An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers

This paper presents a novel analytical approach to evaluating continuous, nonmonotonic functions of independent fuzzy numbers. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

Bibliographic Details
Main Authors: Arthur Seibel, Josef Schlattmann
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2015/898651
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spelling doaj-58b6c6a26569466586040a19dd1a99502020-11-24T23:38:46ZengHindawi LimitedAdvances in Fuzzy Systems1687-71011687-711X2015-01-01201510.1155/2015/898651898651An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy NumbersArthur Seibel0Josef Schlattmann1Workgroup on System Technologies and Engineering Design Methodology, Hamburg University of Technology, 21073 Hamburg, GermanyWorkgroup on System Technologies and Engineering Design Methodology, Hamburg University of Technology, 21073 Hamburg, GermanyThis paper presents a novel analytical approach to evaluating continuous, nonmonotonic functions of independent fuzzy numbers. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.http://dx.doi.org/10.1155/2015/898651
collection DOAJ
language English
format Article
sources DOAJ
author Arthur Seibel
Josef Schlattmann
spellingShingle Arthur Seibel
Josef Schlattmann
An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers
Advances in Fuzzy Systems
author_facet Arthur Seibel
Josef Schlattmann
author_sort Arthur Seibel
title An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers
title_short An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers
title_full An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers
title_fullStr An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers
title_full_unstemmed An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers
title_sort analytical approach to evaluating nonmonotonic functions of fuzzy numbers
publisher Hindawi Limited
series Advances in Fuzzy Systems
issn 1687-7101
1687-711X
publishDate 2015-01-01
description This paper presents a novel analytical approach to evaluating continuous, nonmonotonic functions of independent fuzzy numbers. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.
url http://dx.doi.org/10.1155/2015/898651
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