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Kybernetika 39(5):631-642, 2003.

A General Approach to Decomposable Bi-capacities.

Susanne Saminger and Radko Mesiar


Abstract:

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.


Keywords: bi-capacity; cumulative prospect theory; decomposable capacity; uninorm;


AMS: 28E05; 28C99; 03H05;


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BIB TeX

@article{kyb:2003:5:631-642,

author = {Saminger, Susanne and Mesiar, Radko },

title = {A General Approach to Decomposable Bi-capacities.},

journal = {Kybernetika},

volume = {39},

year = {2003},

number = {5},

pages = {631-642}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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