  Fuzzy inference systems always suffer from the lack of efficient structures
or platforms for their hardware implementation. In this paper, we tried to
overcome this problem by proposing new method for the implementation of those
fuzzy inference systems which use fuzzy rule base to make inference. To achieve
this goal, we have designed a multi-layer neuro-fuzzy computing system based on
the memristor crossbar structure by introducing some new concepts like fuzzy
minterms. Although many applications can be realized through the use of our
proposed system, in this study we show how the fuzzy XOR function can be
constructed and how it can be used to extract edges from grayscale images. Our
memristive fuzzy edge detector (implemented in analog form) compared with other
common edge detectors has this advantage that it can extract edges of any given
image all at once in real-time.
