摘要
将定性值像定量值一样参与运算和推导,是定性理论走向真正实际应用必须解决的极为关键的研究问题.相关研究提出的方法在此方面均有一定的局限性.本文提出了一种基于云模型的定性运算理论与方法.首先在云模型基本运算的基础上提出了基于云模型的定性关系演算方法,其次提出了基于云模型的一元一次定性方程的求解方法.理论和方法能比较科学合理地计算出定性值,且具有定性与定量相互融合的特点.为定性演算和推导在系统分析和仿真等领域中进一步应用提供了重要的借鉴方法.
It is the most important key problem for the qualitative theory to practice ap- plication that the qualitative value is operated like the quantitative value. Relative research methods proposed have the shortcoming. The theory and method of qualitative operation based on cloud model is proposed in this paper. Firstly the qualitative relation of operation based on cloud model is given on the basis of basic operation of cloud model. Secondly the resolving method of one-variable-one-time qualitative equation based on cloud model is pro- posed. In this theory and method the qualitative value can be calculated exactly and precisely. The method has the character of fusion of qualitative and quantitative value. It provides the important reference method for the qualitative operation application in the fields of system analysis and simulation and so on.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第18期176-182,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(71001082)
关键词
定性运算
定性方程
云模型
qualitative operation
qualitative equation
cloud model
