A new Ordinal Regression procedure for Multiple Criteria Decision Aiding: the case of the space time model for a sustainable Ecovillage

TL;DR

This paper introduces a novel ordinal regression method combined with multiobjective optimization and a new preference elicitation procedure to improve decision-making in space-time planning for sustainable Ecovillages.

Contribution

It develops a new elicitation approach integrating deck of cards and ordinal regression with a Choquet integral value function for multi-criteria decision aiding.

Findings

Successfully applied to Ecovillage planning case in Italy

Enhanced decision support with iterative preference refinement

Demonstrated effectiveness of the new methodology in real-world scenario

Abstract

In this paper, we present a methodology based on a multiobjective optimization suggesting which facility to implement, in which location, and at which time. In this context, we define a new elicitation procedure to handle Decision Makers (DMs) preferences with an intrinsic and more general interest that goes beyond the specific decision problem. In particular, the user's preferences are elicited by conjugating the deck of cards method with the ordinal regression approach allowing the DM to provide preference information in terms of ranking and pairwise comparing with regard to the intensity of preference of some solutions of the optimization problem. Then, the score of the reference solutions obtained through the deck of the cards method is used as a basis for an ordinal regression procedure that, to take into account interaction between criteria, represents DM's multicriteria preferences by means of a value function expressed in terms of a Choquet Integral. The obtained value function is then used to define a multiobjective optimization problem. The new feasible solutions obtained by the resolution of the optimization problem are proposed to the DM to verify his appreciation and collect further new preference information to iterate the interaction procedure ending when the DM is satisfied of the proposed solution. We apply our methodology to a real world problem to handle the planning procedure of a sustainable Ecovillage in the province of Turin (Italy). We consider a set of facilities to be distributed in a given space in a proper temporal sequence that we conveniently formulated in terms of the space time model introduced by Barbati et al. (2020). We interact with the President of the cooperative owning the Ecovillage to detail what facilities of the Ecovillage should be selected among the proposed ones, where they should be located, and when they should be planned.