Some improved interactive aggregation operators under interval-valued intuitionistic fuzzy environment and its application to decision making process

Abstract

The objective of this manuscript is to present an improved aggregator operator by taking into accountthe effect of an unknown degree (hesitancy degree) in an interval-valued intuitionistic fuzzysets (IVIFSs) environment. For this, firstly the shortcoming of the existing operators is addressedand then some improved operational laws on IVIFSs have been introduced. Based on these laws, anaggregation operator, namely an interval-valued intuitionistic fuzzy Hamacher interactive weightedaveraging (IVIFHIWA), ordered weighted averaging (IVIFHIOWA) and hybrid weighted averaging(IVIFHIHWA), have been proposed. Various properties related to these operators are also investigated.Furthermore, based on these operators, an approach to deal with multi-criteria decisionmaking (MCDM) problem is developed. Finally, a practical example is provided to illustrate thedecision making process.