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A novel few-mode multi-core (FMMC) optical fiber transmission system based on probabilistic shaping (PS) with low complexity multiple-input multiple-output (MIMO) equalization method is proposed and demonstrated in this paper. Compared with the traditional FMMC counterpart, the total bit error rate (BER) is reduced by 3 times after 50km fiber transmission with the optical signal-to-noise ratio (OSNR) in the range of 12 to 20 dB. At a bit error rate of forward error correction (FEC) limit, the optical transmission system proposed in this paper outperforms the traditional one by at least 3dB OSNR improvement. When the OSNR is 20 dB and the BER is lower than the FEC limit, the transmission distance is doubled.