计算机科学 ›› 2018, Vol. 45 ›› Issue (6): 211-215.doi: 10.11896/j.issn.1002-137X.2018.06.038
刘惊雷1,2, 廖士中1
LIU Jing-lei1,2, LIAO Shi-zhong1
摘要: CP-nets是一种简单且直观的图形化偏好表示工具,其表示、推理和学习是3个基本问题。不同于基于统计学习理论的研究方法,文中基于逻辑理论来研究二值CP-nets的学习问题。首先,建立命题公式的可满足性和CP-nets表示的偏好公式之间的联系,将CP-nets的学习问题转化为命题的推理问题。随后,给出两类具有特殊结构的CP-nets的学习问题的计算复杂度,其中最复杂的无环CP-nets上的学习问题是NP-complete,而最简单的集合结构CP-nets上的学习问题是P。这些结论给出了CP-nets(如链结构、有界树宽)学习问题复杂度的上下界。
中图分类号:
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