A bi-average tree solution for probabilistic communication situations with fuzzy coalition
Xianghui Li; Hao Sun; Dongshuang Hou
Kybernetika (2019)
- Volume: 55, Issue: 1, page 63-80
- ISSN: 0023-5954
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topLi, Xianghui, Sun, Hao, and Hou, Dongshuang. "A bi-average tree solution for probabilistic communication situations with fuzzy coalition." Kybernetika 55.1 (2019): 63-80. <http://eudml.org/doc/294521>.
@article{Li2019,
abstract = {A probabilistic communication structure considers the setting with communication restrictions in which each pair of players has a probability to communicate directly. In this paper, we consider a more general framework, called a probabilistic communication structure with fuzzy coalition, that allows any player to have a participation degree to cooperate within a coalition. A maximal product spanning tree, indicating a way of the greatest possibility to communicate among the players, is introduced where the unique path from one player to another is optimal. We present a feasible procedure to find the maximal product spanning trees. Furthermore, for games under this model, a new solution concept in terms of the average tree solution is proposed and axiomatized by defining a restricted game in Choquet integral form.},
author = {Li, Xianghui, Sun, Hao, Hou, Dongshuang},
journal = {Kybernetika},
keywords = {probabilistic communication situation; fuzzy coalition; average tree solution; maximal product spanning tree},
language = {eng},
number = {1},
pages = {63-80},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A bi-average tree solution for probabilistic communication situations with fuzzy coalition},
url = {http://eudml.org/doc/294521},
volume = {55},
year = {2019},
}
TY - JOUR
AU - Li, Xianghui
AU - Sun, Hao
AU - Hou, Dongshuang
TI - A bi-average tree solution for probabilistic communication situations with fuzzy coalition
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 1
SP - 63
EP - 80
AB - A probabilistic communication structure considers the setting with communication restrictions in which each pair of players has a probability to communicate directly. In this paper, we consider a more general framework, called a probabilistic communication structure with fuzzy coalition, that allows any player to have a participation degree to cooperate within a coalition. A maximal product spanning tree, indicating a way of the greatest possibility to communicate among the players, is introduced where the unique path from one player to another is optimal. We present a feasible procedure to find the maximal product spanning trees. Furthermore, for games under this model, a new solution concept in terms of the average tree solution is proposed and axiomatized by defining a restricted game in Choquet integral form.
LA - eng
KW - probabilistic communication situation; fuzzy coalition; average tree solution; maximal product spanning tree
UR - http://eudml.org/doc/294521
ER -
References
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