Grey relational analysis gra is widely used for madm problems. The advantages of using the gra method include the followings. Due to the variety of treatment processes, the decision to choose the best treatment process is difficult. A novel topsis method based on improved grey relational. We propose a novel approach of using grey relational analysis gra to predict software effort prediction with outlier detection and feature subset selection at an early. An improved hybrid grey relational analysis approach for. Optimal combination of process parameters was then determined by the taguchi. Grey relation analysis method is to translate the performance of all the alternatives into a comparability sequence. Grey relational analysis gra is a part of the grey system theory proposed by deng. Aims to cope with the uncertainty of a system socalled grey system, especially for multivariable, discrete and incomplete data grey methods grey relational analysis gra grey clustering grey statistics operational research system control system modelling system forecast application agriculture. Grey relational analysis method in the grey relational analysis, experimental results cvm%, tenacity and number of hair per meter were first normalized and then the grey relational.
Multiple attribute grey relational analysis using dea and ahp mohammad sadegh pakkar 0 0 faculty of management, laurentian university, sudbury, on p3e 2c6. A coupling model based on grey relational analysis and. The use of grey relational analysis in solving multiple. Purpose this paper aims to propose an integration of the analytic hierarchy process ahp and data envelopment analysis dea methods in a multiattribute grey relational analysis gra.
The relational analysis between heat transfer and pressure loss are obtained by using grey relational analysis method. Grey relational analysis gra, also called dengs grey incidence analysis model, was developed by a chinese professor julong deng of huazhong university of science and technology. Pdf this study aimed to use the greyrelational analysis method to assess watermarking schemes that have been published in recent years. This study proposed a hybrid systems method integrating the human factors analysis and classification system and grey relational analysis to determine the key factors causing coal. The use of the taguchi method with grey relational. This paper describes a fuzzy grey relational analysis gra method for selection of the optimal wastewater treatment process. Deng includes grey relational analysis, grey modeling, prediction and decision making of a system in which the model is unsure or the information is incomplete 8. Trend relational analysis and grey fuzzy clustering methods.
Entropy based grey relational analysis method for multi. The analysis follows a certain sequence of procedures that ultimately result in the determination of the grey relational grade, which is translated as the best choice for a particular alternative. This study aimed at optimising the multiple yarn characteristics in openend rotor spinning using the taguchi method and the grey relational analysis. In grey relation analysis, the main goal is to calculate the relation degree between the pending samples and the reference sample. A hybrid method of grey relational analysis and data. Grey relational coefficients provide the required output data for additive dea models. Grey relational analysis method for multiple attribute. With both grey relational analysis and statistical method, it is found that the tablefeedrate has a significant influence on the machining speed, whilst the gap. Grey relational analysis method in the grey relational analysis, experimental results cvm%, tenacity and number of hair per meter were first normalized and then the grey relational coefficient was calculated from the normalized experimental data to express the relationship between the desired and actual experimental data.
Greyrelational analysis 1 is mainly used to conduct a relational analysis of the uncertainty of a system model and the incompleteness of information. The results provide us with quantitative estimation of the various parameters affecting performance, and the main factors for optimal design are selected by this way. An integrated approach to grey relational analysis. Initially, the grey method was adapted to effectively study air pollution and subsequently used to. Grey relational analysis based on normality grey number 3. Grey systems and fuzzy systems are found everywhere.
Application of taguchi method and grey relational analysis. Grey relational analysis gra parametric optimization. The hybrid systems method integrating human factors. Learn how to calculate gra method by using spreadsheets subscribe. The analysis follows a certain sequence of procedures that ultimately result in the determination of the grey relational grade, which is translated as the best choice for a particular alternative 38. Use of taguchi method and grey relational analysis to. This method is being used, and some mature theories have been applied, such as cluster analysis, grey system theory, and rough set theory. A method for traffic congestion clustering judgment based. Grey relational analysis gra, also called dengs grey incidence analysis model, was developed by a chinese professor julong deng of huazhong university of science and.
