A Link Between the 2-additive Choquet Integral and Belief Functions

نویسندگان

  • Brice Mayag
  • Michel Grabisch
  • Christophe Labreuche
چکیده

In the context of decision under uncertainty, we characterize the 2-additive Choquet integral on the set of fictitious acts called binary alternatives or binary actions. This characterization is based on a fundamental property called MOPI which permits us to relate belief functions and the 2additive Choquet integral. Keywords—Capacity, Möbius transform, Choquet integral, k-monotone function, Belief function, Decision under uncertainty

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تاریخ انتشار 2009