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This study presents the concept of multi-granularity fuzzy soft rough sets (MGFSR-sets). A pair of multi-granularity fuzzy soft rough approximations is proposed. Basic properties of multi-granularity fuzzy soft rough approximations are presented and showed by some illustrative examples. In addition, new types of fuzzy soft sets such as jointly full fuzzy soft set, jointly intersection complete fuzzy soft set and jointly union complete fuzzy soft set are defined. Finally, some new multi-granularity fuzzy soft W-rough relations are given.
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