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The objective of this paper is to introduce the innovative concept of Riemannian complex fuzzy sets (RCFSs). We discussed some new operations and laws of a RCFS such as Riemannian complex fuzzy union, intersection, complement, disjunctive sum, simple difference, bounded difference, simple product, Cartesian product, probabilistic sum, bold sum, convex linear sum, relations, and distance functions. We studied the basic results and particular examples of these operations. We used RCFSs in signalsdoi:10.21203/rs.3.rs-1710921/v1 fatcat:7sfuyciucbc67i3y4owd23kcbu