The Shapley value for fuzzy bi-cooperative games

DOI

10.2991/iske.2007.224How to use a DOI?

Keywords

Cooperative game; Fuzzy cooperative game; Bi-capacity;Shapley value; Choquet integral

Abstract

In this article,we investigated a Shapley function on the class of crisp bi-cooperative games Firstly, we redefine bi-cooperative games axiom which was introduced by Grabisch and proposed the Shapley function that satisfies the four axioms. Then, the concepts related to a Shapley function have been extended to the case of fuzzy bi-cooperative games by choquet integral. Similarly, we define the four fuzzy Shapley axioms which correspond to four axioms crisp bi-cooperative Shapley, respectively. Finally, for the purpose of bridging the results to a real world problem, we gave a concrete example

Copyright

© 2007, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Xiaohui Yu
AU  - Qiang Zhang
PY  - 2007/10
DA  - 2007/10
TI  - The Shapley value for fuzzy bi-cooperative games
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1317
EP  - 1324
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.224
DO  - 10.2991/iske.2007.224
ID  - Yu2007/10
ER  -