Application of TOPSIS Method for Decision Making

R. M. Zulqarnain¹ , M. Saeed² , N. Ahmad³ , F. Dayan⁴ , B. Ahmad⁵

1. School of Mathematics, Northwest University, Xian 710127, China.
2. School of Science, Department of Mathematics, University of Management and Technology Lahore, Punjab, Pakistan.
3. Department of Mathematics and Statistics, The University of Lahore, Pakistan.

Correspondence should be addressed to: ranazulqarnain7777@gmail.com, Tel: +86-13028563376.

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.76-81, Apr-2020

Online published on Apr 30, 2020

Copyright © R. M. Zulqarnain, M. Saeed, N. Ahmad, F. Dayan, B. Ahmad . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we discuss the order preference by similarity ideal solution (TOPSIS) method with basic concepts and determine the TOPSIS algorithm. Secondly, we construct a graphical model for the TOPSIS method by using the TOPSIS algorithm. Finally, we use the developed method for decision making in our daily life. In this work, we use the TOPSIS method for the selection of a car by using hypothetical data and examined that the civic is the best automotive car according to given parameters.

Key-Words / Index Term :
Multiple Criteria Decision Making (MCDM), TOPSIS, Positive Ideal Solution (PIS), Negative Ideal Solution (NIS)

References :
[1] C. Hawng, K. Yoon, "Multiple Attribute Decision Making: Methods and Applications," A State of the Art Survey 1. Berlin Heidelberg Springer, 1981.
[2] Y. Bi, D. Lai, H. Yan, “Synthetic evaluation of the effect of health promotion : Impact of a UNICEF project in 40 poor western counties of China,” R. Soc. Public Heal, vol. 124, pp. 376–391, 2010.
[3] I. Chamodrakas, D. Martakos, “A utility-based fuzzy TOPSIS method for energy-efficient network selection in heterogeneous wireless networks,” Appl. Soft Comput. J, vol. 11, no. 4, pp. 3734–3743, 2011.
[4] R. M. Zulqarnain, M. Saeed, B. Ali, N. Ahmad, L. Ali, S. Abdal, “Application of Interval Valued Fuzzy Soft Max-Min Decision Making Method,” International Journal of Mathematical Research, vol. 9, no. 1, pp. 11-19, 2020.
[5] M. Behzadian, S. K. Otaghsara, M. Yazdani, J. Ignatius, “A state-of the-art survey of TOPSIS applications,” Expert Syst. Appl, Vol. 39, no. 17, pp. 13051–13069, 2012.
[6] F. Dayan, M. Zulqarnain, H. Naseer, “A Ranking Method for Students of Different Socio Economic Backgrounds Based on Generalized Fuzzy Soft Sets,” Int. J. Sci. Res, Vol. 6, no. 9, pp. 691–694, 2017.
[7] L. Yang, J. Deuse, “Multiple-attribute decision-making approach for an energy-efficient facility layout design,” Publ. by Elsevier B.V, vol. 3, pp. 149–154, 2012.
[8] G. La, G. Aiello, C. Rastellini, R. Micale, L. Cicalese, “Multi-Criteria Decision Making support system for pancreatic islet transplantation,” Expert Syst. Appl, Vol. 38, no. 4, pp. 3091–3097, 2011.
[9] T. Chen, “A signed-distance-based approach to importance assessment and multi-criteria group decision analysis based on interval type-2 fuzzy set,” Knowl Inf Syst, Vol. 35, pp. 193–231, 2013.
[10] R. Kuo, Y. Wu, T. Hsu, “Integration of fuzzy set theory and TOPSIS into HFMEA to improve outpatient service for elderly patients in Taiwan,” J. Chinese Med. Assoc, Vol. 75, pp. 341–348, 2012.
[11] K. Im, H. Cho, “A systematic approach for developing a new business model using morphological analysis and integrated fuzzy approach,” Expert Syst. Appl, Vol. 40, no. 11, pp. 4463–4477, 2013.
[12] K. K. damghani, S. Sadi-nezhad, M. Tavana, “Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation,” Inf. Sci. (Ny), Vol. 1, 2013.
[13] M. Nakhaeinejad, N. Nahavandi, “An interactive algorithm for multi-objective flow shop scheduling with fuzzy processing time through resolution method and TOPSIS,” Int J Adv Manuf Technol, no. July, 2012.
