Necessary and Sufficient Conditions of Fuzzy Circuit for Closed Fuzzy Matroids
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Abstract:
Fuzzy circuit is a fundamental conception of fuzzy matroid and it plays an important role in fuzzy matroid. Using fundamental sequence and induced matroid sequence of fuzzy matroid, the fuzzy circuits of closed fuzzy matroids are studied and some results are found out about fuzzy circuits, I which are the necessary and sufficient conditions of elementary fuzzy circuit for fuzzy matroids or closed fuzzy matroids;the property of elementary fuzzy circuit for closed fuzzy ma- troids;the necessary and sufficient conditions of fuzzy circuit for closed fuzzy matroids. These results are helpful to find out fuzzy circuits from some fuzzy dependent sets of closed fuzzy matroids.
