Extending Borda Rule Under q-rung Orthopair Fuzzy Set for Multi-attribute Group Decision-Making

摘要

With a view of generalizing intuitionistic fuzzy set (IFS), q-rung orthopair fuzzy set (q-ROFS) was developed. The q-ROFS mitigates the limitation of IFS in terms of data representation and provides a more flexible environment for decision makers (DMs) to easily express their preference and non-preference values. Motivated by the power of q-ROFS, in this paper efforts are made to propose q-rung orthopair fuzzy preference relations (q-ROFPRs). Further, a new operator called simple q-rung orthopair fuzzy weighted geometry (Sq-ROFWG) is proposed for aggregating preferences. Then, we extend the popular Borda rule to q-ROFPR for sensible ranking of alternatives. Also, the Borda rule is investigated from both broad and narrow context. The practicality and usefulness of the proposed method is demonstrated by using a cloud vendor (CV) selection example. Finally, the strength and weakness of the proposal is discussed.