Some Theorems on the Demeanour of Probabilistic Uncertainty-Like Functional under the Bounds

The resulting mean of the optimal solutions of minimization problems, whose objective functions are the uncertainty like functionals, are known as uncertainty mean. The uncertainty mean satisfies all the basic properties of the classical mean, weighted homogeneous mean as well as many others are special cases of uncertainty mean. The indeed paper deals with comparison property and asymptotic demeanour of the uncertainty mean.