函数单向S-粗集对偶是函数S-粗集(function singular rough sets)的基本形式之一.函数单向S-粗集对偶是研究系统规律入侵预测的一个重要的理论与方法.利用函数单向S-粗集对偶(Dual of function one direction singular rough sets),本...函数单向S-粗集对偶是函数S-粗集(function singular rough sets)的基本形式之一.函数单向S-粗集对偶是研究系统规律入侵预测的一个重要的理论与方法.利用函数单向S-粗集对偶(Dual of function one direction singular rough sets),本文给出p-状态,状态距离的概念,系统状态被p-规律随机入侵的概念.进而给出系统状态被p-规律入侵呈现的状态特征及对这些状态特征的识别准则和应用.展开更多
The numerical characteristics of fuzzy numbers include the optimistic value, pessimistic value, expected value, and the variance. We mainly provide the calculation formulae of several numerical characteristics of fuzz...The numerical characteristics of fuzzy numbers include the optimistic value, pessimistic value, expected value, and the variance. We mainly provide the calculation formulae of several numerical characteristics of fuzzy numbers based on credibility measure. Especially, the variance of symmetric fuzzy numbers is formulated, and a super bound for the variance of fuzzy numbers is presented. Meanwhile, some conclusions relative to credibility measure, optimistic and pessimistic values are also given.展开更多
文摘函数单向S-粗集对偶是函数S-粗集(function singular rough sets)的基本形式之一.函数单向S-粗集对偶是研究系统规律入侵预测的一个重要的理论与方法.利用函数单向S-粗集对偶(Dual of function one direction singular rough sets),本文给出p-状态,状态距离的概念,系统状态被p-规律随机入侵的概念.进而给出系统状态被p-规律入侵呈现的状态特征及对这些状态特征的识别准则和应用.
文摘The numerical characteristics of fuzzy numbers include the optimistic value, pessimistic value, expected value, and the variance. We mainly provide the calculation formulae of several numerical characteristics of fuzzy numbers based on credibility measure. Especially, the variance of symmetric fuzzy numbers is formulated, and a super bound for the variance of fuzzy numbers is presented. Meanwhile, some conclusions relative to credibility measure, optimistic and pessimistic values are also given.