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Papers by Christophe Labreuche

Research paper thumbnail of Comparing Options with Argument Schemes Powered by Cancellation

Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence

We introduce a way of reasoning about preferences represented as pairwise comparative statements,... more We introduce a way of reasoning about preferences represented as pairwise comparative statements, based on a very simple yet appealing principle: cancelling out common values across statements. We formalize and streamline this procedure with argument schemes. As a result, any conclusion drawn by means of this approach comes along with a justification. It turns out that the statements which can be inferred through this process form a proper preference relation. More precisely, it corresponds to a necessary preference relation under the assumption of additive utilities. We show the inference task can be performed in polynomial time in this setting, but that finding a minimal length explanation is NP-complete.

Research paper thumbnail of Neural Representation and Learning of Hierarchical 2-additive Choquet Integrals

Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence

Multi-Criteria Decision Making (MCDM) aims at modelling expert preferences and assisting decision... more Multi-Criteria Decision Making (MCDM) aims at modelling expert preferences and assisting decision makers in identifying options best accommodating expert criteria. An instance of MCDM model, the Choquet integral is widely used in real-world applications, due to its ability to capture interactions between criteria while retaining interpretability. Aimed at a better scalability and modularity, hierarchical Choquet integrals involve intermediate aggregations of the interacting criteria, at the cost of a more complex elicitation. The paper presents a machine learning-based approach for the automatic identification of hierarchical MCDM models, composed of 2-additive Choquet integral aggregators and of marginal utility functions on the raw features from data reflecting expert preferences. The proposed NEUR-HCI framework relies on a specific neural architecture, enforcing by design the Choquet model constraints and supporting its end-to-end training. The empirical validation of NEUR-HCI on...

Research paper thumbnail of Explanation with the Winter Value: Efficient Computation for Hierarchical Choquet Integrals

Lecture Notes in Computer Science

Research paper thumbnail of Monotone decomposition of 2-additive Generalized Additive Independence models

Mathematical Social Sciences

The GAI (Generalized Additive Independence) model proposed by Fishburn is a generalization of the... more The GAI (Generalized Additive Independence) model proposed by Fishburn is a generalization of the additive value function model, which need not satisfy preferential independence. Its great generality makes however its application and study difficult. We consider a significant subclass of GAI models, namely the discrete 2-additive GAI models, and provide for this class a decomposition into nonnegative monotone terms. This decomposition allows a reduction from exponential to quadratic complexity in any optimization problem involving discrete 2-additive models, making them usable in practice.

Research paper thumbnail of An axiomatization of the Choquet integral in the context of multiple criteria decision making without any commensurability assumption

Annals of Operations Research

Research paper thumbnail of Poster withdrawn

British Journal of Oral and Maxillofacial Surgery

Research paper thumbnail of Method for assisting suggestions aimed at improving at least part of parameters controlling a system with several input parameters

Research paper thumbnail of Un algorithme de détermination de la capacité pour l'intégrale de Choquet 2-additive

L'utilisation de l'intégrale de Choquet en Aide Multicritèreà la Décision (AMCD) nécessite l'iden... more L'utilisation de l'intégrale de Choquet en Aide Multicritèreà la Décision (AMCD) nécessite l'identification de la capacité qui lui est associée. Nous proposons ici un algorithme de détermination d'une capacité pour l'intégrale de Choquet 2-additiveà partir d'une information ordinale fournie par le décideur.

Research paper thumbnail of Interpolation and bipolar ordered structures

Research paper thumbnail of Two Consensus Protocols Based on an Acceptance Threshold in Group Decision Making

Eusflat, 2007

We define two negotiation protocols for Group Decision Making, which main feature is the existenc... more We define two negotiation protocols for Group Decision Making, which main feature is the existence of acceptation thresholds. In order to predict which consensus are expected to arise, we study the equilibria of these protocols in the sense of Game Theory. We also investigate their sensitivity to manipulation by the actors.

Research paper thumbnail of Generic Method for Taking Into Account a Plurality of Parameters in a Value Judgment Function

Research paper thumbnail of Négociation multilatérale et multidimensionnelle d'agents coopératifs. application à la gestion de crise

Research paper thumbnail of Multi-criteria search in constraint programming

Research paper thumbnail of Modeling the Context in Multi-Criteria Decision Analysis

Eusflat, 2007

In Multiple Criteria Decision Analysis, the preferences of the decision maker regarding each crit... more In Multiple Criteria Decision Analysis, the preferences of the decision maker regarding each criterion are classically modelled by a utility function depending on one single variable representing the point of view attached to the criteria. There are situations in which the preferences regarding an attribute depend on more variables. In this case, we propose an extended model taking into account all contributing variables. The main asset of our approach is that it does not requires much more data from the decision maker than the classical model. We also propose an explanation framework.

Research paper thumbnail of A characterization of the 2-additive Choquet integral

Research paper thumbnail of Representation of Two Bipolar Decision Strategies with Generalized Choquet Integrals

Research paper thumbnail of Problemes inverses en diffraction d'ondes bases sur la notion de resonance

Research paper thumbnail of Bi-capacities - I: definition, M�bius transform and interaction

Fss, 2005

Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of... more Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours, encompassing models such as cumulative prospect theory (CPT). The aim of this paper in two parts is to present the machinery behind bi-capacities, and thus remains on

Research paper thumbnail of A characterization of the 2-additive Choquet integral by using a cardinal information

Research paper thumbnail of Method of producing solutions to a concrete multicriteria optimisation problem

Research paper thumbnail of Comparing Options with Argument Schemes Powered by Cancellation

Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence

We introduce a way of reasoning about preferences represented as pairwise comparative statements,... more We introduce a way of reasoning about preferences represented as pairwise comparative statements, based on a very simple yet appealing principle: cancelling out common values across statements. We formalize and streamline this procedure with argument schemes. As a result, any conclusion drawn by means of this approach comes along with a justification. It turns out that the statements which can be inferred through this process form a proper preference relation. More precisely, it corresponds to a necessary preference relation under the assumption of additive utilities. We show the inference task can be performed in polynomial time in this setting, but that finding a minimal length explanation is NP-complete.

