The Study On The Method By Induced Matroid Sequences Of Fuzzy Matroids

On the base of the theory of crisp matorids and fuzzy matroids, the paper studies mainly the method of induced matroid sequences to construct and research the fuzzy matroids,also discuss the application of this method.1. The paper amply proposed and discussed on the method of induced matroid sequences of fuzzy matroids.2. With help the method of induced matroid sequences, we constructed fuzzy constraint-sequence matroid, fuzzy contraction-sequence matroid and fuzzy truncation-sequence matroid by the method of construction submatroid: constraint, truncation and contraction,.3.The paper has studied the fuzzy contraction-sequence matroid. Firstly, we have discussed its various particular properties, then, proven this fuzzy matroid is actually a special kind of closed regular fuzzy matroids. At last, we have analyzed the relationship between this fuzzy matroid and quasi-fuzzy graph matroid.4.The paper has researched the fuzzy truncation-sequence matroid. Firstly, we have discussed its unique properties. Secondly, we have proven this fuzzy matroid is actually a special kind of closed regular fuzzy matroids. Third, a sufficient and necessary condition of the fuzzy matroids has been observed by us.