On Variable Weight Clustering Model of Generalized Interval Grey Numbers for Multiple Uncertain Data

摘要

In the real life, it has the obvious characteristic of multiple uncertainties for most of the data which are obtained. The multiple uncertainties appear as that the data have fuzziness, greyness and randomness meanwhile. However, there are limitations to research on the clustering of multiple uncertain data with the present uncertain multi-attributes clustering decision-making method. To solve the clustering problems of the multiple uncertain data, the concept and proof process of generalized interval grey numbers is proposed by analyzing the relationship of grey number, fuzzy number, Interval-valued fuzzy number and probability number. According to generalized interval grey number, its possibility function is inferred by extending the traditional grey possibility function. Then the variable weight clustering model of generalized interval grey numbers is proposed to research on the clustering problems of the multiple uncertain data. The results of the application example show that the model proposed is effective to solve this kind of clustering problems.