Abstract
In this article, we invent the Bonferroni mean (BM) operators using interval-valued picture hesitant fuzzy (IVPHF) technique, called IVPHF Bonferroni mean (IVPHFBM), IVPHF-weighted BM (IVPHFWBM), IVPHF geometric BM (IVPHFGBM), and IVPHF-weighted geometric BM (IVPHFWGBM) operators. These presented techniques are very beneficial and valuable because these are modified versions of many existing techniques. Moreover, we also examine three basic properties of each presented operator. In addition, we demonstrate the technique of multi-attribute decision-making (MADM) problem and try to describe it with the presence of evaluated techniques to show the capability and superiority of the invented theory. In last, we compare the prevailing techniques with presented studies to illustrate the supremacy and effectiveness of the derived approaches.
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