A general approach to decomposable bi-capacities

Susanne Saminger; Radko Mesiar

Kybernetika (2003)

  • Volume: 39, Issue: 5, page [631]-642
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Saminger, Susanne, and Mesiar, Radko. "A general approach to decomposable bi-capacities." Kybernetika 39.5 (2003): [631]-642. <http://eudml.org/doc/33670>.

@article{Saminger2003,
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.},
author = {Saminger, Susanne, Mesiar, Radko},
journal = {Kybernetika},
keywords = {bi-capacity; cumulative prospect theory; decomposable capacity; uninorm; bi-capacity; cumulative prospect theory; decomposable capacity; uninorm},
language = {eng},
number = {5},
pages = {[631]-642},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A general approach to decomposable bi-capacities},
url = {http://eudml.org/doc/33670},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Saminger, Susanne
AU - Mesiar, Radko
TI - A general approach to decomposable bi-capacities
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 5
SP - [631]
EP - 642
AB - 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.
LA - eng
KW - bi-capacity; cumulative prospect theory; decomposable capacity; uninorm; bi-capacity; cumulative prospect theory; decomposable capacity; uninorm
UR - http://eudml.org/doc/33670
ER -

References

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