The computation of hitting sets: Review and new algorithms

被引:26
作者
Lin, L [1 ]
Jiang, YF
机构
[1] Jinan Univ, Dept Math, Guangzhou 510632, Peoples R China
[2] Sun Yat Sen Univ, Inst Comp Software, Guangzhou 510275, Peoples R China
基金
美国国家科学基金会;
关键词
model-based diagnosis; set cluster; hitting set; BHS-tree; Boolean algebraic algorithms; algorithms;
D O I
10.1016/S0020-0190(02)00506-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In model-based diagnosis or other research fields, the hitting sets of a set cluster are usually used. In this paper we introduce some algorithms, including the new BHS-tree and Boolean algebraic algorithms. In the BHS-tree algorithm, a binary-tree is used for the computation of hitting sets, and in the Boolean algebraic algorithm, components are represented by Boolean variables. It runs just for one time to catch the minimal hitting sets. We implemented the algorithms and present empirical results in order to show their superiority over other algorithms for computing hitting sets. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:177 / 184
页数:8
相关论文
共 9 条
[1]   A CORRECTION TO THE ALGORITHM IN REITERS THEORY OF DIAGNOSIS [J].
GREINER, R ;
SMITH, BA ;
WILKERSON, RW .
ARTIFICIAL INTELLIGENCE, 1989, 41 (01) :79-88
[2]  
HAENNI R, 1997, GENERATING DIAGNOSIS
[3]   A THEORY OF MEASUREMENT IN DIAGNOSIS FROM 1ST PRINCIPLES [J].
HOU, AM .
ARTIFICIAL INTELLIGENCE, 1994, 65 (02) :281-328
[4]  
JIANG YF, IN PRESS J SOFTWARE
[5]  
KOLMAN B, 1997, DISCRETE MATH STRUCT, P250
[6]   DIAGNOSTIC EXPERT SYSTEMS BASED ON A SET COVERING MODEL [J].
REGGIA, JA ;
NAU, DS ;
WANG, PY .
INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1983, 19 (05) :437-460
[7]   A THEORY OF DIAGNOSIS FROM 1ST PRINCIPLES [J].
REITER, R .
ARTIFICIAL INTELLIGENCE, 1987, 32 (01) :57-95
[8]   Minimal approximate hitting sets and rule templates [J].
Vinterbo, S ;
Ohrn, A .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2000, 25 (02) :123-143
[9]   A variant of Reiter's hitting-set algorithm [J].
Wotawa, F .
INFORMATION PROCESSING LETTERS, 2001, 79 (01) :45-51