Geometric Bonferroni means of interval-valued intuitionistic fuzzy numbers and their application to multiple attribute group decision making

The aim of the paper was to propose the interval-valued intuitionistic fuzzy geometric Bonferroni mean and the weighted interval-valued intuitionistic fuzzy geometric Bonferroni mean for aggregating interval-valued intuitionistic fuzzy sets, taking into account the interrelationship between interval-valued intuitionistic fuzzy arguments. Then, some useful properties and special cases of the developed operators are investigated. Furthermore, the developed operators are used to put forward an approach for multiple attribute group decision making with interval-valued intuitionistic fuzzy information. Finally, an illustrative example is furnished to show the feasibility and practicality of the developed approach.