Evaluating Water Reuse Applications under Uncertainty: A Novel Picture Fuzzy Multi Criteria Decision Making Medthod

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Nguyen Xuan Thao 1,*

1. Faculty of Information Technology, Vietnam National University of Agriculture

* Corresponding author.

DOI: https://doi.org/10.5815/ijieeb.2018.06.04

Received: 3 Jul. 2018 / Revised: 10 Aug. 2018 / Accepted: 14 Sep. 2018 / Published: 8 Nov. 2018

Index Terms

Multi-criteria decision-making, picture fuzzy, dissimilarity measure, water reuse


Evaluation of water reuse options is also one of the applications of multi-criteria decision-making (MCDM) problems. In this paper, we refer to a new method for selecting the best water reuse option in the available options by using picture fuzzy MCDM.

Cite This Paper

Nguyen Xuan Thao, "Evaluating Water Reuse Applications under Uncertainty: A Novel Picture Fuzzy Multi Criteria Decision Making Medthod", International Journal of Information Engineering and Electronic Business(IJIEEB), Vol.10, No.6, pp. 32-39, 2018. DOI:10.5815/ijieeb.2018.06.04


[1]K.T. Atanassov (1986). Intuitionistic fuzzy sets. Fuzzy sets and Systems, 20(1): 87-96.
[2]P.W. Bhutia and R. Phipon (2012). Application of AHP and TOPSIS method for supplier selection problem. IOSR Journal of Engineering, 2(10): 43-50.
[3]F.E. Boran, S. Genç, M. Kurt and D. Akay (2009). A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Systems with Applications, 36(8): 11363-11368.
[4]B.C. Cuong and V. Kreinovich (2013). Picture Fuzzy Sets-a new concept for computational intelligence problems. In Information and Communication Technologies (WICT), 2013 Third World Congress on, pp. 1-6.
[5]O. Jadidi, F. Firouzi and E. Bagliery (2010). TOPSIS method for supplier selection problem. World Academy of Science, Engineering and Technology, 47: 956-958.
[6]S. Kavita, P. Yadav and S. Kumar (2009). A multi-criteria interval-valued intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Lecture Notes in Computer Science, 5908: 303-312.
[7]L.H. Son (2015). DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets. Expert systems with applications, 42: 51-66.
[8]L.H. Son (2017). Measuring analogousness in picture fuzzy sets: from picture distance measures to picture association measures. Fuzzy Optimization and Decision Making, pp. 1-20.
[9]M.A. Maldonado, A. Alvarado, J.L. García and C.O. Balderrama (2014). Intuitionistic fuzzy TOPSIS for ergonomic compatibility evaluation of advanced manufacturing technology. The International Journal of Advanced Manufacturing Technology, 70(9-12): 2283-2292.
[10]G.W. Miller (2006). Integrated concepts in water reuse: managing global water needs. Desalination, 187: 65-75.
[11]N.D Hoa and P.H Thong (2017). Some Improvements of Fuzzy Clustering Algorithms Using Picture Fuzzy Sets and Applications for Geographic Data Clustering. VNU Journal of Science: Computer Science and Communication Engineering, 32(3): 32-38.
[12]N.V. Dinh, N.X. Thao and N.M. Chau (2015). On the picture fuzzy database: theories and application. J. Sci, 13(6): 1028-1035.
[13]N.V. Dinh, N.X. Thao and N.M. Chau (2017). Some dissimilarity measures of picture fuzzy set. FAIR’2017, pp. 104-109.
[14]D.E. Omorogbe (2016). A review of intuitionistic fuzzy topsis for supplier selection. AFRREV STECH: An International Journal of Science and Technology, 5(2): 91-102.
[15]Q. Pan, Chhipi-Shrestha, D. Zhou, K. Zhang, K. Hewage and R. Sadiq (2018). Evaluating water reuse applications under uncertainty: generalized intuitionistic fuzzy-based approach. Stochastic Environmental Research and Risk Assessment, 32(4), 1099-1111.
[16]D.L. Pérez., A. Alvarado-Iniesta, I. Rodríguez-Borbón and O. Vergara-Villegas (2015). Intuitionistic fuzzy MOORA for supplier selection. Dyna, 82(191): 34-41.
[17]R. Solanki, G. Gulati, A. Tiwari and Q.M.D. Lohani (2016, July). A correlation based Intuitionistic fuzzy TOPSIS method on supplier selection problem. In Fuzzy Systems (FUZZ-IEEE), 2016 IEEE International Conference on, pp. 2106-2112.
[18]A.Y. Yayla, A. Yildiz and A. Özbek (2012). Fuzzy TOPSIS method in supplier selection and application in the garment industry. Fibres & Textiles in Eastern Europe, 4(93): 20-23.
[19]A. Yildiz, and Yayla A.Y. (2015). Multi-criteria decision-making methods for supplier selection: A literature review. South African Journal of Industrial Engineering, 26(2): 158-177.
[20]L.A. Zadeh (1965). Fuzzy sets. Information and control, 8(3): 338-353.
[21]Zarghami M. and F. Szidarovszky (2009). Stochastic-fuzzy multi criteria decision making for robust water resources management. Stoch Environ Res Risk Assess, 23:329-339.
[22]S. Zeng and Y. Xiao (2016). TOPSIS method for intuitionistic fuzzy multiple-criteria decision making and its application to investment selection. Kybernetes, 45(2): 282-296.