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Abstract
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Article Information:
The Banzhaf Value for Fuzzy Games with a Coalition Structure
Fanyong Meng and Dong Tian
Corresponding Author: Fanyong Meng
Submitted: October 15, 2011
Accepted: November 18, 2011
Published: April 15, 2012 |
Abstract:
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In this study, a general case of fuzzy games with a coalition structure is studied, where the player
can participate in different unions. The expression of the Banzhaf value for this kind of fuzzy games is given,
and its existence and uniqueness is shown. In order to better understand the Banzhaf value for this kind of fuzzy
games, we discuss two special cases. The Banzhaf values on the associated fuzzy games are researched.
Furthermore, some properties are studied. Finally, a numerical example is given.
Key words: Banzhaf value, choquet integral, fuzzy game, multilinear extension, , ,
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Abstract
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Cite this Reference:
Fanyong Meng and Dong Tian, . The Banzhaf Value for Fuzzy Games with a Coalition Structure. Research Journal of Applied Sciences, Engineering and Technology, (08): 919-928.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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