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.

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Bibliographic Details
Main Authors: Arthur Seibel, Josef Schlattmann
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2015/898651
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Summary: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.
ISSN:1687-7101
1687-711X