In this paper, we de7ne fuzzy dual number linear systems (FDLSs) expressed as C̃Z = ̃W, where C represents a crisp dual number matrix and ̃W denotes a fuzzy dual number vector. Our study focuses on three primary objectives. First, we obtain the existence of strong fuzzy solutions to the FDLS by analyzing the CMP inverse of coe:cient matrix. Second, we investigate the existence of nonnegative CMP inverse by analyzing their block structure. Third, we derive general strong fuzzy solutions for the FDLS and develop a corresponding computational algorithm based on the CMP inverse. Meanwhile, a method for obtaining general solutions of the FDLS is proposed under the premise of a strong fuzzy solution. To illustrate our theoretical framework, we present numerical examples demonstrating the e:cacy of the proposed methodology.
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