A Novel Multi-Criteria Decision Making Method for Evaluating Water Reuse Applications under Uncertainty

Le Thi Nhung 1 and Nguyen Xuan Thao 1

1Faculty of Information Technology, Vietnam National University of Agriculture, Hanoi 131000, Vietnam
Received: Feb 13, 2019 /
Revised: Jul 12, 2021 /
Published: Feb 13, 2019

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Abstract

There are currently many places in the world where water is scarce. Therefore, water reuse has been mentioned by many researchers. Evaluation of water reuse applications is the selection of the best water reuse application of the existing options; it is also one of the applications of multi-criteria decision making (MCDM). In this paper, we introduce a new dissimilarity measure of picture fuzzy sets. This new measure overcomes the restriction of other existing dissimilarity measures of picture fuzzy sets. Then, we apply it to the multi-criteria decision making. Finally, we refer to a new method for selecting the best water reuse application of the available options by using the picture fuzzy MCDM.

Keywords: Multi-criteria decision making, picture fuzzy, water reuse

Article Details

How to Cite
Nhung, L., & Thao, N. (2019). A Novel Multi-Criteria Decision Making Method for Evaluating Water Reuse Applications under Uncertainty. Vietnam Journal of Agricultural Sciences, 1(3), 230-239. https://doi.org/10.31817/vjas.2018.1.3.04

References

    Atanassov K. T. (1986). Intuitionistic fuzzy sets. Fuzzy sets and Systems. Vol 20 (1). pp. 87-96.
    Bhutia P. W. and Phipon R. (2012). Application of AHP and TOPSIS method for supplier selection problem. IOSR Journal of Engineering. Vol 2 (10). pp. 43-50.
    Boran F. E., Genç S., Kurt M. and Akay D. (2009). A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Systems with Applications. Vol 36 (8). pp. 11363-11368.
    Cuong B. C. and Kreinovich V. (2013). Picture Fuzzy Sets-a new concept for computational intelligence problems. In the 3rd World Congress on Information and Communication Technologies (WICT’2013), December 15-18 2013, Hanoi, Vietnam. pp. 1-6.
    Dinh N. V., Thao N. X. and Chau N. M. (2015). On the picture fuzzy database: theories and application. Journal of Science and Development. Vol 13 (6). pp. 1028-1035.
    Dinh N. V., Thao N. X. and Chau N. M. (2017). Some dissimilarity measures of picture fuzzy set. In the 10th Fundamental and Applied IT Research (FAIR’2017), August 17-18, 2017, Danang, Vietnam. pp. 104-109.
    Hoa N. D. and Thong P. H. (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. Vol 32 (3). pp. 32-38.
    Jadidi O., Firouzi F. and Bagliery E. (2010). TOPSIS method for supplier selection problem. World Academy of Science, Engineering and Technology. Vol 47. pp. 956-958.
    Kavita, Yadav S. P. and Kumar S. (2009). A multi-criteria interval-valued intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Lecture Notes in Computer Science. Vol 5908. pp. 303-312.
    Maldonado-Macías A., Alvarado A., García J. L. and Balderrama C. O. (2014). Intuitionistic fuzzy TOPSIS for ergonomic compatibility evaluation of advanced manufacturing technology. The International Journal of Advanced Manufacturing Technology. Vol 70 (9-12). pp. 2283-2292.
    Miller G. W. (2006). Integrated concepts in water reuse: managing global water needs. Desalination. Vol 187. pp. 65-75.
    Omorogbe D. E. A. (2016). A review of intuitionistic fuzzy topsis for supplier selection. AFRREV STECH: An International Journal of Science and Technology. Vol 5 (2). pp. 91-102.
    Pan Q., Chhipi-Shrestha G., Zhou D., Zhang K., Hewage K. and Sadiq R. (2018). Evaluating water reuse applications under uncertainty: generalized intuitionistic fuzzy-based approach. Stochastic Environmental Research and Risk Assessment. Vol 32 (4). pp. 1099-1111.
    Pérez-Domínguez L., Alvarado-Iniesta A., Rodríguez-Borbón I. and Vergara-Villegas O. (2015). Intuitionistic fuzzy MOORA for supplier selection. Dyna. Vol 82 (191). pp. 34-41.
    Solanki R., Gulati G., Tiwari A. and Lohani Q. M. D. (2016). A correlation based Intuitionistic fuzzy TOPSIS method on supplier selection problem. In 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), July 24-29, 2016, Vancouver, Canada. pp. 2106-2112.
    Son L. H. (2015). DPFCM: A novel distributed picture fuzzy clustering method on picture fuzzy sets. Expert Systems with Applications. Vol 42. pp. 51-66.
    Son L. H. (2017). Measuring analogousness in picture fuzzy sets: from picture distance measures to picture association measures. Fuzzy Optimization and Decision Making. Vol 16 (3). pp. 359-378.
    Yayla A. Y., Yildiz A. and Özbek A. (2012). Fuzzy TOPSIS method in supplier selection and application in the garment industry. Fibres and Textiles in Eastern Europe. Vol 4 (93). pp. 20-23.
    Yildiz A. and Yayla A. Y. (2015). Multi-criteria decision-making methods for supplier selection: A literature review. South African Journal of Industrial Engineering. Vol 26 (2). pp. 158-177.
    Zadeh L. A. (1965). Fuzzy sets. Information and Control. Vol 8 (3). pp. 338-353.
    Zarghami M. and Szidarovszky F. (2009). Stochastic-fuzzy multi criteria decision making for robust water resources management. Stochastic Environmental Research and Risk Assessment. Vol 23. pp. 329-339.
    Zeng S. and Xiao Y. (2016). TOPSIS method for intuitionistic fuzzy multiple-criteria decision making and its application to investment selection. Kybernetes. Vol 45 (2). pp. 282-296.