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CP-nets的可满足性序列求解算法研究 被引量:2

Research on Algorithm of Satisfiability Ranking Generation for CP-nets
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摘要 CP-nets是一种简单、直观的图形化偏好表示工具,成为近几年人工智能的一个研究热点。然而对于CP-nets的基础性质——可满足性序列的研究却较少。通过构造CP-nets导出图,利用改进的图的深度优先遍历算法实现二值网的强占优测试,对强占优测试得到的可达矩阵进行分析,得出任意结构CP-nets的可满足性序列个数关系;给出了生成全部可满足性序列的算法;强化和扩充了CP-nets的基本概念,深化了CP-nets的基础理论研究。 CP-nets(condition preference networks) is a simple and intuitive graphical tool for representing conditional ceteris paribus preference statements over the values of a set of variables, and it has been a studying hotspot in artificial intelligence recently. The satisfiability ranking of CP-nets is studied. By constructing induced graph of CP-nets and solving the strong dominance testing with respect to binary-valued CP-nets, the number of satisfiability ranking was derived. And the algorithm of generating all satisfiability rankings was designed by analyzing the reachability matrix acquired from strong dominance testing. What's more, the syntax, semantics and some definitions were collated and introduced.
出处 《计算机科学》 CSCD 北大核心 2015年第5期270-273,285,共5页 Computer Science
基金 山东省高等学校科技计划项目(J14LN23) 山东省自然科学基金(ZR2014FL009 ZR2013FM011) 山东省自然科学基金青年项目(ZR2013FQ023)资助
关键词 条件偏好网(CP-nets) 条件偏好表(CPT) CP-nets导出图 强占优测试 偏好的可满足性 可满足性序列 Condition preference networks, Condition preference table, Induced graph of CP-nets, Strong dominance testing, Preferences satisfiability, Satisfiability ranking
作者简介 孙雪姣(1979-),女,硕士,讲师,主要研究方向为网络搜索技术、约束满足问题求解,E-mail:sunxuejia06@tom.com; 刘惊雷(1970-),男,博士生,副教授,主要研究方向为程序理论和计算方法。
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参考文献15

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二级参考文献27

  • 1张志政,邢汉承,王蓁蓁,倪庆剑.一种基于多类型偏好的偏好逻辑[J].软件学报,2007,18(11):2728-2739. 被引量:4
  • 2Boutilier C,Brafman R,Domshlak C. CP-nets:a tool for representing and reasoning with conditional ceteris paribus statements[J].Journal of Artificial Intelligence Research,2004.135-191.
  • 3Brafman R,Domshlak C. Preference Handling--An Introductory Tutorial[J].AI Magazine,2009,(01):58-86.
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  • 5Brafman R,Domshlak C,Shimony E. On graphical modeling of preference and importance[J].Journal of Artificial Intelligence Research,2006.389-424.
  • 6Bouveret S,Endriss U,Lang J. Conditional Importance Networks:A Graphical Language for Representing Ordinal,Monotonic Preferences over Sets of Goods[A].San Francisco,USA:Morgan Kaufmann Publishers,2009.67-72.
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  • 8Sun Xue-jiao,Liu Jing-lei. Representation and Realization of Binary-valued CP-nets in Single-Branch Tree[A].Yantai,China:IEEE,2010.1908-1911.
  • 9Sun Xue-jiao,Liu Jing-lei. Representation and Realization of Binary-valued CP-nets in Directed Tree[A].Yantai,China:IEEE,2010.2941-2944.
  • 10陈守孔;孟佳娜;武秀川.算法与数据结构(第2版)[M]北京:机械工业出版社,2008128-147.

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