摘要
S-粗集赋予了传统粗集动态特性,但未给出其动态的程度,而这一点往往是实际问题中需要考虑的。针对这一问题,文中给出了一类S-粗集——双向对等S-粗集,给出了其定义及相关性质。双向对等S-粗集不仅具有S-粗集的动态特性,而且充分考虑了其动态的度。使得传统S-粗集在具有动态特性的条件下,集合中元素的数量属性保持不变,即元素迁移前后集合基数相同,从而使S-粗集兼具动态与静态两种属性。最后,给出了双向对等S-粗集的产生背景和在系统决策中的一个应用实例。结果表明了该方法的有效性。
S - rough added dynamic characteristic to classical rough sets, but didn＇t present the degree of dynamic. The latter is important to some applications. To the question, this paper presents the concepts of special singular - rough sets named both - direction - equipotent S - rough sets and discusses corresponding properties. Under the condition of adding dynamic characteristic to classical rough sets, both - direction - equipotent S - rough sets preserve the cardinal number of the sets. So Both - direction - equipotent S - rough sets have both dynamic and static characteristic. Finally, an example using both - direction - equipotent S - rough sets is presented. The example shows that the method is effective.
出处
《计算机仿真》
CSCD
2007年第4期64-65,103,共3页
Computer Simulation
基金
山东省自然科学基金(2004ZX13)
山东省高等学校实验技术研究项目(2005)
关键词
粗集
奇异粗集
基数
双向对等奇异粗集
Rough sets
S - rough sets
Cardinal number
Both - direction - equipotent S - rough sets
