An Alternative View of Importance Indices for Multichoice Games
| Autor: | Mustapha Ridaoui, Christophe Labreuche, Michel Grabisch |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Computer Science::Computer Science and Game Theory
021103 operations research Interpretation (logic) Index (economics) Computer science Management science 0211 other engineering and technologies 02 engineering and technology Cooperative game theory Multiple-criteria decision analysis Shapley value Fuzzy logic 0202 electrical engineering electronic engineering information engineering Feature (machine learning) 020201 artificial intelligence & image processing Mathematical economics Axiom |
| Zdroj: | Algorithmic Decision Theory ISBN: 9783319675039 ADT |
| DOI: | 10.1007/978-3-319-67504-6_6 |
| Popis: | We consider MultiCriteria Decision Analysis (MCDA) models where the underlying attributes are discrete. Without any additional feature, such general models are equivalent to multichoice games in cooperative game theory. Our aim is to define an importance index for attributes. In specific models based on capacities, fuzzy measures, the Shapley value is often taken as an importance index. We show that in our general framework, taking the Shapley value extended to multichoice games is not meaningful, due to the efficiency axiom which has no natural interpretation in MCDA. We propose instead an importance index based on variational calculus and give an axiomatization of it. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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