A novel approach to multi‐attribute group decision making based on power neutrality aggregation operator for q ‐rung orthopair fuzzy sets

Abstract

In this paper, based on power aggregation (PA) operators, neutrality average and neutrality geometric aggregation operators are proposed. Furthermore, a general score function for q-rung orthopair fuzzy sets (q-ROFSs) is proposed. PA can reduce the impact of excessively high or excessively low arguments. It also emphasizes the interrelationship between attributes on the decision matrix. PA and neutrality aggregations (NAs) were hybrid with more fair and neutral decisions of the DMs evaluations. Also, neutrality aggregation operator provides reliable results by taking into account neutrality among decision-makers. On the one hand, through its dynamic structure, q-ROFSs provide a wider evaluation for decision-makers (DMs). q-ROFSs include many fuzzy sets with varying q ≥ 1 parameters. One of the most important parts of multi-attribute group decision-making problems is that DMs do not take into account their bias. On the other hand, the NA operator evaluates the decisions of the DMs from a neutral attitude perspective. The power neutrality aggregation operator proposed in this study produces more objective results. The proposed operator is more consistent with the advantages of both operators and it deals with the attitude of DMs more objectively. Validity tests are applied to the proposed methods. Also, the superior aspects of the proposed methods are demonstrated by numerical examples. As a result of validity tests and comparisons with other studies in the literature, it is seen that the proposed methods give effective results.