title: |
On lattice structure and implications on ordered fuzzy numbers |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 267 - 274 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Magdalena Kacprzak, Witold Kosinski |
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publication date: |
July 2011 |
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keywords: |
Convex fuzzy numbers, ordered fuzzy numbers, partial order, lattice, implication, defuzzification functionals. |
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abstract: |
Ordered fuzzy numbers (OFN) invented by the second
author and his two coworkers in 2002 make possible
to utilize the fuzzy arithmetic and to construct
the Abelian group of fuzzy numbers and then an
ordered ring. The definition of OFN uses the extension
of the parametric representation of convex
fuzzy numbers. Fuzzy implication is proposed with
the help of algebraic operations and a lattice structure
defined on OFN. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |