We introduce the concept of bipolar fuzzy matroids and describe some properties of various types of bipolar fuzzy matroids. We apply the notion of bipolar fuzzy matroids to graph theory and linear algebra. We present closure of a bipolar fuzzy matroid, bipolar fuzzy rank function, fundamental sequence, circuit rectangles and put special emphasis on bipolar fuzzy circuits. We also describe certain applications of bipolar fuzzy matroids in decision support system and network analysis.
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