Taylor and Francis Group and Juraj Dobrila University of Pula, Faculty of economics and tourism Dr. Mijo Mirković
Doi
Abstract
The consensus reaching process (CRP) aims at reconciling the
conflicts between individual preferences when eliciting collective
preferences. The ordinal CRP based on the positional orders of
alternatives in linear rankings is straightforward and robust; however, for partial rankings involving preference, indifference and
incomparability relations, there is no explicit positional order but
are binary relations. This study focuses on partial rankings that
may occur when using the ORESTE (organısation, rangement et
Synthese de donnees relarionnelles, in French) method for making
decisions, and designs an ordinal CRP pertaining to the binary
relations of alternatives. Concretely, we propose an enhanced
ordinal consensus measure with two hierarchies to measure the
agreement levels between individual partial rankings. Consensus
degrees are calculated based on the frequency distribution of binary relation types, which can avoid subjective axiomatic assumptions on the relations themselves. Besides, a consensus threshold
determination method close to cognitive expression is developed.
A feedback mechanism is designed to aid experts to modify preferences towards group consensus. An example about the evaluation of automotive design schemes is presented to validate the
proposed ordinal CRP. A ranking result that allows the incomparability relations of design schemes is obtained after the information exchange among experts
