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https://dx.doi.org/10.1155/201...
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Roughness in Lattice Ordered Effect Algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:Hindawi LimitedJournal:The Scientific World Journal, volume 2,014, pages 1-9 (issn: 2356-6140, eissn: 1537-744X, Copyright policy )
Authors: Xiao Long Xin; Xiu Juan Hua; Xi Zhu;

doi: 10.1155/2014/542846

pmid: 25170523

pmc: PMC4134886

Roughness in Lattice Ordered Effect Algebras

Abstract

Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context. Moreover, we introduce the notions of the interior and the closure of a subset and give some of their properties in effect algebras. Finally, we use a Riesz ideal induced congruence and define a functione(a,b)in a lattice ordered effect algebraEand build a relationship between it and congruence classes. Then we study some properties about approximation of lattice ordered effect algebras.

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Technology, T, Science, Q, R, Medicine, Mathematical Concepts, Research Article

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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!
1
Average
Average
Average
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gold