Numerical Version of the Non-Uniform Method for Finding Point Estimates of Uncertain Scaling Constants

The chapter focuses on the analysis of scaling constants when constructing a utility function over multi-dimensional prizes. Due to fuzzy rationality, those constants are elicited in an interval form. It is assumed that the decision maker has provided additional information describing the uncertainty of the scaling constants' values within their uncertainty interval. The non-uniform method is presented to find point estimates of the interval scaling constants and to test their unit sum. An analytical solution of the procedure to construct the distribution of the interval scaling constants is provided, along with its numerical realization. A numerical procedure to estimate p-value of the statistical test is also presented. The method allows making an uncertainty description of constants through different types of probability distributions and fuzzy sets.