The water quality evaluation model was built based on the logic of fuzzy theory. Quality
monitored data from a catchment area in a developing city has been applied for testing the
results and compared to other regular method, Vietnam national water quality index. The results
of the two methods show parallels and this in turn shows that fuzzy evaluation method is both
applicable and practical. Fuzzy evaluation method also has the advantage of handling an
unlimited number of quality indicators. Nevertheless fuzzy method should be further researched
for more precise membership functions and limiting the uncertainty of the weights.
On the other hand, only nine specific parameters are tested in Water Quality Index method,
which can limit the result if other quality parameters are applied to evaluate the water. Also,
applying experimental equations in assessing the quality of the water could not be applicable for
specific region, particularly in a complex and developing city, such as Ho Chi Minh City.
Therefore, an integrated method combining Water Quality Index and Fuzzy approach
should be further researched to take advantages of the two methods and precise quality
evaluation.
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Journal of Science and Technology 54 (4B) (2016) 232-239
INTEGRATED EVALUATION MODEL
FOR SURFACE WATER QUALITY
A CASE STUDY IN HO CHI MINH CITY, VIETNAM
Thu Thi Minh Nguyen*, Colin Arrowsmith, David Fraser
Royal Melbourne Institute of Technology, GPO Box 2476, Melbourne VIC 3001 Australia
*Email: s3455650@student.rmit.edu.au
Received: 15th August 2016; Accepted for publication: 10th November 2016.
ABSTRACT
The quality of water is a measure of a number of characteristics that impact on its
condition. Parameters affecting the water quality are classified as having chemical, physical,
biological and radiation characteristics. However there is uncertainty as to whether or not a
water sample meets set standards in quality if two or more parameters need to be considered.
Therefore, this study is to develop an effective evaluation model, adopting fuzzy logic, to assess
the quality of water. Using a case study in Ho Chi Minh, Vietnam, a model has been developed
and applied the collected surface water monitoring data in 2015. The results obtained from this
model are then compared to the results gained from Vietnam national water quality index
established in 2011.
Keywords: environmental management, surface water quality, water evaluation model, fuzzy
logic, water quality index.
1. INTRODUCTION
Integrated fuzzy evaluation method has been applied in recent years, This is an assessment
approach developed based on fuzzy theory [1], and is able to deal with a number of non-linear
relations, simplification, transferring ordinal value to verbal form. It can integrate qualitative and
quantitative data, and is capable of dealing with data loss [2]. Evaluation methods based on
fuzzy algorithm are applied in many areas such as automatic control, computer science, and
environmental management [3, 4, 5 - 7]. In Vietnam, fuzzy logic was applied in many fields of
study such as control system [8], fuzzy control [9], computer science [10], GIS system [11, 12],
integrated algorithm [13] but not many researches in environmental management field.
Ho Chi Minh City is a highly populated and rapidly developing city. Added to this, the city
is now facing with the problem of environmental declining especially the surface water system.
With dense canals and river system throughout the area, the city has advantages such as good
source of water supply, good waterway transportation and water drainage system. However, the
surface water of the city has been biological polluted by the industrial factories and lack of
appropriate domestic wastewater treatment. The city will be also one of the most suffering cities
Integrated evaluation model for surface water quality a case study in HCM city, Vietnam
233
in the world when the sea level rises as a result of greenhouse effect, including heavy floods,
urban sanitary, lack of fresh water, etc.
Therefore, as a part of the environmental management plan, this research applies the study
on fuzzy evaluation, particularly in the field of surface water quality, to build an appropriate
model of quality assessment in the city area. Also, water quality index results are to be used for
comparison. Vietnam water quality index is the evaluation method of assessing the water quality
officially promulgated in 2011. When comparing the two methods, strengths and weaknesses of
the fuzzy evaluation model can be pointed out, and a renovation, mitigation and prevention plan
for surface water quality could be drawn up for further study.
