Abstract
The notions of q-rung triangular orthopair fuzzy numbers (q-ROTFNs) to deal with ambiguous data in multi-attribute decision-making (MADM) problems. The purpose of this manuscript is to propose a new concept called q-ROTFNs to handle multipart ambiguous data in real decision-making problems. Then the important laws and their examples of the q-ROTFNs are also given. Furthermore, the notions of q-rung triangular orthopair operator, q-RTFWA, q-ROTFWA, q-ROTFHWA, q-ROTFWG, q-ROTFOWG, and q-ROTFHWG operators are proposed and their basic properties are also discussed. Moreover, we mature an original approach to MADM using proposed operators and a numerical example is used to call the flexibility and overtly of the originated operators. In last, the comparison between the proposed method and existing work is also deliberated in part.