Title: Cooperative fuzzy games on augmenting systems

Authors: Fan-Yong Meng; Qiang Zhang; Feng Liu

Addresses: School of Management, Qingdao Technological University, Qingdao 266520, China ' School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China ' Department of Information Management, The Central Institute for Correctional Police, Baoding 071000, China

Abstract: In this paper, a generalised form of fuzzy games on augmenting systems is introduced, which can be seen as an extension of crisp case. The Shapley value for fuzzy games on augmenting systems is given. An axiomatic system of the given Shapley value is studied, and some properties are discussed. Meantime, we further research two special cases of fuzzy games on augmenting systems. The Shapley value and the core of these two kinds of fuzzy games on augmenting systems are introduced.

Keywords: cooperative fuzzy games; Shapley value; core; augmenting systems; computational science; cooperative games; precedence constraints.

DOI: 10.1504/IJCSE.2015.067048

International Journal of Computational Science and Engineering, 2015 Vol.10 No.1/2, pp.210 - 219

Received: 15 Dec 2011
Accepted: 03 Jul 2012
Published online: 25 Jan 2015 *

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