Accentuating the rank positions in an agreement index with reference to a consensus order

In this paper, we propose an index that measures the agreement level between an individual opinion and a collective opinion when both are expressed by rankings of a set of alternatives. This index constitutes an interesting weighted version of the well‐known Kendall's ranks correlation index. The originality of the proposed index arises from the fact that it accounts for the relevance of the specific position of the alternatives in an individual order to quantify the agreement level of the individual order with respect to a collective temporary order. The paper also introduces a new consensus measure model. The core of the consensus model is the proposed agreement index. We present an illustrative example to describe the consensus process. We can obtain a faster convergence to a consensus solution using this new index compared to Kendall's index.