The Shapley Values on Fuzzy Coalition Games with Concave Integral Form
Joint Authors
Chen, Xiang
Pang, Jinhui
Li, Shujin
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-27
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A generalized form of a cooperative game with fuzzy coalition variables is proposed.
The character function of the new game is described by the Concave integral, which allows players to assign their preferred expected values only to some coalitions.
It is shown that the new game will degenerate into the Tsurumi fuzzy game when it is convex.
The Shapley values of the proposed game have been investigated in detail and their simple calculation formula is given by a linear aggregation of the Shapley values on subdecompositions crisp coalitions.
American Psychological Association (APA)
Pang, Jinhui& Chen, Xiang& Li, Shujin. 2014. The Shapley Values on Fuzzy Coalition Games with Concave Integral Form. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-455798
Modern Language Association (MLA)
Pang, Jinhui…[et al.]. The Shapley Values on Fuzzy Coalition Games with Concave Integral Form. Journal of Applied Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-455798
American Medical Association (AMA)
Pang, Jinhui& Chen, Xiang& Li, Shujin. The Shapley Values on Fuzzy Coalition Games with Concave Integral Form. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-455798
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455798