Geodesic
A bi-average tree solution for probabilistic communication situations with fuzzy coalition
Kybernetika, Tome 55 (2019) no. 1, pp. 63-80.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.14736/kyb-2019-1-0063
Classification : 05C72, 91A12
Keywords: probabilistic communication situation; fuzzy coalition; average tree solution; maximal product spanning tree 
@article{10_14736_kyb_2019_1_0063,
     author = {Li, Xianghui and Sun, Hao and Hou, Dongshuang},
     title = {A bi-average tree solution for probabilistic communication situations with fuzzy coalition},
     journal = {Kybernetika},
     pages = {63--80},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2019},
     doi = {10.14736/kyb-2019-1-0063},
     mrnumber = {3935415},
     zbl = {07088879},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0063/}
}
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
SP  - 63
EP  - 80
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0063/
DO  - 10.14736/kyb-2019-1-0063
LA  - en
ID  - 10_14736_kyb_2019_1_0063
ER  - 
%0 Journal Article
%A Li, Xianghui
%A Sun, Hao
%A Hou, Dongshuang
%T A bi-average tree solution for probabilistic communication situations with fuzzy coalition
%J Kybernetika
%D 2019
%P 63-80
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0063/
%R 10.14736/kyb-2019-1-0063
%G en
%F 10_14736_kyb_2019_1_0063
Li, Xianghui; Sun, Hao; Hou, Dongshuang. A bi-average tree solution for probabilistic communication situations with fuzzy coalition. Kybernetika, Tome 55 (2019) no. 1, pp. 63-80. doi : 10.14736/kyb-2019-1-0063. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0063/

Cité par Sources :