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Numerical Version of the Non-Uniform Method for Finding Point Estimates of Uncertain Scaling Constants
Citation
Nikolova, ND and Tenekedjiev, KI, Numerical Version of the Non-Uniform Method for Finding Point Estimates of Uncertain Scaling Constants, Efficiency and Scalability Methods for Computational Intellect, IGI Global, B Igelnik, JM Zurada (ed), USA, pp. 259-292. ISBN 9781466639423 (2013) [Research Book Chapter]
Copyright Statement
Copyright 2013 IGI Global
DOI: doi:10.4018/978-1-4666-3942-3.ch013
Abstract
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.
Item Details
Item Type: | Research Book Chapter |
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Keywords: | scaling constants, fuzzy rationality, multi-dimensional prizes |
Research Division: | Mathematical Sciences |
Research Group: | Statistics |
Research Field: | Applied statistics |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the information and computing sciences |
UTAS Author: | Nikolova, ND (Professor Nataliya Nikolova) |
UTAS Author: | Tenekedjiev, KI (Professor Kiril Tenekedjiev) |
ID Code: | 115712 |
Year Published: | 2013 |
Deposited By: | Maritime and Logistics Management |
Deposited On: | 2017-04-05 |
Last Modified: | 2017-06-15 |
Downloads: | 0 |
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