a sequence of aggregation operators termed as “the QIFA, the QIFG, the QIFOA and the QIFOG” are proposed under QIFS environment. Then, these approaches are applied to the classification of photo-voltic (PV) solar power plants. The obtained results are compared with some other existing models in details to show its supremacy. Finally, the conclusions of the presented study are listed.