26.pdf - MULTICRITERIA DECISION MAKING Prof D...

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MULTICRITERIA DECISION MAKING MULTICRITERIA DECISION MAKING Prof. D. Giannakopoulos TEI of Piraeus
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OUTLINE OUTLINE circle5 Introduction circle5 Multi-criteria modeling & notation circle5 Consequences of actions and elaboration of criteria circle5 A real world application: Highway Planning circle5 Exercise by groups circle5 Development of a global preference model 2 MCDA Seminar, Chania 01/10/2008
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THE MULTICRITERIA ANALYSIS PHILOSOPHY THE MULTICRITERIA ANALYSIS PHILOSOPHY 1. A set of methods or models enabling the aggregation of multiple evaluation criteria to choose one or more actions from a set A. 2. An activity of decision-aid to a well-defined decision-maker. 3 MCDA Seminar, Chania 01/10/2008
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A GENERAL MODELING METHODOLOGY A GENERAL MODELING METHODOLOGY (ROY, 1985) (ROY, 1985) circle5 Level 1 : Object of the decision, including the definition of the set of potential actions A and the determination of a problematic on A. circle5 Level 2 : Modeling of a consistent family of criteria assuming that these criteria are non-decreasing value functions, exhaustive and non-redundant. circle5 Level 3 : Development of a global preference model, to aggregate the marginal preferences on the criteria. circle5 Level 4 : Decision-aid or decision support, based on the results of level 3 and the problematic of level 1. 4 MCDA Seminar, Chania 01/10/2008
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THE FOUR PROBLEMATICS IN MCDA THE FOUR PROBLEMATICS IN MCDA circle5 Problematic α : Choosing one action from A (choice). circle5 Problematic β : Sorting the actions into pre-defined and preference-ordered categories (sorting). circle5 Problematic γ : Ranking the actions from the best one to the worst one (ranking). circle5 Problematic δ : Describing the actions in terms of their performances on the criteria (description). 5 MCDA Seminar, Chania 01/10/2008
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MCDA Seminar, Chania 01/10/2008 6 CRITERIA MODELING PROCESS CRITERIA MODELING PROCESS ( (Definitions) Elementary consequence of an action a is named each attribute that relates with this action a and has the following two characteristics: - is sufficiently determined as for the content in order that various people involved conceive her importance (*) - allows the description of some concrete result which follows the choice of action a (**) Cloud of elementary consequences of an action ν (a) (fr. nuage des conséquences élémentaires) is the total of the elementary consequences of a A . Cloud of elementary consequences of Α , ν ( Α ) is the total of all the elementary consequences of the action of A: (*) the price of a product is a well defined (?) attribute for aconsumer …. (**) and means that the consumer, in order to bye this product, must not only dispose the money but also accept the reduction of his budget = U (A) (α) a A v v
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CRITERIA MODELING PROCESS(Definitions) CRITERIA MODELING PROCESS(Definitions) circle5 Point of view or axis of preference (fr. point de vue) is the total of elementary consequences that are reported in the same objective or the same point of view via which will be evaluated and compared the actions. An axis of preference may be the price or the quality of a product.
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