Cooperative Fuzzy Games with a Coalition Structure and Interval Payoffs

DOI

10.1080/18756891.2013.795395How to use a DOI?

Keywords

Cooperative fuzzy game, Coalition structure, Interval Owen value, Extension Hukuhara difference

Abstract

Based on the extension Hukuhara difference between interval numbers, a generalized form of cooperative fuzzy games with a coalition structure and interval payoffs is proposed, which can be seen as an extension of crisp case. The interval Owen value for this kind of fuzzy games is studied, and its explicit form is given. When the fuzzy games are convex, the proposed interval Owen value is an interval population monotonic allocation function (IPMAF), and belongs to the associated core. Furthermore, we discuss a special kind of fuzzy games with a coalition structure and interval payoffs, and study the interval Owen value and the core of it. Some properties are also examined, which are coincided with the crisp case.

Copyright

© 2017, 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/).

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TY  - JOUR
AU  - Fanyong Meng
AU  - Qiang Zhang
AU  - Yan Wang
PY  - 2013
DA  - 2013/05/01
TI  - Cooperative Fuzzy Games with a Coalition Structure and Interval Payoffs
JO  - International Journal of Computational Intelligence Systems
SP  - 548
EP  - 558
VL  - 6
IS  - 3
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.795395
DO  - 10.1080/18756891.2013.795395
ID  - Meng2013
ER  -