A bi-average tree solution for probabilistic communication situations with fuzzy coalition

Title:

A bi-average tree solution for probabilistic communication situations with fuzzy coalition

Creator:

Li, Xianghui , Sun , Hao , and Hou, Dongshuang

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1d319f2b-919f-4a7c-b021-0be732536a08
uuid:1d319f2b-919f-4a7c-b021-0be732536a08
doi:10.14736/kyb-2019-1-0063

Subject:

fuzzy coalition, probabilistic communication situation, average tree solution, and maximal product spanning tree

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2019 Volume:55 | Number:1

Harvested from:

CDK

Metadata only:

false