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Accentuating the rank positions in an agreement index with reference to a consensus order
Author(s) -
Leyva López Juan C.,
Alvarez Carrillo Pavel A.
Publication year - 2015
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/itor.12146
Subject(s) - index (typography) , rank (graph theory) , convergence (economics) , position (finance) , order (exchange) , set (abstract data type) , measure (data warehouse) , relevance (law) , agreement , econometrics , computer science , mathematics , mathematical economics , data mining , economics , law , political science , combinatorics , linguistics , philosophy , finance , world wide web , programming language , economic growth
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.