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The sufficient and necessary condition of the major stochastic preference rule in group decision making

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Abstract

Group decision making problem with stochastic preference is investigated. The authors present four rational conditions for testing group stochastic preference rule, and prove that the combination of these four rational conditions is the sufficient and necessary condition of major stochastic preference rule for group stochastic preference rule.

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Correspondence to Zhenjie Hong.

Additional information

This research was supported by the research project of City College of Wenzhou University under Grant No. kyzd200901, Innovation Research Projects for Graduate student of Zhejiang Province under Grant No. YK2010093, and Scientific Research Projects of Education Department of Zhejiang Province under Grant No. 20070534.

This paper was recommended for publication by Editor Xijin TANG.

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Ye, F., Dong, N., Li, J. et al. The sufficient and necessary condition of the major stochastic preference rule in group decision making. J Syst Sci Complex 25, 942–949 (2012). https://doi.org/10.1007/s11424-012-0258-3

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  • DOI: https://doi.org/10.1007/s11424-012-0258-3

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