On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application

Abstract

We consider the use of the Choquet integral for evaluating projects or actions in a real-world application starting from the case of the re-qualification of an abandoned quarry. Despite the Choquet integral being a very well-known preference model for which there is a rich and well developed theory, its application in a multiple criteria decision aiding perspective requires some specific methodological developments. This led us to work out and implement, in practice, two new procedures: A first procedure to build interval scales with the objective of assigning utility values on a common scale to the criteria performances, and a second one to construct a ratio scale for assigning numerical values to the capacities of the Choquet integral. This article discusses the strengths and weaknesses of the Choquet integral as appearing in the case study, proposing as well insights related to the interaction of the experts within a focus group.

q ‐Rung orthopair fuzzy Choquet integral aggregation and its application in heterogeneous multicriteria two‐sided matching decision making

“…(1) It is obvious since the calculation of q-ROFCI is based on the basic operations of q-ROFNs. (2) According to the result of Theorem 3, we have…”

“…The Choquet integral is an effective tool to aggregate information by considering the relative importance of decision criteria and their interrelationships. It has been wildly discussed under different decision‐making environments, where Choquet integral are remarkable in the fuzzy environment . For example, based on the research on intuitionistic fuzzy sets (IFSs), Wu et al introduced the integration properties of the intuitionistic fuzzy Choquet integral and its adaption in the multicriteria decision making.…”

“…It has been wildly discussed under different decision-making environments, where Choquet integral are remarkable in the fuzzy environment. [2][3][4][5][6] For example, based on the research on intuitionistic fuzzy sets (IFSs), 7 Wu et al 8 introduced the integration properties of the intuitionistic fuzzy Choquet integral and its adaption in the multicriteria decision making. Büyüközkan et al 9 utilized the Choquet integral for selection of sustainable urban transportation alternatives.…”

As simple as possible but not simpler in Multiple Criteria Decision Aiding: the robust-stochastic level dependent Choquet integral approach

“…The database used in this study is U-Multirank [48] where the evaluations can vary between 1 (Weak) to 5 (Very Good). For the sake of simplicity we are supposing that the ordinal evaluations from 1 to 5 are accepted by the DM as the corresponding utility value (for two procedures to assess utility values see [2,6]). At the beginning, 1609 universities are considered.…”

The multilinear model in multicriteria decision making: The case of 2-additive capacities and contributions to parameter identification

“…In this context, one may use an aggregation function that takes into account the interaction among criteria, such as the Choquet integral (Choquet, 1954) or the multilinear model (Owen, 1972). For instance, Choquet integral has been applied in several areas, such as in ergonomics (Raufaste et al, 2001;Grabisch et al, 2006), supply chain management (Feyzioglu and Büyüközkan, 2010), tourism (Li et al, 2013) and project evaluations (Bottero et al, 2018).…”