1. Introduction
Decision making identifies the problem, proposes alternatives to address identified problems, evaluates these alternatives, and finally selects the best option to carry out the offered solution [
1,
2,
3,
4]. Several multicriteria decision-making (MCDM) techniques are available, including the analytical hierarchical process (AHP) and the analytical network process (ANP) [
5], data envelopment analysis (DEA), the technique for order of preference by similarity to ideal solutions (TOPSIS) [
6], fuzzy decision making [
7], and intuitionistic fuzzy sets (IFSs) [
8]. Saeed et al. [
9,
10,
11] worked on solid waste management strategies, the evaluation of strategic procurement techniques for fuel cell and hydrogen components, tuberculosis disease prognosis, and proposed potential treatment methods.
Water is precious and essential for human survival and progress in agriculture, sanitation, and the economy. Both temporal and regional disparities in water availability have contributed to simultaneous floods and drought in different places on the planet. Case studies involve floods in Southeast Spain in 1997 [
12], droughts in Papua New Guinea (PNG) in 1997 [
13], floods in South France in 2003 [
14], and droughts in South Africa in 2003 [
15], as well as, of course, floods in the Northeast Iberian Peninsula in 2000 [
16] and droughts in the Amazon River basin in 2005 [
17].
China’s ability to store total freshwater resources is massive, around 2.8 trillion
, ranking it sixth in the world [
18]. However, according to the Ministry of Water Resources (MWR), resources of fresh water per capita in China are 2100
, which is
of the global average and far below the per capita average number (7831
). As a result, the lack of water remains a major issue in China, particularly in Northwest China, which covers large areas of arid regions. China accounts for 33% of the total land area comprising six regions, but it only accounts for
of total water resources. Furthermore, Northwest China is one of the essential glacier and snow field areas, with the largest glacier and surface area of 1.74
located here [
19]. Many freshwater resources are solidified and difficult to utilize, inflaming the water resources in Northwest China. Previous studies have shown that Northwest China has one of the world’s highest water resource pressures. The Budyko aridity index (BAI), which measures climate dryness, is greater than 3.0 in this province, revealing that it is one of the world’s driest basins [
20]. Annual precipitation in Northwest China ranges from 40 mm to 600 mm [
21,
22], with an annual potential evaporation of 1500–3000 mm [
23]. As a major wheat- and cotton-producing region, this area spends 41.58% of its entire water consumption on agricultural irrigation, despite its low precipitation and high evaporation [
24]. Irrigation water supply is crucial for economic development and food security in Northwest China. Xinjiang Uygur region, the largest province in China, relies solely on irrigation to advance its agricultural sector [
25]. According to a study conducted from 1989 to 2010, [
26], the months with the greatest temporal variation in demand for irrigation water are July and August. When comparing water availability and demand, the most crucial stage of water supply occurred between April and May from 1989 to 2010.
On the other hand, humans find it extremely difficult to change the total volume of available freshwater. Efforts to improve the efficiency with which water is used may be a viable option. Dam construction is one of the most common methods for achieving the goals above because it collects and redistributes water for application fields such as irrigation, domestic consumption, industrial use, and aquaculture, but it also generates electricity via hydropower. Knowing whether or not the Chinese government endorses water initiatives like dam building is crucial because of the government’s outsized influence in the country. The Ministry of Water Resources (2014) states that from 2008–2014, the Chinese government invested CNY 108.82 billion on hydrological projects, rising to CNY 408.31 billion in 2014. Local and federal governments together accounted for 88.4% of all spending in 2014. Thus, the Chinese government considers managing water resources crucial. The government also promotes dam construction in appropriate locations in response to water usage demand. Aside from Chinese government support, water resource availability is an essential priority for dam construction. In terms of precipitation amount, the environment is becoming more appropriate for groundwater harvesting as precipitation in Northwest China has enhanced over the last 50 years (Ref. [
27]), and forecasting for future precipitation under different scenarios has also increased in Northwest China [
28].
The biggest challenge for any organization is to identify potential dam locations. To assist decision makers in selecting the ideal location for a dam, we developed a hybrid model for dam site selection using a fuzzy hypersoft set and a plithogenic multipolar fuzzy hypersoft set. The considered hybrid method is more efficient and less time-costly. Professionals and researchers can use this methodology for other complex phenomena more quickly and efficiently.
