依零测度的Fuzzy集运算

Operation of Fuzzy Set Depended on Zero Measure Sets

给出了Fuzzy集合依零测度的包含,依零测度的相等,依零测度的并,交,补运算等,并补充地研究了这些基本运算,获得了若干好的性质。Fuzzy集依零测度的基本运算比标准fuzzy集合论的相应运算更有人情味,更为接近人的智能机理,有望在智能信息处理和软计算领域取得好的应用。

<Abstrcat> This paper give us some propositions, such as containment of the Fuzzy set depended on (zero) measure sets, identity of the Fuzzy set depended on zero measure sets, union of the Fuzzy set (depended) on zero measure sets, intersection of the Fuzzy set depended on zero measure sets, (complement) of the Fuzzy set depended on zero measure sets and so on. We also complementally (research) fundamental operation, and from this paper, we can obtain some good results. The basic (operations) of the Fuzzy set depended on zero measure sets are more humanistic, reasonable and similar with intelligence and the structure and principle of humans than the corresponding operations of the (standard) fuzzy set theory. It is hopeful to be widely applied in the fields of intelligence information (processing) and soft computation.