2. DATA AND METHODS
2.1. Data
The dataset applied in the pilot model is the water sampling mean value in 2015, including
rivers and canals sites. 26 river sites were set to monitor 15 parameters. The sample is taken on
1st, 8th, 15th and 22nd every month. In each day, there are two period of taking sample, at the
highest and lowest tide. The monitoring indicators includes biological oxygen demand, chemical
oxygen demand, coliform, E-coliform, pH, total suspended solid, turbidity, dissolved oxygen,
heavy metals (cooper, lead, cadmium), salinity, manganese, ammonium, phosphate. For canals,
15 sites have been operated since 2011 and monitored 16 parameters, including biological
oxygen demand, chemical oxygen demand, coliform, E-coliform, pH, total suspended solid,
turbidity, dissolved oxygen, heavy metals (cooper, lead, cadmium, and chromium), salinity,
manganese, ammonium, phosphate [14].
Table 1. The monitoring sites and monitored parameters in 2015.
Type of monitoring sites Number of sites Number of parameters
River 26 15
Canal 15 16
2.2. Methods
2.2.1. The fuzzy comprehensive analysis method
Based on the fuzzy concept developed by Zadeh in 1965 [15, 16], the fuzzy evaluation
method comprises of two parts, the membership function and the weight.
The membership function is to set up a matrix of membership values of a site, which
includes more than two monitored value of different parameters. It is an equation, usually a
graph, which transfers a real value (monitored value) into a belonging level (membership value)
of particular groups. There are a number of types of fuzzy membership graph with various
shapes (linear, curve, etc.) and characteristic (continuous, non-continuous, etc). In practice of
fuzzy application, simple and continuous shapes of graph are widely used. Barely determining
the membership function type, there are some popular type of graphs applied, including
triangular, trapezoidal, Γ- shaped, S-shaped, Gaussian, exponential-like, etc. [17].
Thu Thi Minh Nguyen, Colin Arrowsmith, David Fraser
234
This research applied one of the simplest matrix triangle and trapezoidal graphs [4 – 6, 18 –
20]. The membership graph for each parameter is built based on its characteristic and the
standard limit.
2.2.2. Weighting method
Weight is the level of importance of a parameter. Considering the water quality based on
more than two affecting factors (quality parameters) becomes a multi-criteria decision making
problem, and the weight of importance can be evaluated by the multi-criteria assessing methods.
The value of weight is more or less due to criterion's importance, which total value of the
weights is equal to 1. Some of the methods for assigning weights to a criterion include ordinal
[21, 22], outranking [23], or weighting methods [24, 25].
In this study, overweight method is applied. The weight of a parameter is the ratio between
mean of the samples and mean of standard values of that parameter. The main principle is the
more difference of the samples’ mean compared to the standard value’s mean, the higher the
weight [5, 7, 18, 26].
2.2.3. Vietnam Water Quality Index
Water quality index is an algebraic expression of the water quality for decision-makers to set
up management plan. The index is a tool for synthesizing and simplifying data and information,
and the results gained are easy to understand and use for local authority and people in general.
This approach has been developed in different kinds of formula and applied in various areas
such as Canada, Chile, England, Taiwan, India, Australia, Malaysia, etc., [27 – 29]. In Vietnam,
this method was applied in many studies [30 – 32].
The monitored data will be applied into the formula of Vietnam water quality index 2011
[33], with nine parameters. Final score is in a range from 0 to 100, classified into five groups of
quality, from lower B2 to A1, which the higher the score the better the environment.
Table 2. Surface water groups of quality.
Quality group
(from the best to worst)
Using purposes according to Vietnam
quality standard
Transferred to water
quality index’s score
A1 Good quality, applied for domestic
supply and other purposes (A2, B1, B2)
91 – 100
A2 Applied for domestic supply with little
treatment and other purpose (B1, B2)
76 - 90
B1 Applied for agricultural purpose or
other equivalent purpose (B2)
51 - 75
B2+ Applied for transport purpose only and
need further treatment
26 - 50
B2- Applied for transport purpose only and
need further treatment
0 – 25
Integrated evaluation model for surface water quality a case study in HCM city, Vietnam
235
3. RESULTS
3.1 Quality results
Applying the Water quality index method, the results showed that all the river sites were in
low quality, B class. Three out of 25 river sites had received B1 value (Dong Tranh, Nga Bay,
and Cai Mep). Most of the river (22/25) and all the canal sites (15/15) were met the lowest
quality of water (lower B2) in both lowest and highest tide, which is the sign of risky water
pollution in the whole catchment area. The results of the fuzzy model showed the similarities to
the water quality index’s score. 24/25 river sites and all the canal sites (15/15) met the lowest
value of quality (group B2-). Only one site (river Dong Tranh) met the group B1.
3.2 Pollution type
The results from the monitored values of the rivers and canals in the watershed showed that
the whole water catchment area had been biological polluted by the very high weighting value of
coliform and E-coliform. For all the sites, rivers and canals, all the monitored values from the
highest and lowest tide presented that the highest weighted indicator was E-coliform. For rivers,
the monitored levels of Coliform were extremely higher than the lowest B2 quality standard.
Canal monitoring sites also recorded unusual values of E-Coliform. This can explain the very
high weights of these two parameters.
Figure 1. The river’s Coliform levels and canal’s E-coliform levels compared to the B2 standard.
Considering the location of the extreme values, most of the highest pollution sites were
found in the centre of the city, which has the highest population density. Other monitoring sites
in the sub urban areas recorded the lowest values compared to others. This is a sign that human,
particularly residential activities, was the main source of pollution.
Thu Thi Minh Nguyen, Colin Arrowsmith, David Fraser
236
Coliform levels in high tide Coliform levels in low tide
E-Coliform levels in high tide E-Coliform levels in low tide
Figure 2. Mapping the Coliform and E-coli across the monitoring sites
4. DISCUSSION
The results in 2015 showed that the surface water quality of the area, Ho Chi Minh City,
Vietnam, was highly biologically polluted. The very high concentration of E-coliform bacteria in
the water samples is a sign of pollution of domestic wastewater or other organic waste sources.
The two methods, water quality index and fuzzy integrated methods, showed the
similarities in results.
Water quality index is a comprehensive approach for quality evaluation based on a group of
experimental functions. This method is widely applied and results are officially approved in
many countries and were formally approved in 2011 in Vietnam. Fuzzy assessing is also a model
Legend
Monitored values
Lowest values
Low values
High values
Highest values
Stream lines (rivers, canals, etc.)
Population Density (people/km2)
104.439964 - 3869.448730
3869.448731 - 13223.346680
13223.346681 - 32163.755859
32163.755860 - 44937.218750
Integrated evaluation model for surface water quality a case study in HCM city, Vietnam
237
of quality assessing based on two important elements: fuzzy matrix and weights. Although the
concept of fuzzy set was long developed, its application on the environmental management and
assessment is still being researched.
The advantage of the water quality index method is quick assessing, and its result can be
recognised by authorities. However, with the limited number of assessed parameters, for
example nine parameters regulated in the Vietnam handbook, the environmental quality cannot
be totally covered. Fuzzy model, on the other hand, can be applied to an unlimited number of
indicators, thus it can comprehensively assess all the relative parameters. Thus, the fuzzy model
can comprehensively assess all the relative parameters.
5. CONCLUSION
The water quality evaluation model was built based on the logic of fuzzy theory. Quality
monitored data from a catchment area in a developing city has been applied for testing the
results and compared to other regular method, Vietnam national water quality index. The results
of the two methods show parallels and this in turn shows that fuzzy evaluation method is both
applicable and practical. Fuzzy evaluation method also has the advantage of handling an
unlimited number of quality indicators. Nevertheless fuzzy method should be further researched
for more precise membership functions and limiting the uncertainty of the weights.
On the other hand, only nine specific parameters are tested in Water Quality Index method,
which can limit the result if other quality parameters are applied to evaluate the water. Also,
applying experimental equations in assessing the quality of the water could not be applicable for
specific region, particularly in a complex and developing city, such as Ho Chi Minh City.
Therefore, an integrated method combining Water Quality Index and Fuzzy approach
should be further researched to take advantages of the two methods and precise quality
evaluation.
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