Zadeh [
29] proposed fuzzy sets as additional data of classical type. The concept of a theory of fuzzy sets has numerous applications. Domains with insufficient or incomplete information, such as members of a set, are permitted in bio-informatics fuzzy set logics to have a moderate view of membership, as explained by the actual unit interim [0, 1]. The membership function was admired. Molodtsov introduced the soft set [
30] as a mathematical technique for dealing with uncertainties that are free of the issues that have plagued existing theoretical approaches to dealing with uncertainties. Soft set theory research is advancing at a rapid pace right now. Chen [
31] investigated the concept of fuzzy set similarity measure, which Maji et al. [
32] found to be ineffective in trading a parametric model with unpredictability. He discovered strains and issues in mathematical representations and proposed a soft set theory to address the problems. Saeed et al. [
33] explained a fuzzy soft set with its application in multiattribute decision making. The authors of [
34] introduced the concept of intuitionistic fuzziness, which also plays an important role in the fuzzy soft set. The authors of [
35] proposed using fuzzy numbers in the mobile selection. Saeed and Majid [
36] developed a hybrid model for donations to deserving and right candidates using a multipolar interval-valued neutrosophic soft set. Abdel-Basset [
37,
38] has written articles on medical disease diagnosis using a neutrosophic imaging environment. Alamri et al. [
39] worked on the hybrid entropy-based economic evaluation of hydrogen generation techniques using multicriteria decision making. Jafar et al. [
40] worked on distance and similarity measures using max–min operators of neutrosophic hypersoft sets with applications in site selection for solid waste management systems. The authors of [
41,
42,
43,
44] produced several interesting results in the framework of generalized fuzzy sets and presented several applications on multicritera decision making.
However, due to its size, Northwest China’s geography can only be characterized through extremely large data sets, which may take too long to process. Therefore, the Bortala region in Northwest China, a more manageable area of about 25,000 , was selected as the subject location for this investigation.
1.1. Aim of this Study
This article aims to identify potential dam locations in the Bortala region of Northwest China to assist decision makers in determining the best location for a dam(s). The environmental circumstances will largely determine the best locations for dams and the irrigation water supply as their primary purpose. In addition to the study’s main goal, several other goals must be met:
The construction of a suitability map based on the feasibility of building a dam using several parameters.
The suggestion of places that would make good dams.
Computing cross sections and other properties, such as reservoir volume, dam height, and dam breadth, of potential dam locations.
A hybrid of a fuzzy hypersoft set and a pathogenic multipolar fuzzy hypersoft set being applied to the problem of choosing a dam.
1.2. Research Area
The study area is the Bortala Mongoll (Bortala for short) and Xinjiang Uygur (Xinjiang for short). Northwest China has an area of approximately 27,000
and a population of 0.4 million.
Figure 1 represents the location of the research area.
Bortala is located in the Jungar Basin of the southwestern section, between two mountain ranges: the Northwest Bortala and the Southwest Bortala. Bortala is a border area in Northwest China, as illustrated in
Figure 1. It shares a 385 km international border with Kazakhstan to the west and north (Wikipedia 2016). Inside Bortala are two big closed lakes: Sayram lake with fresh water and Ebi-Nur Lake with salt water.
According to the Köppen–Geiger climate classification (Climate-Data.Org 2016), Bortala has an arid climate, also known as a desert climate. Furthermore, 271 of the 431 cities in Xinjiang Province have desert climate records (Climate-Data.Org 2016), indicating that desert climate is the dominant climate type in the province. As a result, the weather in Bortala is typical of Xinjiang Province. Bortala’s average annual temperature has been 7.4
C since 1982, and the average precipitation has been 192 mm (Climate-Data.Org 2016). According to research on climate change from 1960 to 2006, the annual temperature of Bortala prefecture climbed from 1960 to 2006 [
45], and the amount of precipitation in the prefecture enhanced and has been growing since 1980 [
46].
Approximately 54% of the prefecture’s agricultural output comes from cotton fields near Bortala. Research conducted in the dry region of Northwest China between 1989 and 2010 found that the demand for irrigation water increased throughout the study, primarily due to an increase in cotton-cultivated areas requiring more irrigation water than other crops [
26].
