Elicitation of 2-additive bi-capacity parameters

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• 作者：Antoine Rolland ; Julien Ah-Pine ; Brice Mayag
• 关键词：2 ; Additive bi ; capacity identification ; Bipolar Choquet integral ; Preference elicitation
• 刊名：EURO Journal on Decision Processes
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：3
• 期：1-2
• 页码：5-28
• 全文大小：496 KB
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• 作者单位：Antoine Rolland (1)
  Julien Ah-Pine (1)
  Brice Mayag (2)
  
  1. ERIC Lab, University of Lyon 2, Bron, France
  2. LAMSADE, University Paris-Dauphine, Paris, France
  
• 刊物主题：Operations Research/Decision Theory; Organization/Planning; Operations Research, Management Science; Optimization;
• 出版者：Springer Berlin Heidelberg
• ISSN：2193-9446

文摘

In some multi-criteria decision-making problems, it is more convenient to express the decision maker (DM) preferences in bipolar scales. In such cases, the bipolar Choquet integral with respect to bi-capacities was introduced as a versatile tool to model these kind of preferences. However, this aggregation function is useful in practice only if its parameters can be set up easily. To this end, elicitation techniques aim at finding the parameters values that best fit some given examples. In this paper, we address the problem of eliciting a bipolar Choquet integral with respect to a 2-additive bi-capacity. We present several techniques based on solving an optimization problem, taking into account the possible interaction, or not, with the DM. We deal with possible inconsistencies in the observed preferences and we also discuss the parsimonious character of the different models to favor simple models when several solutions exist.