# 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 -

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