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Journal ArticleDOI

The use of grey relational analysis in solving multiple attribute decision-making problems

01 Aug 2008-Computers & Industrial Engineering (Pergamon Press, Inc.)-Vol. 55, Iss: 1, pp 80-93
TL;DR: Comparisons show that GRA is efficient for solving MADM problem, which involves picking the best from among multiple available alternatives for all performance attributes.
About: This article is published in Computers & Industrial Engineering.The article was published on 2008-08-01. It has received 797 citations till now. The article focuses on the topics: Grey relational analysis & Decision problem.
Citations
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Journal ArticleDOI
TL;DR: The goal of this paper is to propose an approach to resolve disagreements among MCDM methods based on Spearman's rank correlation coefficient, and the experimental results prove that the proposed approach can resolve conflicting M CDM rankings and reach an agreement among different MCDm methods.
Abstract: Classification algorithm selection is an important issue in many disciplines. Since it normally involves more than one criterion, the task of algorithm selection can be modeled as multiple criteria decision making (MCDM) problems. Different MCDM methods evaluate classifiers from different aspects and thus they may produce divergent rankings of classifiers. The goal of this paper is to propose an approach to resolve disagreements among MCDM methods based on Spearman's rank correlation coefficient. Five MCDM methods are examined using 17 classification algorithms and 10 performance criteria over 11 public-domain binary classification datasets in the experimental study. The rankings of classifiers are quite different at first. After applying the proposed approach, the differences among MCDM rankings are largely reduced. The experimental results prove that the proposed approach can resolve conflicting MCDM rankings and reach an agreement among different MCDM methods.

490 citations

Journal ArticleDOI
TL;DR: The analytic network process (ANP) is used to deal with the interdependencies among the criteria, and the traditional Grey relational analysis (GRA) has been modified to better address the uncertainties inherent in supplier selection decisions.

430 citations


Cites background from "The use of grey relational analysis..."

  • ...Since the traditional GRA addresses uncertainty by considering deterministic numbers (Kuo et al., 2008; Lee and Lin, 2011; Tseng, 2010), an improved GRA with the ability to address interval numbers is presented in this paper....

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Journal ArticleDOI
TL;DR: Ranking of objects and determination of their optimality are determined by applying TOPSIS grey and COPRAS‐G methods with attributes values determined at intervals, and key findings of the analysis are presented.
Abstract: The paper presents risk assessment of construction projects The assessment is based on the multi‐attribute decision‐making methods The risk evaluation attributes are selected taking into consideration the interests and goals of the stakeholders as well as factors that have influence on the construction process efficiency and real estate value Ranking of objects and determination of their optimality are determined by applying TOPSIS grey and COPRAS‐G methods with attributes values determined at intervals A background and a description of the proposed model are provided and key findings of the analysis are presented

420 citations


Cites methods from "The use of grey relational analysis..."

  • ...(1) The use of grey relational analysis in solving multiple attribute decision-making problems is analysed by Kuo et al. (2008) and Cakir (2008)....

    [...]

Journal ArticleDOI
Guiwu Wei1
TL;DR: An optimization model based on the basic ideal of traditional grey relational analysis (GRA) method is established, by which the attribute weights can be determined, and an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
Abstract: The aim of this paper is to investigate the multiple attribute decision-making problems with intuitionistic fuzzy information, in which the information about attribute weights is incompletely known, and the attribute values take the form of intuitionistic fuzzy numbers. In order to get the weight vector of the attribute, we establish an optimization model based on the basic ideal of traditional grey relational analysis (GRA) method, by which the attribute weights can be determined. Then, based on the traditional GRA method, calculation steps for solving intuitionistic fuzzy multiple attribute decision-making problems with incompletely known weight information are given. The degree of grey relation between every alternative and positive-ideal solution and negative-ideal solution are calculated. Then, a relative relational degree is defined to determine the ranking order of all alternatives by calculating the degree of grey relation to both the positive-ideal solution (PIS) and negative-ideal solution (NIS) simultaneously. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

407 citations

Journal ArticleDOI
TL;DR: The results of the proposed research could help top management in taking strategic level decision making with respect to selection of suppliers in a resilient supply chain.

