Volume 2, Issue 6, November 2017, Page: 113-119
Choose Best Criteria for Decision Making Via Fuzzy Topsis Method
Muhammad Zulqarnain, Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Fazal Dayan, Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Received: Oct. 10, 2017;       Accepted: Oct. 27, 2017;       Published: Nov. 24, 2017
DOI: 10.11648/j.mcs.20170206.14      View  2271      Downloads  215
Abstract
Multi Criteria Decision Making (MCDM) uses different techniques to find a best alternative from multi-alternative and multi-criteria conditions. TOPSIS is an important practical technique for ranking and selection of different alternatives by using distance measures. Classical TOPSIS uses crisp techniques for the linguistic assessments, but due to imprecise and fuzziness nature of the linguistic assessments, we faced some problems to find out the solution of these problems. We proposed a Fuzzy TOPSIS with its example in this work and use this method for decision making.
Keywords
Fuzzy TOPSIS, Fuzzy Set, Aggregated Fuzzy Decision Matrix, Normalized Fuzzy Decision Matrix, Weighted Normalized Fuzzy Decision Matrix
To cite this article
Muhammad Zulqarnain, Fazal Dayan, Choose Best Criteria for Decision Making Via Fuzzy Topsis Method, Mathematics and Computer Science. Vol. 2, No. 6, 2017, pp. 113-119. doi: 10.11648/j.mcs.20170206.14
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[1]
Hwang C, Yoon K, “Multiple Attribute Decision Making: Methods and Applications”, A State of the Art Survey, 1 (1981).
[2]
Chen S. J. J, Hwang C. L, “Fuzzy Multiple Attribute Decision Making Methods”, 375 (1992).
[3]
Chen, C. T. “Extensions of the TOPSIS for group decision-making under fuzzy environment”, Fuzzy Sets Syst, 114 (1): 1–9 (2000).
[4]
Awasthi A, Chauhan S. S, Goyal S. K, “A multi-criteria decision making approach for location planning for urban distribution centers under uncertainty”, Math. Comput. Model, 53 (1–2): 98–109 (2011).
[5]
Chu, T. C. “Selecting plant location via a fuzzy TOPSIS approach”, Int. J. Adv. Manuf. Techno, 20 (11): 859–864 (2002).
[6]
Yong, D. “Plant location selection based on fuzzy TOPSIS”, Int. J. Adv. Manuf. Technol, 28 (7–8): 839–844 (2006).
[7]
Wang Y. M, Elhag T. M. S, “Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment”, Expert Syst. Appl., 31 (2): 309–319 (2006).
[8]
Dong W. M, Wong F. S, “Fuzzy Weighted Averages and Implementation of the Extension Principle”, 21: 183–199 (1987).
[9]
Mahmoodzadeh S., Shahrabi J., Pariazar M., and Zaeri M. S., “Project selection by using fuzzy AHP and TOPSIS technique”, Int. J. Soc. Manag. Econ. Bus. Eng, 1 (3): 324–329 (2007).
[10]
Yong‐tao T., Shen L., Langston C. and Liu Li., “Construction project selection using fuzzy TOPSIS approach”, J. Model. Manag, 5 (3): 302–315 (2010).
[11]
Zadeh L. A. “The concept of a linguistic variable and its application to approximate reasoning-I”, Inf. Sci. (Ny), 8 (3): 199–249 (1975).
[12]
Saremi H. Q and Montazer G. A, “An application of type-2 fuzzy notions in website structures selection Utilizing extended TOPSIS method”, WSEAS Trans. Comput, 7 (1): 8–15 (2008).
[13]
Chen T. Y., Tsao C. Y, “The interval-valued fuzzy TOPSIS method and experimental analysis”, Fuzzy Sets Syst, 159 (11): 1410–1428 (2008).
[14]
Zulqarnain M. and Saeed M., “An application of Interval valued fuzzy soft matrix (IVFSM) in decision making”, Sci. Int. (Lahore), 28(3): 2261-2264 (2016).
[15]
Zulqarnain M. and Saeed M., “Comparison between fuzzy soft matrix (FSM) and interval valued fuzzy soft matrix (IVFSM) in decision making”, Sci. Int. (Lahore), 28(5): 4277-4283(2016).
[16]
Zulqarnain M. and Saeed M., “A New Decision Making Method on Interval Valued Fuzzy Soft Matrix (IVFSM)”, British Journal of Mathematics & Computer Science, 20(5): 1-17(2017).
[17]
Ashtiani B., Haghighirad F., Makui A. and Ali Montazer G., “Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets”, Appl. Soft Comput. J, 9 (2): 457–461 (2009).
[18]
BOROVIČKA, A. “Fuzzy weights estimation method based on the linguistic expression of criteria relevance Fuzzy weights estimation method based on the linguistic expression of criteria relevance”, (2014).
[19]
Madi E. N., Garibaldi J. M. and Wagner C., “A comparison between two types of Fuzzy TOPSIS Method A comparison between two types of Fuzzy TOPSIS Method”, Res. Gate, (2015).
[20]
Ashrafzadeh M., Rafiei F. M., Isfahani N. M. Zare Z., “Application of fuzzy TOPSIS method for the selection of Warehouse Location”, A Case Study,” Interdiscip. J. Contemp. Res. Bus, 3: 655–671 (2012).
[21]
Cheng D. Y., Chao K. M., Lo C. C. and Tsai C. F., “A user centric service-oriented modeling approach”, World Wide Web. 14 (4): 431–459 (2011).
[22]
Zadeh, L. A. “Fuzzy Sets”, Journal of Information and Control, 8(3): 338-353 (1965).
[23]
B. Sodhi and P. T., “A Simplified Description of Fuzzy TOPSIS” 6–8 (2012).
[24]
R. Gupta, A. Sachdeva, and A. Bhardwaj, “Selection of 3pl service provider using integrated fuzzy delphi and fuzzy TOPSIS” Proc. World Congr. Eng. Comput. Sci, 2 20–22 (2010).
Browse journals by subject