一种新的模糊集合模糊度公式

A New Formula of the Degree of Fuzziness about Fuzzy Sets

根据决策者的偏好,结合模糊集的位置引入位置影响因子,得到基于模糊集与最模糊集相对贴近度的新模糊度公式,并用算例检验其合理性和分辨力.新模糊度公式能有效地比较模糊集之间的模糊程度大小.

We introduce the influence factor when a fuzzy set is situated in the different position based on decision makers＇ risk preference. Then we get a new formula of the degree of fuzziness for fuzzy sets based on the relative close degree of fuzzy set and the most fuzzy set. Some numerical examples are displayed to verify the validity and resolution of the proposed new fuzzy degree, which can effectively compare the fuzziness of fuzzy sets.