Multiple attribute grey relational analysis using dea and. The experimental results were analysed using anova approach. It mainly focuses on small sample and limited information, which is only. A hybrid method of grey relational analysis and data envelopment analysis for evaluating and selecting efficient suppliers plus a novel ranking method for grey numbers. To overcome the shortage of regression analysis and factor analysis, multiattribute method, grey relational analysis gra has been proposed to solve the problem 1, 2, 3. The use of taguchi method with grey relational analysis to. Deng includes grey relational analysis, grey modeling, prediction and decision making of a system in which the model is. Pdf this research applies the method of grey relational analysis gra for multiple attribute decision making madm problems in which the attribute. Pdf fuzzy multiattribute grey relational analysis using. First method is the traditional approach, second method is the grey relational analysis of fmea and the third method is the integration of grey fmea and fuzzy analytic hierarchy process.
Based on the experiments conducted on l9 orthogonal array, analysis has been carried out using grey relational analysis, a taguchi method. Use of the taguchi method and grey relational analysis to optimize. Grey relational analysis gra is a part of grey system theory. Trend relational analysis and greyfuzzy clustering method. Therefore, traditional multivariate statistical methods could have a hard time obtaining a persuasive explanation. Taguchi method with grey relational analysis for optimizing the process parameters for openend spun yarns with multiple performance characteristics.
Pdf an integrated approach to grey relational analysis. Section 5 presents the greyrelational analysis in watermarking 3d images. The optimal condition for both material removal rate and surface roughness are calculated by using a technique called grey. Grey relational method is a method which can reduce subjective judgment of human factors. Grey relational analysis the current assessment method of debris flow risk is shown in figure 1. Pdf the use of the taguchi method with grey relational. Research and application for grey relational analysis in. Deng 1920 developed the gra method that is applied in various areas, such as economics, marketing, personal selection. Grey relational analysis gra is a part of the grey system theory proposed by deng 1982, which is suitable for solving a variety of multiple attribute decision making madm. Pdf application of greyrelational analysis to find the most suitable.
Grey system theory initially proposed by julong deng in 1982 multidisciplinary character aims to cope with the uncertainty of a system socalled grey system, especially for multivariable. This paper describes a fuzzy grey relational analysis gra method for selection of the. Pdf grey relational analysis on factors of the quality of web. In this method, the correlation between reference sequence and comparability sequences is. The results provide us with quantitative estimation of the various. Grey relational analysis is a method for quantitatively describing and comparing to the development. The use of the taguchi method with grey relational analysis to optimize the thinfilm sputtering process with multiple quality characteristic in color filter manufacturing.
Grey theory is an effective uncertainty knowledge acquisition model, proposed by professor deng. Grey relational analysis method for 2tuple linguistic multiple attribute group decision making with incomplete weight information. Pdf using the fuzzy grey relational analysis method in. A grey relational grade obtained from grey relational analysis was used to optimize the process parameters. A hybrid method of grey relational analysis and data envelopment analysis for evaluating and selecting efficient suppliers plus a novel ranking method for grey numbers, journal of industrial.
In addition, the classical grey relational analysis method does not study the aggregation and dispersion degree of different series of data. This research proposes a multiple attribute decision making madm method, grey relational analysis gra, for solving this kind of problem. It provides an efficient solution to the uncertainty, multiinput and discrete data problem. Paper open access risk analysis of debris flow based on. Grey relational analysis gra, also called dengs grey incidence analysis model, was. The objective of this paper is to present an integrated approach using the taguchi method tm, grey relational analysis gra and a neural network nn to optimize the weld. Grey relational analysis to determine the optimum process. The researched results can open new prospects for the development and. Taguchi based grey relational analysis for optimization of.
Gra is a kind of effective tool to make system analysis, and also lays a foundation for modelling, forecasting. The grey relational analysis of sluice monitoring data. By introducing the grey relational analysis method, we present its extension and further design a new approach for the plmcgdm. Optimization using grey relational analysis taguchis method is focused on the effective application of engineering strategies rather than advanced statistical techniques.
Using the fuzzy grey relational analysis method in. Grey relational analysis gra method was originally developed by deng 29 and has been widely used to solve the uncertainty problems under the discrete data and incomplete information 29. Complementing the grey relational analysis is the taguchi method that attempts to calculate the. To overcome the shortage of regression analysis and factor analysis, multiattribute method, grey relational analysis gra has been. A grey relational analysis based method article pdf available in expert systems with applications 386. The rating of all alternatives and the weight of each criterion is. This paper uses grey relational analysis gra method in multiple attribute decision making madm problems. An integrated approach to grey relational analysis, analytic. A comparative study of using grey relational analysis in. Preference ranking organization method for enrichment evaluations. Selection of molybdenumfilled hip implant material.