| Title:
|
A bi-average tree solution for probabilistic communication situations with fuzzy coalition (English) |
| Author:
|
Li, Xianghui |
| Author:
|
Sun, Hao |
| Author:
|
Hou, Dongshuang |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2019 |
| Pages:
|
63-80 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
probabilistic communication situation |
| Keyword:
|
fuzzy coalition |
| Keyword:
|
average tree solution |
| Keyword:
|
maximal product spanning tree |
| MSC:
|
05C72 |
| MSC:
|
91A12 |
| idZBL:
|
Zbl 07088879 |
| idMR:
|
MR3935415 |
| DOI:
|
10.14736/kyb-2019-1-0063 |
| . |
| Date available:
|
2019-05-07T11:07:11Z |
| Last updated:
|
2020-02-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147706 |
| . |
| Reference:
|
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