Grey Relation Analysis Method for Material Selection Problem with Interval Numbers

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Material selection is an important step in the product design process. Material selection problem contains many influence factors, and thus it is actually a multi-attribute decision making problem. In some situations, measure values cannot or unsuitable to be depicted by crisp numbers. Interval number is a suitable selection in these situations, and for the material selection problem with interval numbers, a new decision making method is developed based on grey relation analysis method. The attribute weights will be determined by the coefficient of variation method. Finally, a practical example is used to illustrate the effectiveness and feasibility of the proposed method.

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492-496

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July 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. C. Liu, L. X. Mao, Z. Y. Zhang and P. Li. Induced aggregation operators in the VIKOR method and its application in material selection. Applied Mathematical Modelling, Vol. 37 (2013), pp.6325-6338.

DOI: 10.1016/j.apm.2013.01.026

Google Scholar

[2] A. Jahan and K. L. Edwards. Weighting of dependent and target-based criteria for optimal decision making in materials selection process: Biomedical applications. Materials and Design, Vol. 49 (2013), pp.1000-1008.

DOI: 10.1016/j.matdes.2013.02.064

Google Scholar

[3] H. C. Liu, J. X. You, L. Zhen and X. J. Fan. A novel hybrid multiple criteria decision making model for material selection with target-based criteria. Materials and Design, Vol. 60 (2014), pp.380-390.

DOI: 10.1016/j.matdes.2014.03.071

Google Scholar

[4] R. J. Girubha and S. Vinodh . Application of fuzzy VIKOR and environmental impact analysis for material selection of an automotive component. Materials & Design, Vol. 37 (2012), P. 478-486.

DOI: 10.1016/j.matdes.2012.01.022

Google Scholar

[5] A. H. Peng and X. M. Xiao. Material selection using PROMETHEE combined with analytic network process under hybrid environment. Materials and Design, Vol. 47 (2013), pp.643-652.

DOI: 10.1016/j.matdes.2012.12.058

Google Scholar

[6] T. W. Liao. A fuzzy multicriteria decision-making method for material selection. Journal of Manufacturing Systems, Vol. 15 (1996), pp.1-12.

DOI: 10.1016/0278-6125(96)84211-7

Google Scholar

[7] A. S. Milani and A. Shanian. Gear material selection with uncertain and incomplete data. Material performance indices and decision aid model. International Journal of Mechanics and Materials in Design, Vol. 3 (2006), pp.209-222.

DOI: 10.1007/s10999-007-9024-4

Google Scholar

[8] H. C. Liu, L. Liu and J. Wu. Material selection using an interval 2-tuple linguistic VIKOR method considering subjective and objective weights. Materials and Design, Vol. 52, (2013) pp.158-167.

DOI: 10.1016/j.matdes.2013.05.054

Google Scholar

[9] A. Jahan and K. L. Edwards. VIKOR method for material selection problems with interval numbers and target-based criteria. Materials and Design, Vol. 47 (2013), pp.759-765.

DOI: 10.1016/j.matdes.2012.12.072

Google Scholar

[10] J. L. Deng. Introduction of grey system. The Journal of Grey System, Vol. 1 (1989), pp.1-24.

Google Scholar

[11] C. Y. Kung and K. L. Wen. Applying grey relational analysis and grey decision-making to evaluate the relationship between company attributes and its financial performance—A case study of venture capital enterprises in Taiwan. Decision Support Systems, Vol. 43 (2007).

DOI: 10.1016/j.dss.2006.12.012

Google Scholar

[12] M. L. Tseng. Using linguistic preferences and grey relational analysis to evaluate the environment- tal knowledge management capacity. Expert Systems with Applications, Vol. 37 (2010), pp.70-81.

DOI: 10.1016/j.eswa.2009.05.020

Google Scholar

[13] W. S. Lee and Y. C. Lin. Evaluating and ranking energy performance of office buildings using grey relational analysis. Energy, Vol. 36 (2011), pp.2551-2556.

DOI: 10.1016/j.energy.2011.01.049

Google Scholar

[14] Q. Z. Hu and W. H. Zhang. Study and Application of Interval Number Theory. (Science Press, Beijing 2010).

Google Scholar

[15] Y. Zhang and Z. P. Fan. A method for interval multiple attribute decision making with partial attribute weight information, Journal of Harbin Institute of Technology, Vol. 40 (2008), pp.1673-1675.

Google Scholar

[16] Z.S. Xu. Uncertain Multiple Attribute Decision Making Methods and Applications. (Tsinghua University Press, Beijing 2004).

Google Scholar

[17] A. S. Milani, A. Shanian, R. Madoliat and J. A. Nemes. The effect of normalization norms in multiple attribute decision making models: a case study in gear material selection. Structural and Multidisciplinary Optimization, Vol. 29 (2005).

DOI: 10.1007/s00158-004-0473-1

Google Scholar

[18] P. Chatterjee, S. Chakraborty. Material selection using preferential ranking methods. Materials and Design, Vol. 35 (2012), pp.384-393.

DOI: 10.1016/j.matdes.2011.09.027

Google Scholar