322 citations

References
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Book
15 Jul 1994
TL;DR: Scheduling will serve as an essential reference for professionals working on scheduling problems in manufacturing and computing environments and Graduate students in operations management, operations research, industrial engineering and computer science will find the book to be an accessible and invaluable resource.
Abstract: This book on scheduling covers theoretical models as well as scheduling problems in the real world. Author Michael Pinedo also includes a CD that contains slide-shows from industry and movies dealing with implementations of scheduling systems. The book consists of three parts. The first part focuses on deterministic scheduling with the associated combinatorial problems. The second part covers probabilistic scheduling models. In this part it is assumed that processing times and other problem data are not known in advance. The third part deals with scheduling in practice. It covers heuristics that are popular with practitioners and discusses system design and development issues. Each chapter contains a series of computational and theoretical exercises. This book is of interest to theoreticians and practitioners alike. Graduate students in operations management, operations research, industrial engineering and computer science will find the book to be an accessible and invaluable resource. Scheduling will serve as an essential reference for professionals working on scheduling problems in manufacturing and computing environments. Michael Pinedo is the Julius Schlesinger Professor of Operations Management at New York University.

6,209 citations

Journal ArticleDOI
TL;DR: In this paper, the stability and stabilization of a grey system whose state matrix is triangular is studied and the displacement operator and established transfer developed by the author are the indispensable tool for the grey system.

3,463 citations

Book
31 Jul 1995
TL;DR: In this article, the authors present DEA Software Packages for the U.S. Airline Industry and present a Spatial Efficiency Framework for the Support of Locational Decision (SELF).
Abstract: Preface G. Kozmetsky. Part I: Concepts, Models & Computation. 1. Introduction. 2. Basic DEA Models. 3. Extensions to DEA Models. 4. Computational Aspects of DEA A. Iqbal Ali. 5. DEA Software Packages. Part II: Novel Applications. 6. Evaluating the Impacts of Operating Strategies on Efficiency in the U.S. Airline Industry R.D. Banker, H.H. Johnston. 7. Analyzing Technical and Allocative Efficiency of Hospitals P. Byrnes, V. Valdmanis. 8. A Multi Period Analysis of Market Segments and Brand Efficiency in the Competitive Carbonated Beverage Industry A. Charnes, W.w. Cooper, B. Golanyi, F.Y. Phillips, J.J. Rousseau. 9. Exploring why Some Physicians' Hospital Practices are More Efficient: Taking DEA Inside the Hospital J. Chilingerian. 10. On the Measurement and Monitoring of Relative Efficiency of Highway Maintenance Patrols W.D. Cook, A. Kazakov, Y. Roll. 11. Strategic Leaders in the U.S. Brewing Industry: a Longitudinal Analysis of Outliers D. Day, A.Y. Lewin, R. Salazar, Hongyu Li. 12. A Spatial Efficiency Framework for the Support of Locational Decision A. Desai, K. Haynes, J. Storbeck. 13. Productivity Developments in Swedish Hospitals: a Malmquist Output Index Approach R. Fare, S. Grosskopf, B. Lindgren, P. Roos. 14. Ownership Type, Property Rights and Relative Efficiency G. Ferrier. 15. A Comparative Analysis of Ferry Transport in Norway F.R. Forsund, E. Hernaes. 16. Incorporating Standards via Data Envelopment Analysis B. Golany, Y. Roll. 17.Stratified Models of Education Production Using Modified DEA and Regression Analysis C.A. Knox Lovell, L.C. Walters, L.L. Woods. 18. The Problems of New and Disappearing Commodities in the Construction of Price Indexes C.A. Knox Lovell, K.D. Zieschang. 19. Evaluating the Relative Efficiency of Baseball Players? M.J. Mazur. 20. Sensitivity Analysis of Efficiency Measures with Applications to Kansas Farming and Illinois Coal Mining R. Thompson, P.S. Dharmapala, R.M. Thrall. Part III: Epilogue: Process and Bibliography. 21. The DEA Process, Usages and Interpretations. 22. DEA Bibliography L.M. Seiford. References. Index.

2,773 citations

Book
01 Jan 1995
TL;DR: Introduction Attribute Generation, Data and Weight Noncompensatory Methods Scoring Methods TopSIS ELECTRE Methods for Qualitative Data Extensions are presented.
Abstract: Introduction Attribute Generation, Data and Weight Noncompensatory Methods Scoring Methods TOPSIS ELECTRE Methods for Qualitative Data Extensions

1,497 citations

Journal ArticleDOI
TL;DR: The purpose of this paper is to briefly trace the evolution of DEA from the initial publication by Charnes et al. (1978b) to the current state of the art (SOA).
Abstract: The purpose of this paper is to briefly trace the evolution of DEA from the initial publication by Charnes et al. (1978b) to the current state of the art (SOA). The state of development of DEA is characterized at four points in time to provide a perspective in both directions—past and future. An evolution map is provided which illustrates DEA growth during the 17-year period, the timing of the major events, and the interconnections and influences between topics. An extensive DEA bibliography is provided.

836 citations