基于K-means聚类及模糊判别的卷烟包灰性能综合评价方法

Comprehensive evaluation method for ash characterization of burning cigarette based on K-means clustering and fuzzy discrimination

为实现卷烟包灰性能的综合评价和评价结果具象化,以49个卷烟的灰色、裂口率、缩灰率、碳线宽度、碳线整齐度测定结果为原始变量,先运用K-means聚类、模糊判别法将原始变量转换为具象化的得分数据,再运用Critic赋权法赋予各项指标权重,建立了一种卷烟包灰性能综合评价方法。结果表明:将原始变量转换成区间为60~100、平均值在80左右的得分,可使评价结果具象化且更加符合认知习惯;5项指标的权重由高到低依次为裂口率(0.27)>缩灰率(0.25)>灰色(0.18)>碳线整齐度(0.16)>碳线宽度(0.14);卷烟包灰性能可划分为优、良、差三档,各档得分区间依次为(85,100]、[75,85]、[60,75);不同档次代表性卷烟的灰柱视觉效果对比结果证明,综合得分可客观反映卷烟包灰性能的优劣。

In order to achieve a comprehensive evaluation of ash characterization of burning cigarette and make the evaluate results concrete,the gray scale,crack rate,shrinkage rate,width of char line,and uniformity of char line measurement results of 49 cigarettes were used as the primitive variables.Firstly,K-means clustering and fuzzy discriminant analysis were used to convert the primitive variables into concrete score data,then the weight of each indicator was assigned by critical weighting method,and a comprehensive evaluation method was established.The results indicated that converting the primitive variables into scores ranging from 60 to 100 with an average value of around 80 could make the evaluate results concrete and consistent with cognitive habits.The weight of the five indicators,from high to low,was as follows:crack rate(0.27)>shrinkage rate(0.25)>gray scale(0.18)>uniformity of char line(0.16)>width of char line(0.14).The comprehensive ash characterization of burning cigarette could be divided into three levels:excellent,good,and poor,the score range of each level was(85,100],[75,85],and[60,75),respectively,the comparison of bar charts of representative cigarettes of different levels proved that the comprehensive score could objectively reflect the advantages and disadvantages of the ash characterization of burning cigarette.