[14] H. Hosseini, A. S. Milani, “An improvement of quantitative strategic planning matrix using multiple criteria decision making and fuzzy numbers,” Appl. Soft Comput. J, Vol. 12, no. 8, pp. 2246–2253, 2012.
[15] A. Taleizadeh, S. Taghi, A. Niaki, “A hybrid method of Pareto TOPSIS and genetic algorithm to optimize multi- product multi-constraint inventory control systems with random fuzzy replenishments A Hybrid Method of Pareto , TOPSIS and Genetic Algorithm to Optimize Multi-Product Multi-Constr,” Math. Comput. Model, 2009.
[16] L. I. Tong, C. H. Wang, H. C. Chen, “Optimization of multiple responses using principal component analysis and,” Int J Adv Manuf Techno, Vol. 27, pp. 407–414, 2005.
[17] R. A. Krohling, V. C. Campanharo, “Fuzzy TOPSIS for group decision making: A case study for accidents with oil spill in the sea,” Expert Syst. Appl, Vol. 38, no. 4, pp. 4190–4197, 2011.
[18] X. Wang, H. K. Chan, “A hierarchical fuzzy TOPSIS approach to assess improvement areas when implementing green supply chain initiatives,” Int. J. Prod. Res, Vol. 51, no. 10, pp. 3117–3130, 2013.
[19] Y. Kim, E. S. Chung, S. M. Jun, S. U. Kim, “Prioritizing the best sites for treated wastewater instream use in an urban watershed using fuzzy TOPSIS,” Resour. Conserv. Recycl, Vol. 73, pp. 23–32, 2013.
[20] P. Li, H. Qian, J. Wu, J. Chen, “Sensitivity analysis of TOPSIS method in water quality assessment: I. Sensitivity to the parameter weights,” Environ. Monit. Assess, Vol. 185, no. 3, pp. 2453–2461, 2013.
[21] A. Awasthi, S. S. Chauhan, S. K. Goyal, “A multi-criteria decision making approach for location planning for urban distribution centers under uncertainty,” Math. Comput. Model, Vol. 53, no. 1–2, pp. 98–109, 2011.
[22] M. J. Ostad-Ahmad-Ghorabi, M. Attari, “Advancing environmental evaluation in cement industry in Iran,” J. Clean. Prod, Vol. 41, pp. 23–30, 2013.
[23] P. Li, J. Wu, H. Qian, “Groundwater quality assessment based on rough sets attribute reduction and TOPSIS method in a semi-arid area, China,” Env. Monit Assess, Vol. 184, no. Sep, pp. 4841–4854, 2012.
[24] Y. Sun, Z. Liang, C. Shan, H. Viernstein, F. Unger, “Comprehensive evaluation of natural antioxidants and antioxidant potentials in Ziziphus jujuba Mill . var . spinosa ( Bunge ) Hu ex H . F . Chou fruits based on geographical origin by TOPSIS method,” Food Chem, Vol. 124, no. 4, pp. 1612–1619, 2011.
[25] D. Yong, “Plant location selection based on fuzzy TOPSIS,” Int J Adv Manuf Technol, Vol. 28, no. Aug, pp. 839–844, 2006.
[26] S. J. J. C, C. L. Hwang, "Fuzzy Multiple Attribute Decision Making Methods," Springer-Verlag Berlin Heidelberg, Chapter 5, 1992.
[27] R. M. Zulqarnain, S. Abdal, B. Ali, L. Ali, F. Dayan, M. I. Ahamad, Z. Zafar, “Selection of Medical Clinic for Disease Diagnosis by Using TOPSIS Method,” Int. J. Pharm. Sci. Rev. Res, Vol. 61, no. 1, pp. 22-27, 2020.
[28] C. T. Chen, “Extensions of the TOPSIS for group decision-making under fuzzy environment,” Fuzzy Sets Syst, Vol. 114, no. 1, pp. 1–9, 2000.
[29] M. Anisseh, F. Piri, M. Reza, “Fuzzy extension of TOPSIS model for group decision,” Artif Intell Rev, Vol. 38, pp. 325–338, 2012.
[30] L. Dymova, P. Sevastjanov, A. Tikhonenko, “An approach to generalization of fuzzy TOPSIS method,” Inf. Sci. (Ny), Vol. 238, no. February, pp. 149–162, 2013.
[31] S. Rouhani, M. Ghazanfari, M. Jafari, “Evaluation model of business intelligence for enterprise systems using fuzzy TOPSIS,” Expert Syst. Appl, Vol. 39, no. 3, pp. 3764–3771, 2012.
[32] M. Zulqarnain, F. Dayan, “Choose Best Criteria for Decision Making Via Fuzzy Topsis Method,” Math. Comput. Sci, Vol. 2, no. 6, p. 113, 2017.
