Title :
Equivalent representations of a set function with application to decision making
Author :
Grabisch, Michel ; Roubens, Miarc
Author_Institution :
Central Res. Lab., Thomson-CSF, Orsay, France
Abstract :
This paper introduces three alternative representations of a set function: the Mobius transformation and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the four equivalent representations of a set function are emphasized in this paper
Keywords :
decision theory; fractals; fuzzy set theory; game theory; management science; Banzhaf value; Mobius transformation; Shapley value; cardinality transformations; cooperative game theory; decision making; fractal; fuzzy measure; set function; Decision making; Fractals; Game theory; Laboratories; Mathematics; Utility theory;
Conference_Titel :
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
0-7803-3796-4
DOI :
10.1109/FUZZY.1997.619460
