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Central University of Tamil Nadu 
T.Miranda Lakshmi, A.Martin, V.Prasanna Venkatesan 
Corresponding Authors:
T.Miranda Lakshmi 
DOI #:
A Study on Influence of Rank Reversal on Weight Methodsin GFTOPSIS by applyingAdding an Alternative and Removing an Alternative Metric 
The International journal of analytical and experimental modal analysis 
Rank Reversal, GFTOPSIS, Weight Methods, Alternative, Metric 
Rank Reversal is one of the important properties of Multi Criteria Decision Making (MCDM) and it should be minimal.In a MCDM method, when an alternative is added or removed then ranking order (user preference) is changed. This characteristic is called as rank reversal. One of the popular MCDM methods is Generalized Fuzzy Technique for Order Preference by Similarity to an Ideal Solution (GFTOPSIS). It applies different process to identify a better alternative. It’s one of the process is assigning weight to criteria by using weight methods. The weights are either positive or negative and it is determined on subjective and objective ways.In order to better understand the influence of weight methods in GFTOPSIS, rank reversal is conducted. It has two properties such as adding an alternative and removing an alternative. To both of these properties metric have been designed and named as adding an alternative (MRL_AD) and removing an alternative (MRL_RM). These metrics are applied on weight methods and impact of rank reversal is measured. Most widely applied weight methods are considered for experimentation. The experimentation results indicate that compared to different weight methods, entropy weight method has minimum value for both of the rank reversal metrics such as MRL_AD and MRL_RM. 
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Martin Aruldoss on 2020-09-03 
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