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中文摘要：
把经典Z.Pawlak粗糙集与区间值模糊集相结合,研究区间值模糊数的基本理论。讨论区间值模糊数的基本性质和四则运算法则及其与其它各种区间数的关系,并给出区间值模糊数的刻画定理。同时,在经典Z.Pawlak粗糙集的框架下定义实直线上的粗闭区间套,提出区间值粗糙模糊数的定义。利用模糊数的表现定理给出区间值粗糙模糊数的一个刻画。
英文摘要：
In this paper,we combine the classical Z.Pawlak rough set with interval value fuzzy set,and the interval value fuzzy number is defined based on the interval value fuzzy set. Several properties of it are discussed,and the basic operators of interval value fuzzy number is established,too. Meanwhile,the relationship between the other interval number with interval value fuzzy set are also studied. Furthermore,the decomposition theorem of interval value fuzzy number is given. At the same time,based on the framwork of Z. Pawlak rough set, the weak rough bounded interval nested is defined on universe. Then, the interval value rough fuzzy number is proposed. Finally, a description of the interval value rough fuzzy number is presented by the ordinary fuzzy number.
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