CAJ | 학술논문

研究了灰信息理论的不确定性度量方法及其在决策中的应用,说明了建立在有限区间灰数序列基础上的灰序列熵与Shannon概率熵是不同的.讨论了灰数的度量公式和性质,包括不变性、应用条件、两个灰数并与交的灰熵等.最后给出一个应用实例验证了该方法的有效性.
연구료회신식이론적불학정성도량방법급기재결책중적응용,설명료건립재유한구간회수서렬기출상적회서렬적여Shannon개솔적시불동적.토론료회수적도량공식화성질,포괄불변성、응용조건、량개회수병여교적회적등.최후급출일개응용실례험증료해방법적유효성.
The uncertainty measurement method for grey information theory and the metric formula are established,and its application in decision-making is researched.The entropy measurement of grey sequence based on the limited interval grey number sequence is different from the Shannon probability entropy.The measurement formula of grey number and its properties are studied,such as the invariance,the applicable conditions,and the grey entropy of union and intersection of two grey numbers,and so on.Finally,the algorithm for interval grey sequence and an example are given to show the effectiveness of the method.