Some q-Rung Orthopair Fuzzy Hamy Mean Aggregation Operators with Their Application

The recently proposed q-rung orthopair fuzzy sets (q-ROFSs) have great powerfulness and ability to express decision makers’ (DMs’) fuzzy and complicated preference information over alternatives in the procedure of multiple attribute decision making (MADM). Aggregation operators (AOs) are one of the most important topics in the MADM theory. The purpose of this paper is to propose new q-rung orthopair fuzzy (q-ROF)AOs. Given the fact that attributes are usually correlated in most practical MADM problems and such kind of interrelationship should be taken into account when fusing the corresponding attribute values, we extend the powerful Hamy mean (HM) function to q-ROFSs and propose novel AOs for q-ROF information. The proposed AOs have inherent advantages and flexibility of HM function and are more suitable to deal with MADM problems in which DMs’ evaluation information is expressed by q-ROF numbers (q-ROFNs). We further utilize the developed AOs to introduce a new MADM method. Finally, we use the proposed method to evaluate the quality of life (QOL) of cancer patients.