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Group decision making with incomplete \(q\)-rung orthopair fuzzy preference relations. (English) Zbl 1486.91033

Summary: 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.

MSC:

91B06 Decision theory
91B86 Mathematical economics and fuzziness
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