Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Graphs with Application

Yager's q-rung orthopair fuzzy sets (q-ROFSs) can powerfully modify the range of indication of choice data by changing a parameter q based on the different hesitation degree and the dual hesitant q-rung orthopair fuzzy set (DHq-ROFS), a new technique to consider human's hesitance, can be more substantial of dealing with real multi-attribute decision making (MADM) problems. In this paper, we introduce the innovative concept of dual hesitant q-rung orthopair fuzzy graphs based on Hamacher operator called dual hesitant q-rung orthopair fuzzy Hamacher graphs (DHq-ROFHGs) and determine its energy and Randic energy. In particular, we present the energy of a generalized splitting DHq-ROFHG and generalized shadow DHq-ROFHG. Finally, a numerical instance related to the potential evaluation of emerging technology commercialization is presented to demonstrate the validity of the proposed concept in decision making and a comparison with existing method is provided. The experimental results show that the proposed approach outperforms the existing MADM approaches.