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基于自反演序字典序的构造

The Construction of Lexicographic Ordering Based on Self Reflexive Signed Orders

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【作者】 罗云峰岳超源

【Author】 Luo Yunfeng Inst. of Syst. Eng., HUST, Wuhan 430074, China. Yue Chaoyuan Chen Ting

【机构】 华中理工大学系统工程研究所

【摘要】 研究了合理字典序的构造问题.基于一般字典序构造中存在的困难,以Fishburn提出的自反演序(X∪X*,1)为基础,构造了满足Fishburn单调性扩张的完备的字典序L.

【Abstract】 The extension of an order on a set to the power set happens quite frequently in social selection theory and value theory. An axiomatic treatment of this topic is carried out by the authors and a lexicographic ordering satisfying Fishburn Monotone Extension based on his self reflexive signed order ( X∪X * ,  1) is constructed. It is shown that the ordering is reflexive, complete and transitive, or it is a weak ordering.

【基金】 国家自然科学基金
  • 【文献出处】 华中理工大学学报 ,JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,1996年S2期
  • 【分类号】H06
  • 【下载频次】30
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