An Ordinal Multi-criteria Decision-Making Procedure in the Context of Uniform Qualitative Scales

In this contribution, we propose a multi-criteria decision-making procedure that has been devised in a purely ordinal way. Agents evaluate the alternatives regarding several criteria by assigning one or two consecutive terms of a uniform ordered qualitative scale to each alternative in each criterion. Weights assigned to criteria are managed through replications of the corresponding ratings, and alternatives are ranked according to the medians of their ratings after the replications.

[1]  Rida Laraki,et al.  A theory of measuring, electing, and ranking , 2007, Proceedings of the National Academy of Sciences.

[2]  José Luis García-Lapresta,et al.  A Distance-based Extension of the Majority Judgement Voting System , 2011 .

[3]  José Luis García-Lapresta,et al.  Ordinal proximity measures in the context of unbalanced qualitative scales and some applications to consensus and clustering , 2015, Appl. Soft Comput..

[4]  Rida Laraki,et al.  HOW BEST TO RANK WINES: MAJORITY JUDGMENT , 2013 .

[5]  Dan S. Felsenthal,et al.  The Majority Judgement Voting Procedure : A Critical Evaluation 1 , 2009 .

[6]  Núria Agell,et al.  Selecting the best taste: A group decision-making application to chocolates design , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).

[7]  José Luis García-Lapresta,et al.  Linguistic-based voting through centered OWA operators , 2009, Fuzzy Optim. Decis. Mak..

[8]  Núria Agell,et al.  Measuring consensus in group decisions by means of qualitative reasoning , 2010, Int. J. Approx. Reason..

[9]  José Luis García-Lapresta,et al.  A Linguistic Approach to Multi-criteria and Multi-expert Sensory Analysis , 2014, IPMU.

[10]  José Luis García-Lapresta,et al.  Allowing agents to be imprecise: A proposal using multiple linguistic terms , 2014, Inf. Sci..

[11]  Louise Travé-Massuyès,et al.  The Orders of Magnitude Models as Qualitative Algebras , 1989, IJCAI.

[12]  José Luis García-Lapresta,et al.  Aggregating Imprecise Linguistic Expressions , 2014, Human-Centric Decision-Making Models for Social Sciences.

[13]  M. Balinski,et al.  Majority Judgment: Measuring, Ranking, and Electing , 2011 .