一般模糊集下模糊拟阵的若干运算

摘要

Several operations of fuzzy matroids of fuzzy sets are defined , including two k-truncations, restriction and contraction of fuzzy matroids under a fuzzy set. Some properties of this operations are investigated. These operations not only observe the properties in the matroid theory, but also have new characteristics in the fuzzy setting.%定义了模糊拟阵的几种运算，包括一般模糊集下的三种k-截短，一般模糊集下的限制与收缩拟阵等，并且系统地研究了这些运算的性质，这些性质与一般拟阵的相应性质之间的关系．这些性质在某种条件下既保持了一般拟阵中相应概念原有的性质，又具有模糊拟阵中新的特点．