区间数排序的粗糙集方法

Rough sets ranking methodology for interval numbers

针对模糊多属性决策中属性值为区间数情况下区间数排序问题,应用粗糙集理论和模糊集理论得到了一种区间数的排序方法:区间数上近似集排序法;区间数下近似集排序法;区间数上(下)近似集折中排序方法.给出了区间数的粗糙集表示,区间数的粗糙集排序方法及其良好性质.详细论证了其与经典的区间数排序的可能度方法相比的诸多优势.同时给出了具体实例并进行了这种方法的应用与验证,以便能更好地理解这种粗糙集排序方法.

In fuzzy multiple attribute decision-making, the given attribute value was interval number, and according to the ranking problem of interval number, rough sets and fuzzy sets theories were applied to gain the methods of ranking： the upper approximations with the interval number; the lower approximations with the interval number; compromising ranking method of the upper （lower） approximations with the interval number. Besides, the rough sets of the interval number, the ranking method of the interval number based on rough sets, and its good properties were presented. The superiority to the classic method of the capable degree in the interval number was demonstrated. Finally, this method is adopted and verified by a specific example so that ranking interval number based on rough sets can be understood well.