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Sensitivity Analysis of GRA Method for Interval Valued Intuitionistic Fuzzy MADM: The Results of Change in the Weight of One Attribute on the Final Ranking of Alternatives


Poovarasan.V , Sri Vidya Mandir Arts & Science College; John Robinson P, Bishop Heber College


MADM, Attribute weight, IVIFs, Gray relational analysis (GRA) method, sensitivity analysis, Ranking methods


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 are 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 gray relational analysis (GRA) method, by which the attribute weights can be determined. For the special situations where the information about attribute weights are completely unknown, we establish another optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. Then, based on the traditional GRA method, calculation steps for solving an interval-valued intuitionistic fuzzy environment and developed modified GRA method for interval-valued intuitionistic fuzzy multiple attributes decision-making with incompletely known attribute weight information. This paper provides a new method for sensitivity analysis of MADM problems so that by sing it and changing the weights of attributes, one can determine changes in the final results for a decision making problem. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Other Details

Paper ID: IJSRDV2I7083
Published in: Volume : 2, Issue : 7
Publication Date: 01/10/2014
Page(s): 168-173

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