Decision aid methods
The methods we have presented so far have been based on the domination relation. This relation (which we can define in various ways: Pareto domination or lexicographic domination, for example) allows us to “filter” elements of a set, and to just keep all the elements we can compare themselves. However, there exists another way to obtain a set of solutions, which is based on the setting up of an order relation between these various elements. With the order relation so defined, we can obtain a set of solutions (with a partial order relation) or one and only one solution (with a complete order relation). The other major difference, with respect to the “classical” multiobjective optimization methods, comes from the fact that the decision aid methods work only on discrete sets of points (“classical” multiobjective optimization methods can work on continuous sets). Moreover, decision aid methods allow us to answer several problems, listed in Table 6.1.
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- [Maystre et al. 94]In this book, we find a description of all the ELECTRE decision aid methods. We find, in addition to a detailed description of each method, applications of these methods to examples where each step of the method is clearly set out. This book is a reference source and all the notation we have used in this chapter comes from this book. In French.Google Scholar
- [Scharling 85]An important book for any reader who wants to be introduced to the ideas which belong to the field of decision aids. This book was written by a former scientific journalist involved in decision aids. The style of this book is appealing. It is clear, and the author succeeds in presenting all of the ideas with the minimum number of equations. A really good book. In French.Google Scholar
- [Scharlig 96]This book is a sequel to [Scharlig 85]. It describes the ELECTRE and PROMETHEE methods with the same economy of equations.Google Scholar
- [Roy at al .93]A book by the creator of the field of multicriteria decision aids. This book contains all the elements related to multicriteria decision aids and more. It has the advantage that it can be read at several levels. It is the book that people using decision aids must have.Google Scholar