In this paper, we investigate the multiple attribute decision making (MADM) problems for evaluating the development potential of digital media technology with fuzzy number intuitionistic fuzzy information. We first introduce some operations on the fuzzy number intuitionistic fuzzy sets. Then, we further develop the fuzzy number intuitionistic fuzzy Hamacher weighted geometric (FNIFHWG) operator. Then, we apply the fuzzy number intuitionistic fuzzy Hamacher weighted geometric (FNIFHWG) operator to deal with MADM problems with the fuzzy number intuitionistic fuzzy information. Finally, an illustrative example for evaluating the development potential of digital media technology with the fuzzy number intuitionistic fuzzy information is given to verify the developed approach.
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