模糊软集运算的分析与研究

首先对模糊软集的交、并、补运算进行了补充和修正,然后针对模糊软集参数集不相同的情况进行分析,给出模糊软集的两种不同理解方式,并提出了弱模糊软集和强模糊软集的概念。在这两种解释下采用相同的方法来构造交、并、补算子,并定义新的包含关系,使得在这两种解释下通过交、并运算能够实现信息粒子的泛化与细化。同时给出新的解释下交、并、补运算的性质,证明这两种解释下的交、并、补运算都满足De Morgan律。

ANALYSIS AND RESEARCH ON OPERATION OF FUZZY SOFT SET

The union intersection and complement operators of fuzzy soft sets are replenished and corrected. The fuzzy soft sets with different parameter sets are analyzed. Two different understanding ways are given. Furthermore, the concept of weak fuzzy soft sets and strong fuzzy soft sets are proposed. Under these two explanations, the operators of union intersection and complement are constructed by using the same method. The new inclusion relation is defined in two types of fuzzy soft sets, which makes the generalization and refinement of information granule can be achieved by the operations of union and intersection. Meanwhile, the properties of operations of union, intersection and complement are discussed to show that these operations in two types of soft sets all satisfy the De-Morgan''s law.