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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Advances in Fuzzy Systems |
| Online Access: | http://dx.doi.org/10.1155/2015/898651 |
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| _version_ | 1832549514405216256 |
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| author | Arthur Seibel Josef Schlattmann |
| author_facet | Arthur Seibel Josef Schlattmann |
| author_sort | Arthur Seibel |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-58b6c6a26569466586040a19dd1a9950 |
| institution | Kabale University |
| issn | 1687-7101 1687-711X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Fuzzy Systems |
| spelling | doaj-art-58b6c6a26569466586040a19dd1a99502025-02-03T06:11:02ZengWileyAdvances 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 |
| spellingShingle | Arthur Seibel Josef Schlattmann An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers Advances in Fuzzy Systems |
| title | 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_short | An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers |
| title_sort | analytical approach to evaluating nonmonotonic functions of fuzzy numbers |
| url | http://dx.doi.org/10.1155/2015/898651 |
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