1.3. Literature Review
The application of any multicriteria decision-making (MCDM) method begins with formulating a decision matrix that represents the performance of alternatives concerning a set of conflicting criteria. Despite over 30 (MCDM) tools, prior researchers in decision-making problems, such as dam site selection, have provided concise introductions to some of these methods. The mathematical formulations of the different (MCDM) tools are available in [
47,
48,
49]. Real-world decision making is often challenging due to the complexity of reality, and (MCDM), designed to handle decisions in the presence of conflicting criteria [
50], emerges as a viable solution. The location of a dam is a challenging subject since it impacts and influences a wide range of environmental and societal elements. Dams, on the other hand, can be built for a variety of causes, resulting in a greater range of factors and effects. Numerous publications have been published on the topic of the dam site, employing multiple criteria and measuring the effects of each criterion using diverse approaches.
Lee et al. [
51] presents a model for addressing multicriteria decision-making problems. The proposed model integrates the fuzzy analytic network process (FANP) and fuzzy goal programming (FGP). FANP allows for the consideration of diverse factors in China. A water-saving ecological check dam site optimization model (WCSOM) was created, incorporating novel water-saving factors. This model was then utilized to optimize the selection of check dam sites in the Sijiagou Basin, China [
52]. In 2013, in central Iran, research was carried out to determine the optimal places for underground dams that store groundwater beneath the surface in conjunction with aqueducts using a geographic information system (GIS) [
45]. In the same study region [
53], the same research team created and executed a decision-making system of support for the selection of dam sites that includes the fuzzy (AHP) and (VIKOR) technique for (MCDM) in 2015. In Western Iran, site selection of a dam and comparative study of the (AHP) and (TOPSIS) [
54] were conducted. A study was conducted in Northwest Saudi Arabia to determine the best dam location using a combination of (GIS) and (RS) techniques [
55].
The four parameters employed in the Northwest Saudi Arabia example to establish the ideal dam site location were the catchment slope, land cover type, soil types, and rate of soil infiltration [
56]. In Western Iran, the nine types of criteria and eleven subcriteria are recognized as the most important aspects for identifying the dam site [
57].
In the Western Iran instance from 2015, 18 parameters were analyzed for the better dam site decision, resource access, economic growth, and overall cost, with dam site health, annual yield, topography, facility development, economic growth, water quality, dam body and reservoir damage, river flow regime, reservoir volume, water diversion and transfer, the annual volume of sediment, the likelihood of dam break, the likelihood of average annual evaporation, social impacts, environmental impacts, maximum flood, and political impacts all taken into account. Even if all of the research, as mentioned earlier, concentrates more on the features of dam construction, some studies focus more on the repercussions of dam construction. The surface area of the reservoir, time that water is held in the reservoir, river length impounded, river length left dry, biomass flooded, number of the downstream tributaries, access roads through the forests, likelihood of reservoir stratification, people requiring the relocation, and critical natural habitats impacted are all examples of such indicators. This list was taken from a research paper published in 2003 [
58].
Since the goals of decision makers might range from high consumption (as in the case of the Three Gorges Dam) to very low usage (as in the case of irrigation or aquaculture in very small towns), it is challenging to specify a set of criteria for selecting a dam site in general. Meanwhile, local factors regarding the environment and human civilization and decision makers’ preferences for speedy or sustainable development create problems in a wide range of dam site selection criteria. However, some conditions and fundamental guidelines exist for secure dam construction, such as hydrology and slope.
1.4. Multicriteria Decision Making
Making decisions in the real world can be challenging due to the complexity of reality. Multicriteria decision making (MCDM) is a potential solution, addressing decision-making challenges when eligibility criteria often conflict with each other [
59]. The 1950s and 1960s saw the development of the most recent MCDM foundations. The initial suggestion for the (MCDM) abbreviation appeared in the late 1970s [
60]. Complex issues can be broken down into smaller, simpler components that are easier to measure or appraise utilizing (MCDM). There is no single (MCDM) approach that can be applied step by step. Instead, many other approaches to (MCDM) are suggested. The fuzzy hypersoft set and plithogenic fuzzy hypersoft set are the most prevalent in making decisions.
1.5. Structure of Paper
Basic mathematical definitions related to the proposed study are revised in
Section 2.
Section 3 deals with a case study problem corresponding to the desired situation. The article’s conclusion and future work are depicted in the
Section 4.