Group decision making with incomplete q-rung orthopair fuzzy preference relations

Abstract

Abstract In this paper, we propose a novel group decision making (GDM) method in incomplete q-rung orthopair fuzzy preference relations (q-ROFPRs) environments. We propose an additive consistency definition, which is characterized by a q-rung orthopair fuzzy priority vector. The property of the proposed additive consistency definition is offered and a model to obtain missing judgments in incomplete q-ROFPRs is proposed. We present an approach to adjust the inconsistency for q-ROFPRs, propose a model to obtain the priority vector, and propose a method to increase consensus degrees of q-ROFPRs. Finally, we present a GDM method in incomplete q-ROFPRs environments and use two illustrative examples and some comparisons to illustrate that our method outperforms the existing methods for GDM in incomplete q-ROFPRs environments. The proposed GDM method offers us a useful way for GDM in incomplete q-ROFPRs environments.