[33] M. Zulqarnain, F. Dayan, “Selection Of Best Alternative For An Automotive Company By Intuitionistic Fuzzy TOPSIS Method,” Int. J. Sci. Technol. Res, Vol. 6, no. 10, pp. 126–132, 2017.
[34] T. Kaya, C. Kahraman, “Multicriteria decision making in energy planning using a modified fuzzy TOPSIS methodology,” Expert Syst. Appl, Vol. 38, no. 6, pp. 6577–6585, 2011.
[35] F. Cavallaro, “Fuzzy TOPSIS approach for assessing thermal-energy storage in concentrated solar power ( CSP ) systems,” Appl. Energy, Vol. 87, no. 2, pp. 496–503, 2010.
[36] F. Dayan, M. Zulqarnain, “On Generalized Interval Valued Fuzzy Soft Matrices,” Am. J. Math. Comput. Model, Vol. 3, no. 1, pp. 1–9, 2018.
[37] R. M. Zulqarnain, X. L. Xin, B. Ali, S. Abdal, A. Maalik, L. Ali, M. I. Ahamad, Z. Zafar, “Disease identification using trapezoidal fuzzy numbers by Sanchez’s approach,” Int. J. Pharm. Sci. Rev. Res, Vol. 61, no 1, pp. 13-18, 2020.
[38] G. R. Jahanshahloo, F. H. Lotfi, A. R. Davoodi, “Extension of TOPSIS for decision-making problems with interval data : Interval efficiency,” Math. Comput. Model, Vol. 49, no. 5–6, pp. 1137–1142, 2009.
[39] L. Dymova, P. Sevastjanov, A. Tikhonenko, “A direct interval extension of TOPSIS method,” Expert Syst. Appl, no. March, 2013.
[40] Z. Yue, “An extended TOPSIS for determining weights of decision makers with interval numbers,” Knowledge-Based Syst, Vol. 24, no. 1, pp. 146–153, 2011.
[41] M. Zulqarnain, M. Saeed, “A New Decision Making Method on Interval Valued Fuzzy Soft Matrix (IVFSM),” Br. J. Math. Comput. Sci, Vol. 20, no. 5, pp. 1–17, 2017.
[42] M. Zulqarnain, M. Saeed, “An Application of Interval Valued Fuzzy Soft Matrix in Decision Making Problem,” Sci. Int, Vol. 28, no. 3, pp. 2261–2264, 2016.
[43] M. Zulqarnain, M. Saeed, M. F. Tbassum, “Comparison Between Fuzzy Soft Matrix (FSM) and Interval Valued Fuzzy Soft Matrix (IVFSM) in Decision Making,” Sci. Int, Vol. 28, no. 5, pp. 4277–4283, 2016.
[44] M. S. Mahmoodzadeh, J. Shahrabi, M. Pariazar, “Project selection by using a fuzzy AHP and topsis technique,” World Acad. Sci. Eng. Technol, Vol. 1, no. 6, pp. 270–275, 2007.
[45] M. Velasquez, P. T. Hester, “An Analysis of Multi-Criteria Decision Making Methods,” Int. J. Oper. Res, Vol. 10, no. 2, pp. 56–66, 2013.
[46] D. Li, “Extension of the TOPSIS for multi-Attribute group Decision making under Atanassov IFS environments,” Int. J. Fuzzy Syst. Appl, Vol. 1, no. 4, pp. 47–61, 2011.
[47] R. M. Zulqarnain, S. Abdal, A. Maalik, B. Ali, Z. Zafar, M. I. Ahamad, S. Younas, A. Mariam, F. Dayan., “Application of TOPSIS Method in Decision Making Via Soft Set,” Biomed. J. Sci. Tech. Res, Vol. 24, no. 3, pp. 18208–18215, 2020.
[48] M. Sevkli, S. Zaim, A. Turkyılmaz, M. Satır, “An Application of Fuzzy Topsis Method for Supplier Selection,” IEEE Int. Conf. Fuzzy Syst, no. July, 2010.
[49] M. Zulqarnain, F. Dayan, M. Saeed, “TOPSIS Analysis for The Prediction of Diabetes Based on General Characteristics of Humans,” Int. J. Pharm. Sci. Res, Vol. 9, no. 7, pp. 2932-2939, 2018.
[50] S. Eraslan, “A Decision Making Method via TOPSIS on Soft Sets,” J. New Results Sci, Vol. 8, pp. 57–71, 2015.
[51] D. Y. Cheng, K. M. Chao, C. C. Lo, C. F. Tsai, A user centric service-oriented modeling approach, Vol. 14, no. 4. 2011.
[52] M. R. Fathi, H. Zarei Matin, M. Karimi Zarchi, S. Azizollahi, “The Application of Fuzzy TOPSIS Approach to Personnel Selection for Padir Company, Iran,” J. Manag. Res., Vol. 3, no. 2, pp. 1–14, 2011.
[53] E. Triantaphyllou, B. Shu, S. N. Sanchez, T. Ray, “Multi-Criteria Decision Making : An Operations Research Approach,” Encycl. Electr. Electron. Eng, Vol. 15, no. February, pp. 175–186, 1998.
[54] W. Sa, “The mean error estimation of TOPSIS method using a fuzzy reference models,” J. Theor. Appl. Comput. Sci, Vol. 7, no. 3, pp. 40–50, 2013.