A Methodological Approach Based on the Choquet Integral for Sustainable Valuations

Several methods and operational tools for assessing the sustainability and corresponding aspects can be identified in the current literature. At international level, the use of synthetic indices is clearly established through analytical indicators capable of expressing multiple aspects from an economic, social and environmental perspective. By a literature review, the construction of indices through a multi-criteria approach can be placed in the weights assignment and in construction processes based on the geometric and arithmetic average of values. The allocation of appropriate weights to performance indicators lacks, in particular, an objectivemethodology and subjective elements linked, e.g., to the decision-makers involved and corresponding interests. This research aims to describe a methodological frame for indices constructing through the multi-criteria approach of the Choquet Integral. The use of Choquet's integral supports the evaluations of multiple aspects of sustainability as monitoring of the relative unbalanced values, and the weights assignment occurs through analytical functions well-established, as the Shapley function.