The mean of grey relational grade for each parameter is shown by horizontal line. The six step of grey relational analysis is performed in the following order. Part of the understanding complex systems book series ucs. Evaluation and selection of efficient suppliers is one of the key issues in supply chain management which depends on wide range of qualitative and quantitative criteria. A hybrid method of grey relational analysis and data. A hierarchy grey relational analysis for selecting the. The eight variables involved included language proficiency, test anxiety, selfesteem, achievement motivation, achievement goal, english proficiency test anxiety epta, state anxiety and trait anxiety. Leaf area index lai is an important parameter to evaluate crop growth and crop yield. Grey relational analysis to determine the optimum process. Grey relational analysis is an important task of grey theory by which to scale the similar or different level of development trends among various factors. It defines situations with no information as black, and those with perfect information as white.
Optimization of process parameters using grey relational analysis. Grey relational analysis and its application on multivariate. Grey data analysis methods, models and applications. Research and application for grey relational analysis in. Grey relational analysis 1 is mainly used to conduct a relational analysis of the uncertainty of a system model and the incompleteness of information. Grey relational analysis, optimization, polycrystalline diamond cutting tool, taguchi method, udgfrp. Grey relational space the grey relational space grs i 1, 181 is one that describes the posture rela tionships between one main factor and all the other factors in a given system.
Applying grey relational analysis to the decathlon. Multiobjective optimization of cutting parameters in. Feb 07, 2018 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. Grey relational analysis coupled with principal component analysis for optimization design of the cutting parameters in highspeed end milling. 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.
Doc gray relation and taguchi technique for prediction. Then a response graph of the grey relational analysis is. Enter your mobile number or email address below and well send you a link to download the free kindle app. Pca was used to determine the corresponding weighting values for each performance characteristic to reflect its relative importance in the grey relational analysis. Optimization of the energy efficiency operational indicator. The results are based upon the original data, and the calculations are simple and easy to understand. It was used also for reducing the harmful effects on system. It can generate discrete sequences for the correlation analysis of such sequences with processing uncertainty, multivariable input and discrete data. Grey relational analysis of benefit of surgical management.
Optimal combination of process parameters was then determined by the taguchi method using the grey relational grade as the performance index. Grey relational grade in this analysis indicates the relational degree between every sequences of obtained values. This book was an amazing resource to me on relational psychoanalysis and intersubjectivity while working on my doctorate. Applying grey relational analysis to the decathlon evaluation model leg is studied in order to obtain highest scores. Search inside this book for more research materials. A relationship etiquette study and millions of other books are available for amazon kindle. 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. Greyrelational analysis 1 is mainly used to conduct a relational analysis of the uncertainty of a system model and the incom pleteness of information. Grey relational analysis method of linguistic information. The grey relational analysis gra method was adopted to recommend software vendors.
Taguchigrey relational based multi response optimization. The main purpose of this paper is to propose a new grey relational model pdf 1. Chiou comparing ahpgra with dea to evaluate the performan. In this study, we performed two analyses using the grey relational analysis. Optimization of grinding processes remains as one of the most challenging problems because of its high complexity and nonlinearity. Grey theory is an effective uncertainty knowledge acquisition model, proposed by professor deng. This work may extend the application field of grey relational degree. Novel models of grey relational analysis based on visual. Pdf supplier selection with grey relational analysis. The gra was proposed to optimize the multi response problem by making use of the grey relational coefficient and grey relational grade. The overall evaluation of the multiple performance characteristics is based on the grey relational grade, that is. On the basis of grey relational four axioms, this chapter extends general grey relational degree formula to the case of linguistic term sequence. Oct 07, 20 i need to optimize surface roughness, mrr, tool life, vibration as a single output. The book covers the latest advances in grey information and.
Recently, grey relational analysis gra has been widely applied in analyzing multivariate time series data. In order to get the weight vector of the attribute, we establish an optimization model based on the basic ideal of traditional gray relational analysis gra method, by which the attribute weights can be. It is one of the best methods to help management make decisions under business environment. Then you can start reading kindle books on your smartphone, tablet, or computer no kindle device required. Experimental results indicated that the turning in spray cooling environment was beneficial. Grey sets can be considered as an extension to fuzzy sets by. An analysis of bank service satisfaction based on quantile. Optimization of drilling process on alsic composite using grey relation analysis. In this paper, an inscribed cored grey relational analysis model icgra is constructed by extracting the values of. With grey relational analysis gra, the paper examined the sensitivity of eight variables influencing test performance at branch level.
