中文

Operations Research Transactions ›› 2015, Vol. 19 ›› Issue (3): 8-17.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.002

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Maximal and minimal probabilities of the majority satisfaction jury theorem

QIN Zhilin1, YU Liying2,*   

  1. 1.Basic Course Department of Nantong Vocational University, Nantong 226007, Jiangsu, China; 2.School of Management, Shanghai University, Shanghai 200444, China
  • Received:2015-03-16 Online:2015-09-15 Published:2015-09-15

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Abstract:

This paper proves that when the probabilities of individuals in the group correctly judging satisfaction of alternatives are more dispersed that corresponding to the group using the majority satisfactory rule will have a higher probability. According to this result, we get the expressions of maximal probability and minimal probability of the group determined by majority satisfaction jury theorem on average probability of all individuals correctly judging satisfaction of alternatives has same.

Key words: group decision making, satisfaction criterion, majority satisfactory rule, majority satisfaction jury theorem