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https://doi.org/10.2991/eusfla...
Article . 2011 . Peer-reviewed
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On lattice structure and implications on ordered fuzzy numbers

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2011Publisher:Atlantis PressJournal:Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)
Authors: Magdalena Kacprzak; Witold Kosinski;

doi: 10.2991/eusflat.2011.156

On lattice structure and implications on ordered fuzzy numbers

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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    		 9
    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Average
Average
gold