Grey relational analysis method for multiple attribute decision making in intuitionistic fuzzy setting juchi hou 8 z. Fabric defect detection and classification plays a very import role in automatic inspection for textile. Grey relation analysis method is to translate the performance of all. The results had shown in table 4 the calculated grey relational coefficients singh et al. This study applied the matlab tool box for grey relational analysis to obtain a grey relational grade grg for a bank to represent the level of satisfaction of the bank. Introduction to grey system theory research information ltd. Grey relational coefficients and overall grey relational grade 16.
Basically, the larger the grey relation grade is, the closer will be the product quality to. This paper uses grey relational analysis gra method in multiple attribute decision making madm problems. This article focuses on an approach based on the taguchi method with grey relational analysis for optimizing the process parameters for openend spun yarns with multiple performance characteristics. Section 5 presents the greyrelational analysis in watermarking 3d images. Taguchi l9 methods and grey relational analysis are employed to find the best. Monte carlo simulation, analytical hierarchy process, technique for order preference by similarity to ideal solution, utility concept, grey relational analysis and response surface methodology modelling have been discussed in the following sections. Grey relational analysis method for multiple attribute. The procedures of grey relational analysis are shown in fig. Keywords friction stir welding, grey relational analysis, orthogonal array, grey relational grade, analysis of variance, ultimate tensile strength, microhardness introduction friction stir welding fsw was used for the first time in 1991 for laboratory research work at twi, united kingdom. 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 problems with both crisp and fuzzy data goyal and grover, 2012. Multiobjective optimization of cutting parameters in turning using grey relational analysis pages 547558 download pdf.
Multiobjective optimization of cutting parameters in turning. The largest value of mean grey relational grade was obtained for the composite with mean particle size 6. Oct 27, 2011 gray relational equation here i j is the jth value in. Selection of molybdenumfilled hip implant material using grey relational analysis method. The fabrication process parameters were then optimized using taguchi based grey relational analysis for the multiple mechanical properties of the heat treated mmcs. In a result, the grey relational grade will utilize the discrete. An integrated approach to grey relational analysis.
Ijerph free fulltext a new grey relational analysis model. In contrast with traditional flows, the relationshipbased flow is newly proposed by employing the grey relational analysis to assess the flow from one pattern to another pattern by considering the differences on each criterion between all the other patterns and the latter. For the problem of variety of factors in selection of projects, the introduction the gray relational analysis of the gray system theory, that evaluated the. After obtaining the grey relational coefficient, the grey relational grade is computed by averaging the grey relational coefficient corresponding to each performance characteristic. A comparative study of using grey relational analysis in. Two cases, facility layout and dispatching rules selection problem, which have been analyzed by data envelopment analysis dea, were also analyzed using the gra procedure, in order to illustrate the use. Greyrelational analysis 1 is mainly used to conduct a relational analysis of the uncertainty of a system model and the incompleteness of information. If a comparability sequence translated from an alternative has the highest grey relational grade between the reference sequence and itself, that alternative will be the best choice. A grey relational analysis based approach to the evaluation of brazilian postgraduate programs in master of business administration.
Comparing to regression analysis and factor analysis in. Contains articles from many of the leaders in this new direction. Grey relational analysis gra parametric optimization. Application of grey relational analysis for multivariate. Pdf a grey relational analysis based approach to the evaluation of.
A grs is a binary set denoted by x, t where x is a collection composed of sequences xi to be compared and reference sequence x, r is a map set cal. The traditional grey correlation model cannot effectively identify the volatility and the grey correlation coefficient of trading data. The book includes 12 chapters, covering the introduction to grey systems, a novel framework of grey system theory, grey numbers and their operations, sequence operators and grey data mining, grey incidence analysis models, grey clustering evaluation models, series of gm models, combined grey models, techniques for grey systems forecasting, grey. Section 5 presents the grey relational analysis in watermarking 3d images. Yen 16 studied the interrelationship between defensive and offensive technique and teamwin record through grey relational analysis. The advantages of using the gra method include the followings. A new grey relational analysis model based on the characteristic of inscribed core icgra and its application on sevenpilot carbon trading markets of. Response surface methodology design of experiments analysis explained example using minitab.
