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In this paper, we study the notions of soft L-neighborhood systems and soft Lquasi-uniformities in complete residuated lattices. We investigate the relations among soft Ltopology, soft L-neighborhood systems and soft L-quasi-uniformities. We give their examples. AMS Subject Classification: 03E72, 06A15, 06F07, 54A05

THE RELATIONS BETWEEN SOFT $L$-QUASI UNIFORMITIES AND SOFT $L$-NEIGHBORHOOD SYSTEMS