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Choquet capacity identification for multiple criteria sorting problems: A novel proposal based on Stochastic Acceptability Multicriteria Analysis

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Author(s):
Pelissari, Renata ; Abackerli, Alvaro Jose ; Duarte, Leonardo Tomazeli
Total Authors: 3
Document type: Journal article
Source: APPLIED SOFT COMPUTING; v. 120, p. 18-pg., 2022-05-01.
Abstract

The Choquet integral is an aggregation operator widely used to deal with interacting criteria in multiple criteria decision analysis (MCDA). A practical problem regarding the use of the Choquet integral is the identification of its parameters, which are known as Choquet capacity. While capacity identification has received considerable attention in the context of ranking problems, it is difficult to find solutions tailored to sorting problems, which is the focus of this paper. We propose a novel method based on the Stochastic Acceptability Multicriteria Analysis (SMAA), by introducing the concept of feasible categorization scenarios. Moreover, two novel SMAA-based descriptive measures are proposed in order to provide valuable information for decision aiding, including the interpretation of the Choquet capacity and the possibility of exploiting the space of capacities by considering the decision makers' initial preferences. Another feature of our proposal is the ability of dealing with unbalanced threedimensional decision arrays. Numerical experiments with synthetic data were conducted to assess the proposed method. Furthermore, the applicability of our proposal is also attested to a case study related to the evaluation of research institutions. (C) 2022 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 20/01089-9 - Unsupervised signal separation: a study on the applicability of Generative Adversarial Networks and on nonlinear models based on the Choquet Integral
Grantee:Leonardo Tomazeli Duarte
Support Opportunities: Regular Research Grants
FAPESP's process: 20/09838-0 - BI0S - Brazilian Institute of Data Science
Grantee:João Marcos Travassos Romano
Support Opportunities: Research Grants - Research Centers in Engineering Program