Grey relational analysis can be used to represent the grade of correlation between 2 related events in order to measure their differences, and it is an effective and practical tool to compare outcomes of surgical procedures. The use of grey relational analysis in solving multiple. Grey relational analysis in the application of project selection ieee. Monte carlo simulation, analytical hierarchy process, technique for order preference by similarity to ideal solution, utility concept, grey relational analysis and response surface methodology modelling have. 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, discrete and incomplete data grey methods grey relational analysis gra. Optimization of process parameters by taguchi based grey. The core idea is to compare the geometrical similarity between reference data sequence and several comparative data sequences. It is one of the most widely used models of grey system theory. Gra is a kind of effective tool to make system analysis, and also lays a foundation for modelling, forecasting, clustering of grey systems. Grey relational analysis gra, also called dengs grey incidence analysis model, was. The feasibility of applying the objective ahp and gra methods for selecting a spp system vendor differs from that of the subjective methods or group decision methods used by managers with different points of view. Grey relational analysis based on normality grey number 3. Grey relational analysis based on grey relational degree is a very successful theory and.
This research proposes a multiple attribute decision making madm method, grey relational analysis gra, for solving this kind of problem. Up to now, gs theory has been developing a set of theories and techniques including grey mathematics, grey relational analysis, grey modelling, grey clustering, grey forecasting, grey decision making, grey. Grey relation analysis method is to translate the performance of all the alternatives into a comparability sequence. This book inclusively and systematically presents the fundamental methods, models and techniques of practical application of grey data analysis, bringing together the authors many years of theoretical exploration, reallife application.
It mainly focuses on small sample and limited information, which is only known partially. For the so lution o f supplier evaluation problem t he first step is co nstruction o f the norm mat rix. Emmanuel ghent, jessica benjamin, stephen mitchell, stolorow, aron. Optimization of drilling process on alsic composite using. Seasonal fluctuation interference often affects the relational analysis of economic time series. Grey relational analysis coupled with principal component. The present work uses grey relational analysis based approach. Highlights we extend gray relational analysis gra method to investigate the intuitionistic fuzzy multiple attribute decision making problems with incomplete weight information. On the other hand, the relationship between machining parameters and performance can be found in the grey relational analysis gra theory. Grey relational analysis evaluation of digital video recorder. Gray relational equation here i j is the jth value in. Grey relational analysis gra, also called dengs grey incidence analysis model, was developed by a chinese professor julong deng of.
Applying grey relational analysis to the decathlon evaluation. Similar to fuzzy set theory, grey theory is a feasible mathematical means to deal with systems analysis characterized by poor information is lacking. The grey relational coefficient can be calculated as gcij. In this paper, an inscribed cored grey relational analysis model icgra is constructed by extracting the values of the triangle inscribed center of the time series sample. Using the grey relational grade value, the mean of the grey relational grade for each level of different factors, and the total mean of the grey relational grade is summarized in table vi. Journal of materials processing technology, 209, 38083817. Besides that, the grey theory system can be provided an efficient solution to the uncertainty, multiinput and discrete data problem. Grey relational analysis gra parametric optimization metal cutting machining operations. With the use of wavelet transformation and graylevel cooccurrence matrix to extract feature value of nonwoven image, then grey relational analysis of grey theory is availed to conduct the classification of uniformity of nonwoven. A grey relational grade obtained from the grey relational analysis is used to optimize the process parameters.
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, discrete and incomplete data grey methods grey relational analysis gra grey clustering grey statistics. Application of the analytic hierarchy process and grey. Grey relational analysis evaluation of digital video. Pdf a grey relational analysis based approach to the. 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. The purpose of this paper is to solve the problems existing in traditional grey incidence models and advance several new grey incidence models based on visual angle of similarity and nearness. Grey relational analysis method of linguistic information and its. A grey relational grade obtained from grey relational analysis was used to optimize the process parameters.
Grey relational analysis gra has been widely applied in analysing multivariate time series data mts. Gray relational analysis method for intuitionistic fuzzy. 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 methodology in which the attribute weights are completely unknown and the attribute values take the form of fuzzy numbers. A grey relational analysis between some selected affective. This study reveals the multi objective optimization of machining parameters in drilling of sic reinforced with aluminium metal matrix composites through grey. Grey relational analysis method of linguistic information and. It provides an efficient solution to the uncertainty, multiinput and discrete data problem.
Grey relational analysis on bank service satisfaction. Chen had used grey theory to make prediction for those soccer teams who can enter round of. It has drawn more and more researchers attention in recent years and achieved many research results. Grey theory system that means uncertain relationships between the various factors within the system, this system in which part of information is known and another part is unknown. Grey theory and grey relational analysis grey system gs is the system of which part information is known and part information is unknown. Grey relational analysis based on grey relational degree is a very successful theory and method in grey system theory. Optimization of process parameters is done to have great control over quality, productivity and cost aspects of the. Jun 10, 2018 grey relational analysis gra parametric optimization metal cutting machining operations. International journal of the computer, the internet and. Grey relational analysis is a method for quantitatively describing and comparing to the development tendency of a system.
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