Some Theorems on the Demeanour of Probabilistic Uncertainty-Like Functional under the Bounds
Rohit Kumar Verma *
Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Uncertainty mean, uncertainty like functional, comparison theorem, asymptotic demeanour, weighted mean, homogeneous mean etc