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

Document Type : Article


1 School of Mathematics, Thapar University Patiala 147004, Punjab, India

2 Department of Mathematics, Jaypee Institute of Information and Technology Noida - 201307, U.P., India


The objective of this manuscript is to present an improved aggregator operator by taking into account
the effect of an unknown degree (hesitancy degree) in an interval-valued intuitionistic fuzzy
sets (IVIFSs) environment. For this, firstly the shortcoming of the existing operators is addressed
and then some improved operational laws on IVIFSs have been introduced. Based on these laws, an
aggregation operator, namely an interval-valued intuitionistic fuzzy Hamacher interactive weighted
averaging (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 decision
making (MCDM) problem is developed. Finally, a practical example is provided to illustrate the
decision making process.


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