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The Choquet integral is a preference model used in Multiple Criteria Decision Aiding (MCDA) to deal with interactions between criteria. The Stochastic Multiobjective Acceptability Analysis (SMAA) is an MCDA methodology used to take into…

Optimization and Control · Mathematics 2013-02-28 Silvia Angilella , Salvatore Corrente , Salvatore Greco

In this paper we propose a new multiple criteria decision aiding method to deal with sorting problems in which alternatives are evaluated on criteria structured in a hierarchical way and presenting interactions. The underlying preference…

Optimization and Control · Mathematics 2020-03-11 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

The level dependent Choquet integral has been proposed to handle decision making problems in which the importance and the interaction of criteria may depend on the level of the alternatives' evaluations. This integral is based on a level…

Optimization and Control · Mathematics 2019-05-21 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

In many ranking problems, some particular aspects of the addressed situation should be taken into account in the aggregation process. An example is the presence of correlations between criteria, which may introduce bias in the derived…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Guilherme D. Pelegrina , Leonardo T. Duarte , Michel Grabisch , João M. T. Romano

In multi-criteria decision aiding, the Choquet integral has been used as an aggregation operator to deal with interacting criteria, having as a requirement a prior assumption of common scale for all the criteria. This restriction on the…

Optimization and Control · Mathematics 2019-12-04 Renata Pelissari , Leonardo Tomazeli Duarte

This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation of criteria (interacting criteria). We show that the…

Discrete Mathematics · Computer Science 2008-12-18 Christophe Labreuche , Michel Grabisch

The evaluation of sustainable development - and, in particular, rural development - through composite indices requires taking into account a plurality of indicators, which are related to economic, social and environmental aspects. The…

Optimization and Control · Mathematics 2018-01-17 Silvia Angilella , Pierluigi Catalfo , Salvatore Corrente , Alfio Giarlotta , Salvatore Greco , Marcella Rizzo

PROMETHEE methods are widely used in Multiple Criteria Decision Aiding (MCDA) to deal with real decision making problems. A crucial aspect of the classical PROMETHEE methods is the choice of criteria weights. In this paper, we propose to…

Optimization and Control · Mathematics 2013-02-25 Salvatore Corrente , Josè Rui Figueira , Salvatore Greco

Models in Multicriteria Decision Analysis (MCDA) can be analyzed by means of an importance index and an interaction index for every group of criteria. We consider first discrete models in MCDA, without further restriction, which amounts to…

Computer Science and Game Theory · Computer Science 2018-03-21 Mustapha Ridaoui , Michel Grabisch , Christophe Labreuche

The Choquet integral is a powerful aggregation operator which lists many well-known models as its special cases. We look at these special cases and provide their axiomatic analysis. In cases where an axiomatization has been previously given…

Economics · Quantitative Finance 2016-12-01 Mikhail Timonin

Multi-criteria decision-making (MCDM) problems involve the evaluation of alternatives based on various minimization and maximization criteria. Similarly, efficiency evaluation (EA) methods assess decision-making units (DMUs) by analyzing…

Optimization and Control · Mathematics 2024-06-11 Fuh-Hwa Franklin Liu , Su-Chuan Shih

This paper deals with an improved version of the deck of the cards method to render the construction of the ratio and interval scales more `accurate'. The improvement comes from the fact that we can account for a richer and finer preference…

Optimization and Control · Mathematics 2019-04-03 Salvatore Corrente , José Rui Figueira , Salvatore Greco

Despite the availability of qualified research personnel, up-to-date research facilities and experience in developing applied research and innovation, many worldwide research institutions face difficulties when managing contracted Research…

Artificial Intelligence · Computer Science 2019-12-12 Renata Pelissari , Alvaro José Abackerli , Sarah Ben Amor , Maria Célia Oliveira , Kleber Manoel Infante

A novel approach for solving a multiple judge, multiple criteria decision making (MCDM) problem is proposed. The ranking of alternatives that are evaluated based on multiple criteria is difficult, since the presence of multiple criteria…

Applications · Statistics 2018-07-17 Daniel Kostner

Multicriteria decision analysis (MCDA) is a widely used tool to support decisions in which a set of alternatives should be ranked or classified based on multiple criteria. Recent studies in MCDA have shown the relevance of considering not…

Machine Learning · Computer Science 2024-01-17 Betania Silva Carneiro Campello , Leonardo Tomazeli Duarte , João Marcos Travassos Romano

We present the Multiple Criteria Decision Analysis Methods Selection Software (MCDA-MSS). This decision support system helps analysts answering a recurring question in decision science: Which is the most suitable Multiple Criteria Decision…

Artificial Intelligence · Computer Science 2021-06-15 Marco Cinelli , Miłosz Kadziński , Grzegorz Miebs , Michael Gonzalez , Roman Słowiński

We consider a variant of the set covering problem with uncertain parameters, which we refer to as the chance-constrained set multicover problem (CC-SMCP). In this problem, we assume that there is uncertainty regarding whether a selected set…

Optimization and Control · Mathematics 2026-05-04 Shunyu Yao , Neng Fan , Pavlo Krokhmal

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

In this study, we consider two classes of multicriteria two-stage stochastic programs in finite probability spaces with multivariate risk constraints. The first-stage problem features a multivariate stochastic benchmarking constraint based…

Optimization and Control · Mathematics 2020-06-02 Nilay Noyan , Merve Merakli , Simge Kucukyavuz

Several non-linear functions and machine learning methods have been developed for flexible specification of the systematic utility in discrete choice models. However, they lack interpretability, do not ensure monotonicity conditions, and…

Applications · Statistics 2021-12-07 Subodh Dubey , Oded Cats , Serge Hoogendoorn , Prateek Bansal
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