Soft Consensus Under Weighted Average Aggregation Operator and Its Effect on Consensus

Facilitating consensus in group decision-making involves some decision-makers or groups reaching a certain agreement after thorough discussion.Extensive research has been conducted on achieving consensus regarding costs in group decision-making, and they often utilize aggregation operators to combine individual opinions into a group opinion. However, the influence of aggregation operators on cost consensus remains uncertain. This study establishes cost consensus models using three different weighted average aggregation operators and a model without any aggregation operator. The analysis explores how consensus results are affected by various weighted average aggregation operators. This paper indicates that employing aggregation operator in cost consensus model raises the total consensus cost, and reveals its effect on the consensus-building process.