ACUTA: A novel method for eliciting additive value functions on the basis of holistic preference statements

Bous, Géraldine; Fortemps, Philippe; Glineur, François; Pirlot, Marc

doi:10.1016/j.ejor.2010.03.009

Cited by 79 publications

(33 citation statements)

References 14 publications

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“…To carry out the decision-making process for the evaluation, we resort to a multiple criteria decision aid (MCDA) technique named ACUTA (Analytic Centre UTilité Additive) based on the computation of the analytic centre of a polyhedron for the selection of additive value functions that are compatible with holistic assessments of the preferences in the criteria (Bous, Fortemps, Glineur, & Pirlot 2010). Being central by definition and uniquely defined, the analytic centre benefits from theoretical advantages over the notion of centrality used in other meta-UTA methods.…”

Section: Assessment Methodologymentioning

confidence: 99%

“…The theoretical framework around this concept lies at the heart of interiorpoint methods for solving linear programming optimisation problems. In ACUTA, it is suggested to compute a unique, well-defined and central solution for aggregation-disaggregation methods based on additive piecewise linear value function models (Bous, Fortemps, Glineur, & Pirlot 2010).…”

Section: Analytic Centermentioning

confidence: 99%

See 1 more Smart Citation

A note on the ratio of the extreme to the root of the sum of squares in sequences of absolute values of Gaussian variables

Wang¹,

Mousseau²,

Zio³

2013

Safety, Reliability and Risk Analysis

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Embracing an all-hazard view to deal with random failures, natural disasters, accidents and malevolent intentional acts, a framework for the vulnerability analysis of safety-critical systems and infrastructures is set up. A hierarchical structure is used to organise the information on the hazards, which is then manipulated through a decision-making process for vulnerability evaluation. We present the framework and its hierarchical model by way of assessing the susceptibility of a safety-critical system to intentional hazards, considering criteria of diverse nature, such as physical characteristics, social criticality characteristics, exposition to cascading failures, resilience. We use a ranking method to compare systems of different characteristics. The systematic process of analysis is presented with reference to the exemplary case of nuclear power plants.

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Section: Assessment Methodologymentioning

confidence: 99%

Section: Analytic Centermentioning

confidence: 99%

A note on the ratio of the extreme to the root of the sum of squares in sequences of absolute values of Gaussian variables

Wang¹,

Mousseau²,

Zio³

2013

Safety, Reliability and Risk Analysis

View full text Add to dashboard Cite

show abstract

“…Obviously, it is possible to conduct optimization of these differences taking advantage of other rules that have been proposed in the literature (see, e.g., Bous et al 2010;Despotis et al 1990). However, we have decided to apply a maximin rule, and search for such a function in the feasible space, which maximizes the smallest distance to any introduced constraint.…”

Section: Proposition 34 Considering Two Subsets Of Dmsmentioning

confidence: 99%

Selection of a Representative Value Function for Robust Ordinal Regression in Group Decision Making

2011

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In this paper, we introduce the concept of a representative value function in a group decision context. We extend recently proposed methods UTA GMS -GROUP and UTADIS GMS -GROUP with selection of a compromise and collective preference model which aggregates preferences of several decision makers (DMs) and represents all instances of preference models compatible with preference information elicited from DMs. The representative value function is built on results of robust ordinal regression, so its representativeness can be interpreted in terms of robustness concern. We propose a few procedures designed for multiple criteria ranking, choice, and sorting problems. The use of these procedures is conditioned by both satisfying different degrees of consistency of the preference information provided by all DMs, as well as by some properties of particular decision making situations. The representative value function is intended to help the DMs to understand the robust results, and to provide them with a compromise result in case of conflict between the DMs.

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“…Assuming an additive value function, the statement that alternative x (1) is preferred to alternative x (2) can be represented by the condition (see, e.g., [11,31]):…”

Section: Representation Of Incomplete Informationmentioning

confidence: 99%

“…This is an approach used for inferring parameters of multicriteria aggregation approaches (e.g., [2,11,21]). Let A k denote a coefficient matrix and let b k denote a righthand side vector such that (w,…”

Section: Central Parameters Approachmentioning

confidence: 99%

Mediation with Incomplete Information: Approaches to Suggest Potential Agreements

2012

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In bilateral Negotiation Analysis, the literature often considers the case of complete information. In this context, since the negotiators know the value functions of both parties, it is not difficult to calculate the Pareto efficient solutions for the negotiation. Therefore, rational negotiators can reach agreement on this frontier. However, these approaches are not applied in practice when complete information is not available. The research question of our work is "It is possible to help negotiators achieve an efficient solution in the absence of complete information regarding the different parameters of the model?". We propose to derive incomplete information about the preferences of negotiators from the statements they make and the offers they exchange during the negotiation process. We present and discuss three approaches that use this information in order to help a mediator proposing a better solution than the compromise the negotiators have reached or are close to reach.

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ACUTA: A novel method for eliciting additive value functions on the basis of holistic preference statements

Cited by 79 publications

References 14 publications

A note on the ratio of the extreme to the root of the sum of squares in sequences of absolute values of Gaussian variables

A note on the ratio of the extreme to the root of the sum of squares in sequences of absolute values of Gaussian variables

Selection of a Representative Value Function for Robust Ordinal Regression in Group Decision Making

Mediation with Incomplete Information: Approaches to Suggest Potential Agreements

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