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A Multi-Criteria Group Decision Making Methodology Using Interval Type-2 Fuzzy Sets: Application to Water Resources Management

Author

Listed:
  • Ehsan Pourmand

    (K. N. Toosi University of Technology)

  • Najmeh Mahjouri

    (K. N. Toosi University of Technology)

  • Maryam Hosseini

    (K. N. Toosi University of Technology)

  • Farzaneh Nik-Hemmat

    (Shahid Chamran University)

Abstract

In this paper, a new fuzzy group decision-making methodology which determines and incorporates negotiation powers of decision makers is developed. The proposed method is based on a combination of interval type-2 fuzzy sets and a multi-criteria decision making (MCDM) model, namely TOPSIS. To examine the applicability of the proposed methodology, it is used for finding the best scenario of allocating water and reclaimed wastewater to domestic, agricultural, and industrial water sectors and restoring groundwater quantity and quality in the Varamin region located in Tehran metropolitan area in Iran. The results show that the selected scenario leads to an acceptable groundwater conservation level during a long-term planning horizon. Although the capital cost of this scenario is high, which leads to groundwater restoration during the 34-year planning horizon, it is determined as the best allocation scenario. This scenario also entails the second least pumping cost, due to less water allocation from the groundwater. To evaluate the results of the proposed methodology, they are compared with those obtained using some well-known interval type-2 decision-making approaches including arithmetic-based, TOPSIS-based, and likelihood-based comparison methods. The Spearman correlation coefficient shows that the obtained results generally concur with those of the other methods. It is also concluded that the proposed methodology gives more reasonable results by calculating and considering the negotiation powers of decision makers in an extended TOPSIS-based group decision-making model.

Suggested Citation

  • Ehsan Pourmand & Najmeh Mahjouri & Maryam Hosseini & Farzaneh Nik-Hemmat, 2020. "A Multi-Criteria Group Decision Making Methodology Using Interval Type-2 Fuzzy Sets: Application to Water Resources Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(13), pages 4067-4092, October.
    • Handle: RePEc:spr:waterr:v:34:y:2020:i:13:d:10.1007_s11269-020-02657-7
    DOI: 10.1007/s11269-020-02657-7
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    Citations

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    Cited by:

    1. Aleksandar Aleksić & Danijela Tadić, 2023. "Industrial and Management Applications of Type-2 Multi-Attribute Decision-Making Techniques Extended with Type-2 Fuzzy Sets from 2013 to 2022," Mathematics, MDPI, vol. 11(10), pages 1-24, May.
    2. Zoran Štirbanović & Vojka Gardić & Dragiša Stanujkić & Radmila Marković & Jovica Sokolović & Zoran Stevanović, 2021. "Comparative MCDM Analysis for AMD Treatment Method Selection," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(11), pages 3737-3753, September.
    3. Radhikesh Kumar & Maheshwari Prasad Singh & Bishwajit Roy & Afzal Hussain Shahid, 2021. "A Comparative Assessment of Metaheuristic Optimized Extreme Learning Machine and Deep Neural Network in Multi-Step-Ahead Long-term Rainfall Prediction for All-Indian Regions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(6), pages 1927-1960, April.
    4. Mahmud, Priom & Ahmed, Mushaer & Janan, Farhatul & Xames, Md Doulotuzzaman & Chowdhury, Naimur Rahman, 2023. "Strategies to develop a sustainable and resilient vaccine supply chain in the context of a developing economy," Socio-Economic Planning Sciences, Elsevier, vol. 87(PB).
    5. Muhammad Bin Nisar & Syyed Adnan Raheel Shah & Muhammad Owais Tariq & Muhammad Waseem, 2020. "Sustainable Wastewater Treatment and Utilization: A Conceptual Innovative Recycling Solution System for Water Resource Recovery," Sustainability, MDPI, vol. 12(24), pages 1-17, December.
    6. Xiaojing Shen & Xu Wu & Xinmin Xie & Chuanjiang Wei & Liqin Li & Jingjing Zhang, 2021. "Synergetic Theory-Based Water Resource Allocation Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(7), pages 2053-2078, May.

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