摘要
集对分析自１９８９年提出以来［１］，在许多领域得到了应用，但仍有许多认识上和理论上的问题值得研究。本文认为没有必要限定集对中两个集合的元素数目相等，这样就拓广了集对论的应用范围；并且两集合元素间的对比应在元素序偶中展开，而非对应元素的直接比较，对比方式应采用“是否符合某种关系”来进行。为此，提出了“集对”及其“联系度”的新的数学定义，给出了联系度的运算规则。最后，用简例说明了新集对论的应用。
Since put forward in 1989, the set pair analysis has been used in many fields, but it should be improved yet. This paper doesn' t consider the cardinals of two sets should be limited as equal. This can extend the application of set pair theory. We think that the comparison between elements in these two sets should be done in order-pair of them, not directly. The comparison should be those two elements having some relation or not. In this paper new definitions of set pair and identity-discrepancy-contrary connexion degree are advanced. Some operation rules about the connexion degree are given. Finally, some simple examples ale shown.
出处
《哈尔滨建筑大学学报》
2000年第3期1-5,共5页
Journal of Harbin University of Civil Engineering and Architecture
基金
国家自然科学基金!(59895410)
油气藏地质及开发工程国家重点实验室开放研究项目
关键词
集对
集对分析
联系度
同一性
差异性
对立性
set pair
set pair analysis
connexion degree
identity
discrepancy
contrary
