Evaluation of the ranking probabilities for partial orders based on random linear extensions

Lerche, Dorte B.; Sørensen, Peter B.

doi:10.1016/s0045-6535(03)00558-7

Cited by 43 publications

(24 citation statements)

References 14 publications

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“…Brüggemann and co-workers [39][40][41][42][43][44] have proposed their use as an attractive way of handling complex information within the environmental area. Poset models in ranking or prioritizing chemical pollutants have been proposed [45][46][47][48]. A book on the chemical and environmental science applications has appearred [49], and beyond this they are advocated [50] as of rather general utility in science, with there then also being numerous mathematical developments.…”

Section: Posetic Applications In Generalmentioning

confidence: 99%

Prediction of Environmental Properties for Chlorophenols with Posetic Quantitative Super-Structure/Property Relationships (QSSPR)

Ivanciuc

Klein

2006

IJMS

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Due to their widespread use in bactericides, insecticides, herbicides, and fungicides, chlorophenols represent an important source of soil contaminants. The environmental fate of these chemicals depends on their physico-chemical properties. In the absence of experimental values for these physico-chemical properties, one can use predicted values computed with quantitative structure-property relationships (QSPR). As an alternative to correlations to molecular structure we have studied the super-structure of a reaction network, thereby developing three new QSSPR models (poset-average, clusterexpansion, and splinoid poset) that can be applied to chemical compounds which can be hierarchically ordered into a reaction network. In the present work we illustrate these poset QSSPR models for the correlation of the octanol/water partition coefficient (log K ow ) and the soil sorption coefficient (log K OC ) of chlorophenols. Excellent results are obtained for all QSSPR poset models to yield: log K ow , r = 0.991, s = 0.107, with the cluster-expansion QSSPR; and log K OC , r = 0.938, s = 0.259, with the spline QSSPR. Thus, the poset QSSPR models predict environmentally important properties of chlorophenols.

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Section: Posetic Applications In Generalmentioning

confidence: 99%

Prediction of Environmental Properties for Chlorophenols with Posetic Quantitative Super-Structure/Property Relationships (QSSPR)

Ivanciuc

Klein

2006

IJMS

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“…Lerche and Sorensen (2003) use random sampling, whereas De Loof et al (2006) develop a method based on lattice theory. In the present paper, we use the approach by Brüggemann et al (2004), who derive a closed form solution for the (approximate) averaged rank of objects of a POSET, using …”

Section: Computationmentioning

confidence: 99%

Measurement of fiscal rules: Introducing the application of partially ordered set (POSET) theory

Badinger

Reuter

2015

Journal of Macroeconomics

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“…Table IV shows the results PN-T3SD for each alternative. Hasse diagrams [35] of Fig. 13 shows the overall result for different given policies.…”

Section: Petri Net Modelingmentioning

confidence: 99%

A Petri Net-T3SD policy driven method for IT infrastructure selection in smart grid

Zamani

Fereidunian

Mansouri

et al. 2011

2011 IEEE International Systems Conference

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this paper presents a novel expert system referred as Petri Net equipped Tricotyledon Theory of System Design (PN-T3SD) to select a proper IT infrastructure for smart grid. The proposed PN-T3SD is a policy-driven decision making methodcombining the ideas from Petri nets and Wymorian T3SD-that can change the result of decision making according to the utility's policy. The PN-T3SD is applied to the practical data of the Greater Tehran Electrical Distribution Company (GTEDC). Three Alternatives of Spread Spectrum (SS), Distribution Line Carrier (DLC) and Leased Line (LL) are selected as proposed IT infrastructure. The implemented results are examined by developed policies scenarios.

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Evaluation of the ranking probabilities for partial orders based on random linear extensions

Cited by 43 publications

References 14 publications

Prediction of Environmental Properties for Chlorophenols with Posetic Quantitative Super-Structure/Property Relationships (QSSPR)

Prediction of Environmental Properties for Chlorophenols with Posetic Quantitative Super-Structure/Property Relationships (QSSPR)

Measurement of fiscal rules: Introducing the application of partially ordered set (POSET) theory

A Petri Net-T3SD policy driven method for IT infrastructure selection in smart grid

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