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A generalized pignistic transformation is then proposed in chapter 7 based on DSmT. 30 CHAPTER 1. 2: Block Scheme of the principle for the DSm fusion The introduction of a specific integrity constraint in step 2 is like pushing an elevator button for going a bit up in the complexity of the processing for managing uncertainty and conflict through the hybrid DSm rule of combination. If one needs to go to a higher level, then one can take into account several integrity constraints as well in the framework of DSmT.

3. Decision-Making: Once the combination is obtained after step 1 (or step 2 when necessary), the Decision-making step follows. ). A generalized pignistic transformation is then proposed in chapter 7 based on DSmT. 30 CHAPTER 1. 2: Block Scheme of the principle for the DSm fusion The introduction of a specific integrity constraint in step 2 is like pushing an elevator button for going a bit up in the complexity of the processing for managing uncertainty and conflict through the hybrid DSm rule of combination.

Both Yager’s and Smets’ results are less specific than the result obtained with the hybrid DSm rule. There is a loss of information somehow when using Yager’s or Smets’ rules. 5 Fifth example Suppose one extends Dubois & Prade’s rule from the power set 2Θ to the hyper-power set DΘ . ) term is missing): a) at least one singleton is empty and the element of its column are all non zero b) at least an union of singletons is empty and elements of its column are all non zero c) or at least an intersection is empty and the elements of its column are non zero 28 CHAPTER 1.

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