Geodesic
A general approach to decomposable bi-capacities
Kybernetika, Tome 39 (2003) no. 5, p. [631]

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We propose a concept of decomposable bi-capacities based on an analogous property of decomposable capacities, namely the valuation property. We will show that our approach extends the already existing concepts of decomposable bi-capacities. We briefly discuss additive and $k$-additive bi-capacities based on our definition of decomposability. Finally we provide examples of decomposable bi-capacities in our sense in order to show how they can be constructed.
Classification : 03E72, 03H05, 28C99, 28E05, 68T37
Keywords: bi-capacity; cumulative prospect theory; decomposable capacity; uninorm 
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     author = {Saminger, Susanne and Mesiar, Radko},
     title = {A general approach to decomposable bi-capacities},
     journal = {Kybernetika},
     pages = {[631]},
     publisher = {mathdoc},
     volume = {39},
     number = {5},
     year = {2003},
     mrnumber = {2042345},
     zbl = {1249.28022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003__39_5_a9/}
}
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Saminger, Susanne; Mesiar, Radko. A general approach to decomposable bi-capacities. Kybernetika, Tome 39 (2003) no. 5, p. [631]. http://geodesic.mathdoc.fr/item/KYB_2003__39_5_a9/