Hybrid Hesitant Fuzzy Multi-Criteria Decision Making Method: A Symmetric Analysis of the Selection of the Best Water Distribution System

Abstract

Every country’s influence and livelihood is centered on that country’s water source. Therefore, many studies are being conducted worldwide to improve and sustain water resources. In this research paper, we have selected and researched the water scheme for groundwater recharge and drinking water supply of drought prone areas. The water project is aimed at connecting the drought prone areas of the three districts of Tamil Nadu to filling up the ponds in their respective villages and raising the ground water level and meeting the drinking water requirement. We have chosen a multi-criteria decision method to select the best alternative in a complex situation. When reviewing the implementation of this water project, many experts and people who will benefit from this project may have some hesitation and ambiguity in their suggestion on choosing the best water distribution system.We believe that the benefits of this project can be fully availed of if we choose a water distribution system. Our contribution in this article is to choose the best water distribution system for this project by use of our proposed multi-criteria decision making (MCDM) methods, hesitant fuzzy standard deviation with multi-objective optimization method by ratio analysis (HFSDV-MOORA), hesitant fuzzy standard deviation with technique, for order preference by similarity to an ideal solution (HFSDV-TOPSIS) and hesitant fuzzy standard deviation with VIsekriterijumsko Kompromisno Rangiranje (HFSDV-VIKOR), which will provide the best solution for improving the water resource for the drought-prone areas of three districts. Finally, we have identified and compared the correlation coefficient between proposed methods. As a result of the study, it has been found that the best water supply system is closed concrete pipes laid along agricultural land through the rural areas.

Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)

“…Narayanamoorthy et al [32] used the standard deviation as an objective weighting method and hesitant fuzzy sets to develop three multi-criteria decision-making approaches: hesitant fuzzy standard deviation with multi-objective optimization method by ratio analysis (HFSDV-MOORA), hesitant fuzzy standard deviation with VIKOR (HFSDV-VIKOR), and hesitant fuzzy standard deviation with TOPSIS (HFSDV-TOPSIS). They applied the proposed approaches to evaluate water distribution systems and improve water resources.…”

A historical review and analysis on MOORA and its fuzzy extensions for different applications

“…Spearman rank correlation was used to determine the degree of similarity among different MCDM methods. Narayanamoorthy et al [ 185 ] evaluated and selected the best water distribution system in three districts of Tamil Nadu, combining hesitant fuzzy standard deviation with different MCDM methods. The hybrid MOORA, VIKOR, and TOPSIS were utilized for sorting available water distribution systems that will be relevant and significant for enhancing the water level in drought-prone areas.…”

Uptake and Dissemination of Multi-Criteria Decision Support Methods in Civil Engineering—Lessons from the Literature

“…Selecting the best water distribution layout in Tamil Nadu (India) was addressed with a fuzzy MOORA-TOPSIS-VIKOR combination applied to five criteria (effectiveness, economic, time, social and environmental) [153]. Decisions relating to upgrading an existing network have been addressed using PROMETHEE and SAW with four criteria relating to (cost, pressure deficits, velocity limits and supply deficits) [154].…”