This paper generalizes \(\alpha \) -Bernstein-Durrmeyer operators \(\mathfrak {D}^{\alpha }_{m,{\textbf {K}}}\) which are linear, by using non-linear extension of Lebesgue integral i.e. Choquet integral. The integral is taken corresponding to a collection \({\textbf {K}}\) of monotone and submodular set functions over the interval [0, 1]. The study deals with a unified approach to tackle pointwise convergence of \(\mathfrak {D}^{\alpha }_{m,{\textbf {K}}}\) and imposes particular conditions on \({\textbf {K}}\) for the same. For specific choices of \({\textbf {K}}\) taken into consideration, the generalization produces various Bernstein-like operators with its \(\alpha \) variant. Hence it provides an envelope to analyze the convergence of multiple operators. The impact of varying values of parameter \(\alpha \) and the degree m of the operators is represented graphically. Applications of these operators in signal processing have been discussed for recovering the original signals by removing the noise factor in it.