Research paper thumbnail of Neural Representation and Learning of Hierarchical 2-additive Choquet Integrals

Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence

Multi-Criteria Decision Making (MCDM) aims at modelling expert preferences and assisting decision... more Multi-Criteria Decision Making (MCDM) aims at modelling expert preferences and assisting decision makers in identifying options best accommodating expert criteria. An instance of MCDM model, the Choquet integral is widely used in real-world applications, due to its ability to capture interactions between criteria while retaining interpretability. Aimed at a better scalability and modularity, hierarchical Choquet integrals involve intermediate aggregations of the interacting criteria, at the cost of a more complex elicitation. The paper presents a machine learning-based approach for the automatic identification of hierarchical MCDM models, composed of 2-additive Choquet integral aggregators and of marginal utility functions on the raw features from data reflecting expert preferences. The proposed NEUR-HCI framework relies on a specific neural architecture, enforcing by design the Choquet model constraints and supporting its end-to-end training. The empirical validation of NEUR-HCI on...

Research paper thumbnail of Explanation with the Winter Value: Efficient Computation for Hierarchical Choquet Integrals

Lecture Notes in Computer Science

Research paper thumbnail of Monotone decomposition of 2-additive Generalized Additive Independence models

Mathematical Social Sciences

The GAI (Generalized Additive Independence) model proposed by Fishburn is a generalization of the... more The GAI (Generalized Additive Independence) model proposed by Fishburn is a generalization of the additive value function model, which need not satisfy preferential independence. Its great generality makes however its application and study difficult. We consider a significant subclass of GAI models, namely the discrete 2-additive GAI models, and provide for this class a decomposition into nonnegative monotone terms. This decomposition allows a reduction from exponential to quadratic complexity in any optimization problem involving discrete 2-additive models, making them usable in practice.

Research paper thumbnail of An axiomatization of the Choquet integral in the context of multiple criteria decision making without any commensurability assumption

Annals of Operations Research

Research paper thumbnail of Poster withdrawn

British Journal of Oral and Maxillofacial Surgery

Research paper thumbnail of Method for assisting suggestions aimed at improving at least part of parameters controlling a system with several input parameters

Research paper thumbnail of Un algorithme de détermination de la capacité pour l'intégrale de Choquet 2-additive

L'utilisation de l'intégrale de Choquet en Aide Multicritèreà la Décision (AMCD) nécessite l'iden... more L'utilisation de l'intégrale de Choquet en Aide Multicritèreà la Décision (AMCD) nécessite l'identification de la capacité qui lui est associée. Nous proposons ici un algorithme de détermination d'une capacité pour l'intégrale de Choquet 2-additiveà partir d'une information ordinale fournie par le décideur.

Research paper thumbnail of Interpolation and bipolar ordered structures

Research paper thumbnail of Two Consensus Protocols Based on an Acceptance Threshold in Group Decision Making

Eusflat, 2007

We define two negotiation protocols for Group Decision Making, which main feature is the existenc... more We define two negotiation protocols for Group Decision Making, which main feature is the existence of acceptation thresholds. In order to predict which consensus are expected to arise, we study the equilibria of these protocols in the sense of Game Theory. We also investigate their sensitivity to manipulation by the actors.

Research paper thumbnail of Generic Method for Taking Into Account a Plurality of Parameters in a Value Judgment Function

Research paper thumbnail of Négociation multilatérale et multidimensionnelle d'agents coopératifs. application à la gestion de crise

Research paper thumbnail of Multi-criteria search in constraint programming

Research paper thumbnail of Modeling the Context in Multi-Criteria Decision Analysis

Eusflat, 2007

In Multiple Criteria Decision Analysis, the preferences of the decision maker regarding each crit... more In Multiple Criteria Decision Analysis, the preferences of the decision maker regarding each criterion are classically modelled by a utility function depending on one single variable representing the point of view attached to the criteria. There are situations in which the preferences regarding an attribute depend on more variables. In this case, we propose an extended model taking into account all contributing variables. The main asset of our approach is that it does not requires much more data from the decision maker than the classical model. We also propose an explanation framework.

Research paper thumbnail of A characterization of the 2-additive Choquet integral

Research paper thumbnail of Representation of Two Bipolar Decision Strategies with Generalized Choquet Integrals

Research paper thumbnail of Problemes inverses en diffraction d'ondes bases sur la notion de resonance

Research paper thumbnail of Bi-capacities - I: definition, M�bius transform and interaction

Fss, 2005

Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of... more Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours, encompassing models such as cumulative prospect theory (CPT). The aim of this paper in two parts is to present the machinery behind bi-capacities, and thus remains on

Research paper thumbnail of A characterization of the 2-additive Choquet integral by using a cardinal information

Research paper thumbnail of Method of producing solutions to a concrete multicriteria optimisation problem