Application of Grey System Theory to Software Projects Ranking

Slavek, Ninoslav; Jović, Alan

doi:10.7305/automatika.53-3.80

Cited by 19 publications

(13 citation statements)

References 7 publications

(11 reference statements)

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“…Grey system theory (GST) was developed in 1982 to study systems where available information is insufficient and/or there is a great deal of uncertainty in the data [40]- [42]. GST has been used in numerous areas of research including agricultural, economics, geology, ecology [43], and environmental research [43]- [46].…”

Section: Grey Systemmentioning

confidence: 99%

Two mathematical approaches to study the phosphorus eutrophication of a wetland in Puerto Rico

et al. 2019

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Introduction: Laguna Cartagena (LC), a wetland in Lajas, Puerto Rico, has been negatively impacted by nutrients, mainly phosphorus run-off from agricultural activities until the end of sugar cane cultivation in the late 1900s. This led to P concentration remain high at hypereutrophic state that was irremediable even after a 5-fold reduction in source water nutrient concentration. Objective: The main goal of this research paper is to apply two different mathematical approaches to assess the eutrophication level of a wetland in Puerto Rico. Method: Grey Cluster Method (GCM) was used to classify LC’s eutrophic state by applying the International and Chinese trophic standards and two parameters, total phosphorous (TP) and total nitrogen (TN). Mean TP and TN from LC consolidated bottom substrate and flocculence samples were used to classify LC. To address whether LC can recover, soluble reactive phosphorus (SRP) and TP from LC inlet, outlet and center water samples were used to model (differential equation) the input and loss of phosphorus in LC and determine whether an equilibrium point exists. GCM analysis classified LC as a eutrophic wetland using the International standard and hypereutrophic using the Chinese standard. Results: Trophic state classification did not vary with use of consolidated bottom substrate versus flocculence samples. The differential equation model showed that SRP and TP levels within LC were higher than levels of SRP and TP entering LC, which could be caused by a nutrient recycling process within LC that may predict failure of remediation efforts. An equilibrium point was found at the eutrophic level, which means that even if there is a reduction in phosphorus input, there will not be a change in LC’s eutrophic state. Conclusions: Chinese trophic standard indicated LC was in a hypertrophic state. Similar results were found using the international standard. The differential equation model showed that LC is irreversible.

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Section: Grey Systemmentioning

confidence: 99%

Two mathematical approaches to study the phosphorus eutrophication of a wetland in Puerto Rico

et al. 2019

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“…Grey set, grey algebra system, grey equation, and grey matrix are all based on GST. Although GST has made significant contribution in lot of disciplines, the grey distinguishing coefficient is a problem worthy of further study [23,24].…”

Section: Grey System Theory (Gst)mentioning

confidence: 99%

Evaluating University Reputation Based on Integral Linear Programming with Grey Possibility

Chen

Esangbedo

2018

Mathematical Problems in Engineering

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As the Chinese economy becomes stronger and stronger, there is increasing interest by some countries to adopt the Chinese approach to grow. The outstanding Chinese growth can be partly attributed to the education quality that is obtainable from the universities in China. The need to evaluate the reputation of Chinese universities is essential. In this paper, a hierarchical model for evaluating universities is proposed. Also, the Integral Linear Programming with Grey Possibility (ILP-GP) method is presented, which does not require the assumption of 0.5 for the grey distinguishing coefficient (ζ=0.5) in Grey Relational Analysis (GRA). In this paper, a numerical example for evaluating the reputation of five universities based on the sample data from 1,565 students in Shaanxi Province, China, is presented, and the most reputable university in this research is consistent with rankings in the literature.

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“…The grey model is a powerful tool for forecasting the behaviour of the system in the future. It has been successfully applied to various fields since it was proposed by Deng [23][24][25][26][27][28][29][30][31]. In this paper we use a one-variable first-order differential grey equation, (1, 1).…”

Section: Forecasting Model Of Metalmentioning

confidence: 99%

Evaluation of Underground Zinc Mine Investment Based on Fuzzy-Interval Grey System Theory and Geometric Brownian Motion

Gligorić

Kričak

Beljić

et al. 2014

Journal of Applied Mathematics

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Underground mine projects are often associated with diverse sources of uncertainties. Having the ability to plan for these uncertainties plays a key role in the process of project evaluation and is increasingly recognized as critical to mining project success. To make the best decision, based on the information available, it is necessary to develop an adequate model incorporating the uncertainty of the input parameters. The model is developed on the basis of full discounted cash flow analysis of an underground zinc mine project. The relationships between input variables and economic outcomes are complex and often nonlinear. Fuzzyinterval grey system theory is used to forecast zinc metal prices while geometric Brownian motion is used to forecast operating costs over the time frame of the project. To quantify the uncertainty in the parameters within a project, such as capital investment, ore grade, mill recovery, metal content of concentrate, and discount rate, we have applied the concept of interval numbers. The final decision related to project acceptance is based on the net present value of the cash flows generated by the simulation over the time project horizon.

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Application of Grey System Theory to Software Projects Ranking

Cited by 19 publications

References 7 publications

Two mathematical approaches to study the phosphorus eutrophication of a wetland in Puerto Rico

Two mathematical approaches to study the phosphorus eutrophication of a wetland in Puerto Rico

Evaluating University Reputation Based on Integral Linear Programming with Grey Possibility

Evaluation of Underground Zinc Mine Investment Based on Fuzzy-Interval Grey System Theory and Geometric Brownian Motion

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