基于自反演序字典序的构造

The Construction of Lexicographic Ordering Based on Self Reflexive Signed Orders

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．

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.