Decision-making in semi-democratic contexts

Abstract

A general problem, which may concern practical contexts of different nature, is to aggregate multi-experts rankings on a set of alternatives into a single fused ranking. Aggregation should also take into account the experts' importance, which may not necessarily be the same for all of them. We synthetically define this context as semi-democratic. The main aim of the paper is the analysis of the possible semi-democratic paradigms that can be conceived when the experts' importance is not the same: (i) the importance is described by means of a weighting vector; (ii) the importance is expressed by a weak order on the set of experts; (iii) the importance is described by a weak order on the set of experts with additional information on the ordinal proximities among them. The three paradigms can be applied in different decision-making situations, where some experts perform multiple assignments. In this paper various situations are discussed and analyzed in detail. A series of examples, in the field of interior design of a new car, will complement the description.

Analysing paradoxes in design decisions: the case of “multiple-district” paradox

“…Regarding the future, we plan to extend the proposed methodology (i) to the use of new concordance and coherence indicators, and (ii) to investigate further paradoxes. two expert rankings, i.e., the so-called Kendall's coefficient of concordance, which is defined as [14,32,45,46,[48][49][50][51]53]:…”

A multi-criteria procedure in new product development using different qualitative scales

“…It is possible to extend the procedure to a scenario where panelists may have different expertise. Franceschini and García-Lapresta [6] provide three paradigms to deal with that problem.…”

“…In a semi-democratic context, Franceschini and García-Lapresta [6] consider the possibility of assigning numerical weights to experts when their importance is not the same. Experts' opinions are replicated following the same pattern of the papers mentioned above.…”

Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix

“…Many achievements on the consistency of linguistic judgement matrix have been obtained [9][10][11][12][13][14][15][16]. From the current research results, few scholars directly use the definition to determine the satisfactory consistency of the linguistic judgement matrix.…”