TY - GEN
T1 - The credibility-based cores in games with fuzzy coalitions
AU - Ran, Lun
AU - Pang, Jinhui
AU - Bai, Pengfei
PY - 2010
Y1 - 2010
N2 - In an uncertain game environment, it is usually difficult to solve the least core because the rates of players' participation must hold for some real number which belong to [0,1]. In addition, available characteristic function sometimes cannot be accurately given either when the rates are allowed to be fuzzy variables. In this paper, fuzzy coalitions, fuzzy characteristic function and fuzzy cores are studied based on the Choquet integral and the credibility measure. A new fuzzy chance-constrained programming model is proposed for solving the least core under a predetermined confidence level, which is also a game decision procedure for generating cores converging to elements of the fuzzy core to meet different confidence level. It is shown that the least core gained by the presented model coincides with Aubin's core for a specific class of games with fuzzy coalition and reflect the influence rooted in players' preference. A numerical example is presented to show the model idea and its rational property.
AB - In an uncertain game environment, it is usually difficult to solve the least core because the rates of players' participation must hold for some real number which belong to [0,1]. In addition, available characteristic function sometimes cannot be accurately given either when the rates are allowed to be fuzzy variables. In this paper, fuzzy coalitions, fuzzy characteristic function and fuzzy cores are studied based on the Choquet integral and the credibility measure. A new fuzzy chance-constrained programming model is proposed for solving the least core under a predetermined confidence level, which is also a game decision procedure for generating cores converging to elements of the fuzzy core to meet different confidence level. It is shown that the least core gained by the presented model coincides with Aubin's core for a specific class of games with fuzzy coalition and reflect the influence rooted in players' preference. A numerical example is presented to show the model idea and its rational property.
KW - Fuzzy chanceconstrained programming
KW - Fuzzy characteristic function
KW - Fuzzy coalition
KW - The credibility measure
UR - http://www.scopus.com/inward/record.url?scp=77953035928&partnerID=8YFLogxK
U2 - 10.1109/ICLSIM.2010.5461390
DO - 10.1109/ICLSIM.2010.5461390
M3 - Conference contribution
AN - SCOPUS:77953035928
SN - 9781424473311
T3 - 2010 International Conference on Logistics Systems and Intelligent Management, ICLSIM 2010
SP - 416
EP - 420
BT - 2010 International Conference on Logistics Systems and Intelligent Management, ICLSIM 2010
T2 - 2010 International Conference on Logistics Systems and Intelligent Management, ICLSIM 2010
Y2 - 9 January 2010 through 10 January 2010
ER -