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We consider the comparison theorems for the fractional forward  h -difference equations in the context of discrete fractional calculus. Moreover, we consider the existence and uniqueness theorem for the uncertain fractional forward  h -difference equations. After that the relations between the solutions for the uncertain fractional forward  h -difference equations with symmetrical uncertain variables and their α-paths are established and verified using the comparison theorems and existence and uniqueness theorem. Finally, two examples are provided to illustrate the relationship between the solutions.

A Correlation Between Solutions of Uncertain Fractional Forward Difference Equations and Their Paths