Comparative Analysis of Normalization Procedures in TOPSIS Method: With an Application to Turkish Deposit Banking Market

In this study, we evaluated the effects of the normalization procedures on decision out- comes of a given MADM method. For this aim, using the weights of a number of attributes calculated from FAHP method, we applied TOPSIS method to evaluate the financial performances of 13 Tur- kish deposit banks. In doing this, we used the most popular four normalization procedures. Our study revealed that vector normalization procedure, which is mostly used in the TOPSIS method by default, generated the most consistent results. Among the linear normalization procedures, max-min and max methods appeared as the possible alternatives to the vector normalization procedure.

[1]  Subrata Chakraborty,et al.  A simulation based comparative study of normalization procedures in multiattribute decision making , 2007 .

[2]  E. Zavadskas,et al.  Multiple criteria decision making (MCDM) methods in economics: an overview , 2011 .

[3]  Mohammed A. Hajeeh,et al.  Application of Fuzzy Multi-Criteria Decision Making in R&D Project Manager Selection , 2013, Int. J. Inf. Technol. Proj. Manag..

[4]  Friedel Peldschus,et al.  The effectiveness of assessments in multiple criteria decisions , 2007 .

[5]  Irfan Ertugrul,et al.  Performance evaluation of Turkish cement firms with fuzzy analytic hierarchy process and TOPSIS methods , 2009, Expert Syst. Appl..

[6]  Selim Zaim,et al.  Analyzing business competition by using fuzzy TOPSIS method: An example of Turkish domestic airline industry , 2011, Expert Syst. Appl..

[7]  Ying-Ming Wang,et al.  Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment , 2006, Expert Syst. Appl..

[8]  C. Hwang,et al.  Fuzzy Multiple Objective Decision Making: Methods And Applications , 1996 .

[9]  A. Kaufmann,et al.  Introduction to fuzzy arithmetic : theory and applications , 1986 .

[10]  Edmundas Kazimieras Zavadskas,et al.  The MOORA method and its application to privatization in a transition economy , 2006 .

[11]  Yi-Hsuan Chen,et al.  A fuzzy MCDM approach for evaluating banking performance based on Balanced Scorecard , 2009, Expert Syst. Appl..

[12]  Prasenjit Chatterjee,et al.  Materials selection using complex proportional assessment and evaluation of mixed data methods , 2011 .

[13]  Yu-Jie Wang,et al.  Applying FMCDM to evaluate financial performance of domestic airlines in Taiwan , 2008, Expert Syst. Appl..

[14]  Jurgita Antucheviciene,et al.  Evaluation of Ranking Accuracy in Multi-Criteria Decisions , 2006, Informatica.

[15]  Cengiz Kahraman,et al.  Fuzzy performance evaluation in Turkish Banking Sector using Analytic Hierarchy Process and TOPSIS , 2009, Expert Syst. Appl..

[16]  Hepu Deng Multicriteria analysis with fuzzy pairwise comparison , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[17]  Yu Jing,et al.  A discussion on Extent Analysis Method and applications of fuzzy AHP , 1999, Eur. J. Oper. Res..

[18]  C. Yeh,et al.  A simulation comparison of normalization procedures for TOPSIS , 2009, 2009 International Conference on Computers & Industrial Engineering.

[19]  D. Chang Applications of the extent analysis method on fuzzy AHP , 1996 .

[20]  Numan Çelebi,et al.  Comparative analysis of multi-criteria decision making methodologies and implementation of a warehouse location selection problem , 2011, Expert Syst. Appl..

[21]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[22]  Alev Taskin Gumus,et al.  Evaluation of hazardous waste transportation firms by using a two step fuzzy-AHP and TOPSIS methodology , 2009, Expert Syst. Appl..

[23]  Chia-Chi Sun,et al.  Using fuzzy TOPSIS method for evaluating the competitive advantages of shopping websites , 2009, Expert Syst. Appl..

