粗糙直觉模糊集的近似表示

在粗糙直觉模糊集的基础上,从新的角度提出了不确定目标概念的近似表示和处理的方法(通过近似模糊集和近似精确集刻画).首先将已有的直觉模糊集相似概念和均值直觉模糊集概念引入到该模型,定义了Pawlak近似空间U/R下的阶梯直觉模糊集、0.5-精确集的概念,然后得到了均值直觉模糊集(0.5-精确集)是所有直觉模糊集中与目标直觉模糊集最接近的直觉模糊集(近似精确集),接着分析了均值直觉模糊集、0.5-精确集分别与目标直觉模糊集的相似度随着知识粒度变化的变化规律.

The Approximate Reproximate of Rough-Intuitionistic Fuzzy Sets

On the basis of the rough intuitionistisc fuzzy set model,this paper proposed a methods in a new perspective to represent and process the uncertain target concept.By which the notions of similarity and average-intuitionistic fuzzy set are introduced.The ladderintuitionistic fuzzy set and 0.5-crisp set of a intuitionistic fuzzy set are defined in the knowledge space U/R.The conclusions that the average intuitionstic fuzzy set(the 0.5-crisp set) is the best intuitionistic fuzzy approximation set of the target intuitionistic fuzzy set in all intuitionistic sets(all crisp sets) are presented and proved.Moreover,the similarity degree between the average-intuitionistic fuzzy set and the target intuitionistic fuzzy set,and the similarity degree between the 0.5-crisp set and the target intuitionistic fuzzy set axe discussed respectively and the change rules of these similarity degrees with the changing knowledge granularity are analyzed in detail.