节点文献
基于自反演序字典序的构造
The Construction of Lexicographic Ordering Based on Self Reflexive Signed Orders
【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.
【关键词】 字典序;
自反演序;
单调性扩张;
【Key words】 lexicographic ordering; self reflexive signed order; monotone extension;
【Key words】 lexicographic ordering; self reflexive signed order; monotone extension;
【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