On the reliability of the influence measure in the transformation method of fuzzy arithmetic
type: Item
instance of: scholarly article
title: On the reliability of the influence measure in the transformation method of fuzzy arithmetic
zbMATH Open document ID: 1054.93007
DOI: 10.1016/S0165-0114(03)00163-5
author: Michael Hanss
author: Andreas Klimke
published in: Fuzzy Sets and Systems
publication date: 2004-08-06T00:00:00Z
review text: The paper discusses heuristically introduced gain factors within the transfomation method of \textit{M. Hanss} [Fuzzy Sets Syst. 130, 277--289 (2002; Zbl 1015.65005)] as a measure of the degree of influence of the uncertain fuzzy-paramterized models on the overall output model uncertainty. An alternative total differential-based measure of this influence is presented. Both measures are compared on a simple example. Moreover, simulation comparison results on several test models are supplied.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 00A71
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 2081662
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: fuzzy arithmetics
zbMATH Keywords: fuzzy-parametrized models
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: gain factors
zbMATH Keywords: transformation
zbMATH Keywords: degree of influence
zbMATH Keywords: differential-based measure
reviewed by: Lubomír Bakule
MaRDI profile type: Publication
cites work: Vertex method for computing functions of fuzzy variables
cites work: Fuzzy sets and systems. Theory and applications
cites work: The transformation method for the simulation and analysis of systems with uncertain parameters
cites work: A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters.
cites work: Q4002022
full work available at URL: s0165-0114(03)00163-5
OpenAlex ID: W1966574641
description: scientific article; zbMATH DE number 2081662