[24]  Tien-Chin Wang,et al.  Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment , 2007, Expert Syst. Appl..

[25]  Darius Migilinskas,et al.  Normalisation in the selection of construction alternatives , 2007 .

[26]  Chia-Chi Sun,et al.  A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods , 2010, Expert Syst. Appl..

[27]  Edmundas Kazimieras Zavadskas,et al.  A new additive ratio assessment (ARAS) method in multicriteria decision‐making , 2010 .

[28]  Karel Skokan Technological and Economic Development of Economy , 2011 .

[29]  TzengGwo-Hshiung,et al.  A fuzzy MCDM approach for evaluating banking performance based on Balanced Scorecard , 2009 .

[30]  E. Zavadskas,et al.  Defining the utility and market value of a real estate: A multiple criteria approach , 2007 .

[31]  Chung-Hsing Yeh,et al.  The Selection of Multiattribute Decision Making Methods for Scholarship Student Selection , 2003 .

[32]  E. Zavadskas,et al.  Multiple criteria construction management decisions considering relations between criteria , 2010 .

[33]  Edmundas Kazimieras Zavadskas,et al.  Sustainable city compactness evaluation on the basis of GIS and bayes rule , 2006 .

[34]  Prasenjit Chatterjee,et al.  Material selection using preferential ranking methods , 2012 .

[35]  Shankar Chakraborty,et al.  Applications of the MOORA method for decision making in manufacturing environment , 2011 .

[36]  Cengiz Kahraman,et al.  Application of fuzzy multi-criteria decision making methods for financial performance evaluation of Turkish manufacturing industries , 2012, Expert Syst. Appl..

[37]  E. Zavadskas,et al.  Multi-criteria Optimization System for Decision Making in Construction Design and Management , 2009 .

[38]  Gwo-Hshiung Tzeng,et al.  Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS , 2004, Eur. J. Oper. Res..

[39]  Hepu Deng,et al.  Multicriteria analysis with fuzzy pairwise comparison , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[40]  Leonas Ustinovichius,et al.  Development of Software for Multiple Criteria Evaluation , 2003, Informatica.

[41]  T. Saaty,et al.  The Analytic Hierarchy Process , 1985 .

[42]  Mithat Zeydan,et al.  A combined methodology for supplier selection and performance evaluation , 2011, Expert Syst. Appl..

[43]  Valentinas Podvezko,et al.  MULTICRITERIA EVALUATION OF LITHUANIAN BANKS FROM THE PERSPECTIVE OF THEIR RELIABILITY FOR CLIENTS , 2008 .

[44]  Dubravka M. Pavlicic,et al.  Normalisation affects the results of MADM methods , 2001 .

[45]  E. Zavadskas,et al.  Evaluating the sustainability of vilnius city residential areas , 2007 .

[46]  Jurgita Antucheviciene,et al.  Measuring Congruence of Ranking Results Applying Particular MCDM Methods , 2011, Informatica.

[47]  Gary D. Ferrier,et al.  Consistency Conditions for Regulatory Analysis of Financial Institutions: A Comparison of Frontier Efficiency Methods , 1998 .

[48]  A. Milani,et al.  The effect of normalization norms in multiple attribute decision making models: a case study in gear material selection , 2005 .

[49]  Edmundas Kazimieras Zavadskas,et al.  A New Logarithmic Normalization Method in Games Theory , 2008, Informatica.

[50]  Liping Yu,et al.  Research on Data Normalization Methods in Multi-Attribute Evaluation , 2009, 2009 International Conference on Computational Intelligence and Software Engineering.

[51]  E. Zavadskas,et al.  Optimization of Weighted Aggregated Sum Product Assessment , 2012 .

[52]  Friedel Peldschus,et al.  The analysis of the quality of the results obtained with the methods of multi‐criteria decisions , 2009 .

[53]  Romualdas Ginevičius,et al.  Normalization of quantities of various dimensions , 2008 .