Operations Research Transactions ›› 2014, Vol. 18 ›› Issue (4): 78-84.

• Original Articles • Previous Articles     Next Articles

Necessary and sufficient conditions for majority satisfaction preference rule

HU Yuda1,*   

  1. 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
  • Received:2014-03-10 Online:2014-12-15 Published:2014-12-15

Abstract: This paper studies a basic mathematical theoretic problem of group decision making based on satisfaction choice. We prove that necessary and sufficient conditions for any group satisfaction preference mapping are majority satisfaction preference rule of the group on alternative set.

Key words: group decision making, satisfaction criterion, preference relation, majority satisfaction preference rule, necessary and sufficient conditions

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