Advance in grey incidence analysis modelling

Liu, Sifeng; Cai, Hua; Cao, Ying; Yang, Yingjie

doi:10.1109/icsmc.2011.6083947

Cited by 47 publications

(49 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Three types of GI were calculated. The first one (GI1) was proposed by Deng [52] and the details about calculation can be found in [53]. GI1 was the first model proposed in grey system theory.…”

Section: Grey Incidences (Gis) Analysismentioning

confidence: 99%

“…The second one (GI2) was the improved generalized absolute grey incidence model proposed by Cao and the details about its calculation can be found in [50]. GI2 is the modification of the GI proposed by Liu [53]. It measured the trend of system behaviors and factors by the area of the region that surrounded by the curves of the data sequences.…”

Section: Grey Incidences (Gis) Analysismentioning

confidence: 99%

See 1 more Smart Citation

Spatial Distribution of Diffuse Attenuation of Photosynthetic Active Radiation and Its Main Regulating Factors in Inland Waters of Northeast China

Song

Wen

et al. 2016

Remote Sensing

View full text Add to dashboard Cite

Light availability in lakes or reservoirs is affected by optically active components (OACs) in the water. Light plays a key role in the distribution of phytoplankton and hydrophytes, thus, is a good indicator of the trophic state of an aquatic system. Diffuse attenuation of photosynthetic active radiation (PAR) (K d (PAR)) is commonly used to quantitatively assess the light availability. The PAR and the concentration of OACs were measured at 206 sites, which covered 26 lakes and reservoirs in Northeast China. The spatial distribution of K d (PAR) was depicted and its association with the OACs was assessed by grey incidences(GIs) and linear regression analysis. Most importantly, we have demonstrated that the TSM concentration is a reliable measurement for the estimation of the K d (PAR) as 74% of the data produced a relative error (RE) of less than 0.4 in a leave-one-out cross validation (LOO-CV) analysis. Spatial transferability assessment of the model also revealed that TSM performed well as a determining factor of the K d (PAR) for the majority of the lakes. However, a few exceptions were identified where the optically regulating dominant factors were chlorophyll-a (Chl-a) and/or the chromophroic dissolved organic matter (CDOM). These extreme cases represent lakes with exceptionally clear waters.

show abstract

Section: Grey Incidences (Gis) Analysismentioning

confidence: 99%

Section: Grey Incidences (Gis) Analysismentioning

confidence: 99%

Spatial Distribution of Diffuse Attenuation of Photosynthetic Active Radiation and Its Main Regulating Factors in Inland Waters of Northeast China

Song

Wen

et al. 2016

Remote Sensing

View full text Add to dashboard Cite

show abstract

“…The basic idea of grey incidence analysis is to determine the incidence degree according the similarity degree between sequences. Liu and Xie [14,15] proposed some novel methods to cover the shortage of the traditional models.…”

Section: Grey Incidence Analysismentioning

confidence: 99%

Efficiency evaluation method for product cooperative development based on grey incidence analysis and DEA

Liu

2014

2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC)

Self Cite

View full text Add to dashboard Cite

It is the inevitable trend to cooperate in contemporary competitive business environment, especially in product development. Naturally all the participants in the cooperation are concerned about their own benefit. Therefore this study uses efficiency to measure benefit for each participant. Besides, product performance is the first in the most product development and it is much related to quality characteristics, so quality characteristics are important, they should be considered when evaluating benefit for each participant. However, methodologies for deriving the relative efficiency of each participant in the cooperation when considering quality characteristics are absent. To solve this problem, data envelopment analysis (DEA) method in which three kinds of quality characteristics are considered is proposed. A new method is developed to determine a quality characteristic is a DEA input or output. Further, grey incidence degree is introduced into the DEA model, considering the situation that inputs and outputs (quality characteristics) have different contributions on product performance. The result of the model can clearly reflect who is most benefited in the cooperation, which could be used for reference when many parties together negotiate. Finally, a numerical example is used to illustrate the proposed methodology.Keywords-efficiency evaluation method; grey incidence analysis; data envelopment analysis (DEA); quality characteristics; product cooperative development I.

show abstract

“…Under this situation, grey system theory (GST), aiming to solve this type of decision problems, has been developed; this theory can greatly utilize the partly known information in these cases to provide the support for the decision-makers [3]. And one important branch of GST, called grey relational analysis (GRA) [4], has been viewed as the most fundamental methodology of GST in decision-making, prediction, and so on [5,6]. Similar to GST, the research object of GRA can be the time series with inefficient sample and poor information, and its basic principle is to utilize the similarity of geometrical figure generated by different time series to uncover their relationship [7].…”

Section: Introductionmentioning

confidence: 99%

Grey Relational Analysis and Its Application Based on the Angle Perspective in Time Series

Guo

et al. 2014

Journal of Applied Mathematics

View full text Add to dashboard Cite

The research scope of grey relational analysis has not been developed in recent years, and the exiting GRA models are all based on three perspectives, including distance perspective, slope perspective, and area perspective. Under this situation, a novel model called grey relational analysis based on angle perspective (GRAAP) was developed in this paper for the first time, and this model can expand the research scope of GRA. Like other GRA models, GRAAP not only has the properties of symmetry, uniqueness, comparability, and so forth but also can be used to make predictions, assessments, classifications, and so on. Finally, this novel model was proved to be rational and effective through a comparative study on the similar degree of four time series.

show abstract

Advance in grey incidence analysis modelling

Cited by 47 publications

References 1 publication

Spatial Distribution of Diffuse Attenuation of Photosynthetic Active Radiation and Its Main Regulating Factors in Inland Waters of Northeast China

Spatial Distribution of Diffuse Attenuation of Photosynthetic Active Radiation and Its Main Regulating Factors in Inland Waters of Northeast China

Efficiency evaluation method for product cooperative development based on grey incidence analysis and DEA

Grey Relational Analysis and Its Application Based on the Angle Perspective in Time Series

Contact Info

Product

Resources

About