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A promethee ii-belief approach for multi-criteria decision-making problems with incomplete information

100%
Frikha H. M., Frikha A.
Multiple Criteria Decision Making
|
2021
|
vol. 16
60-88
XX
Multi-criteria decision aid methods consider decision problems in which many alternatives are evaluated on several criteria. These methods are used to deal with perfect information. However, in practice, it is obvious that this information requirement is too strict. In fact, the imperfect data provided by more or less reliable decision makers usually affect decision results, since any decision is closely linked to the quality and availability of information. In this paper, a PROMETHEE II-BELIEF approach is proposed to help multi-criteria decisions based on incomplete information. This approach solves problems with incomplete decision matrix and unknown weights within PROMETHEE II method. On the basis of belief function theory, our approach first determines the distributions of belief masses based on PROMETHEE II’s net flows, and then calculates weights. Subsequently, it aggregates the distribution masses associated with each criterion using Murphy’s modified combination rule in order to infer a global belief structure. The final alternative ranking is obtained via pignistic probability transformation. A case study of a real-world application concerning the location of a treatment center of waste from healthcare activities with infectious risk in the center of Tunisia is studied to illustrate the detailed process of the PROMETHEE II-BELIEF approach.
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Optimal Selection From a Set of Offers Using a Short List

75%
Ramsey D. M.
Multiple Criteria Decision Making
|
2019
|
vol. 14
75-92
EN
The rise of the Internet has led to a huge amount of information being available at the touch of a button. This article presents a model of searching for a valuable good, e.g. a new flat, using the Internet to gain initial information about the offers available. This information is used to create a short list of offers to be observed more closely before making a final decision. Although there has been a lot of recent work on the use of short lists in decision making procedures, there has been very little work on how the length of a short list should depend on the parameters of the search problem. This article addresses this problem and gives results on the optimal length of a short list when a searcher is to choose one of n offers and the search costs are convex in the length of the short list. Several examples are considered.
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