Abstract
In fuzzy Multi-criteria decision-making problems, the ranking of alternatives must take into account their fuzzy scores in all criteria, the weights assigned to each decision criterion, the possible difficulties of comparing two alternatives when one is significantly better than the other on a subset of criteria, but much worse on at least one criterion from the complementary subset of criteria, and the decision maker’s attitude towards the risk associated with evaluation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Shing D, Tiong RLK (2005) A fuzzy decision framework for contractor selection. J Constr Eng M ASCE 131(1):62–70
Shapley LS (1953) A value for n-person games contribution to the theory of games. In: Kuhn HW, Tucker AW (eds) Annals of mathematics studies. vol II. Princeton University Press, Princeton, pp 307–317
Hwang CL, Yoon K (1981) Multiple attribute decision making: methods and applications. Springer, New York
Kaufmann A, Gupta MM (1988) Fuzzy mathematical models in engineering and management science. North-Holland, Amsterdam
Krus L, Bronisz P (2000) Cooperative game solution concepts to a cost allocation problem. Eur J Oper Res 122(2):258–271
Wang L, Fang L, Hipel KW (2008) Basin-wide coperative water resources allocation. Eur J Oper Res 3(1):798–817
Sant’Anna LA, Sant’Anna AP (2008) A probabilistic approach to evaluate the exploitation of the gepgraphic situation of hydroelectric plants. Energ Policy 36(7):2320–2329
Albretch J, Francois D, Schoors K (2002) A Shapley decomposition of carbon emissions without residulas. Energ Policy 30:727–736
Ang BW, Liu FL, Chew EP (2003) Perfect decomposition techniques in energy and environmental analysis. Energ Policy 31:1561–1566
Wu JH, Chen YY, Huang YH (2007) Trade pattern change impact on industrial \(\hbox{CO}_2\) emissions in Taiwan. Energ Policy 35(11):5436–5446
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag London Limited
About this chapter
Cite this chapter
Mateo, J.R.S.C. (2012). The Shapley Value. In: Multi Criteria Analysis in the Renewable Energy Industry. Green Energy and Technology. Springer, London. https://doi.org/10.1007/978-1-4471-2346-0_13
Download citation
DOI: https://doi.org/10.1007/978-1-4471-2346-0_13
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2345-3
Online ISBN: 978-1-4471-2346-0
eBook Packages: EngineeringEngineering (R0)