TOPSIS and SLR methods on the Decision Support System for Selection the Management Strategies of Funeral Land

The funeral land is one of the public facilities that must be provided by Local Government to support community activities. The need for funeral land in Lubuklinggau continues to increase while the availability of funeral land is decreasing, this is because the number of deaths of the population continues to increase every year. Forecasting the land availability of funeral for the coming year and applying the management strategies of funeral land can overcome the needs of the cemetery. Forecasting the land availability of funeral using Simple Linear Regression. TOPSIS to choose the management strategies of funeral land. Forecasting uses two variables that are the variable number of the population deaths and the variable amount of funeral land in the last 5 years. Forecasting results will be used as one of the assessment criteria in the decision support system for selection of the management strategies of funeral land. The alternative of the funeral management strategy that will be applied and assessed in accordance with Local Regulation of Town of Lubuklinggau. The highest value of the end result of the system will be used as a recommendation for the selection of management strategies. Keywords—DSS, Forecasting, Management of Funeral Land, TOPSIS, SLR  ISSN (print): 1978-1520, ISSN (online): 2460-7258 IJCCS Vol. 13, No. 2, April 2019 : 167 – 176 168


INTRODUCTION
Lubuklinggau is a city at the level of the westernmost district of the province of South Sumatra.The area of the city of Lubuklinggau is based on Law No. 7 of 2001 covering an area of 401.50 km 2 or 40,150 ha covering 8 sub-districts and 72 villages.Lubuklinggau City has a population of 222,870 people [1].The level of population density in the city of Lubuklinggau is increasing every year.The increase in population density in an area has an impact on increasing land requirements, while the available land has diminished due to the rapid population growth.Increasing land requirements will cause problems in providing land for public facilities.One of the public facility that is a problem in the City of Lubuklinggau is funeral land because the slow sea funeral land will be full while the burial ground is limited and cannot continue to accommodate the deceased population in the future.
The Lubuklinggau City Population and Civil Registration Service project the number of deaths per year from 2018-2035 to increase every year.Meanwhile, according to data from the Lubuklinggau City Housing and Settlement Agency, the area of the cemetery in the city of Lubuklinggau in 2015 was 3,386,881 m2 with grave conditions that had begun to be filled in several locations and feared that the burial land would be exhausted and could not accommodate the population who died.
Limitations of land for the funeral can cause problems if management of the cemetery is not immediately carried out.Therefore, it is necessary to implement a funeral land management strategy to overcome the limitations of the cemetery land.To choose the right funeral land management strategy based on assessment criteria, a decision support system is needed in choosing a funeral land management strategy.
The amount of funeral land availability is a factor behind the need for the implementation of funeral land management strategies to overcome the limitations of funerals land in the future, but at this time information on the number of available burial grounds is not yet known, so it is not known how much the available funeral area for the year will come that requires the implementation of the funeral land management strategy.Therefore, before choosing a funeral land management strategy, first calculate how much funeral land is available for the coming year by applying the forecasting system for the funeral land availability.With this forecasting system, decision makers can find out how much funeral land is available so that they can choose the right funeral land management strategy based on the results of the forecasting area of the cemetery.
Several studies have been conducted regarding the application of the TOPSIS method and the application of the Simple Linear Regression method.The research included: uses the TOPSIS method to get drugs that match the type of disease [2], to get the best employee ranking [3], to choose student street vendors [4], to determine the priority of home conditions [5], to design a novel performance evaluation model [6], to choose freshwater fish farming research [7].Research [8] uses the Linear Regression method to forecast electricity prices for the future.Research [9] uses the Linear Regression method to predict future crimes.
In this study forecasting with Simple Linear Regression is used to predict the availability of funeral land, the forecasting results will be used as one of the decision support criteria for choosing a funeral land management strategy.Furthermore, implementing a decision support system using the TOPSIS method is expected to assist decision makers in choosing a funeral land management strategy.

Literature Review 2. 1.1 Decision Support System
Decision support system is used as a tool for decision-makers to expand the capabilities 169 of decision makers, but not to replace the judgment of decision makers.DSS is intended for decisions that require assessment or for decisions that cannot be supported by the algorithm at all.SPK is expanding rapidly, from just a personal support tool to a commodity that is used together [10].

Technique for Order Preference by Similarity to Ideal Solution (TOPSIS)
The principle of TOPSIS is that the chosen plan must be as close as possible to the positive ideal solution and as far as possible from the negative ideal solution.TOPSIS will rank alternatives based on the priority of the relative proximity value of an alternative to a positive ideal solution.The alternatives that have been ranked are then used as a reference for decisionmakers to choose the best solution they want.This method is widely used to solve practical decisions.This is because the concept is simple and easy to understand, the computation is efficient, and has the ability to measure the relative performance of decision alternatives [10].
The calculation steps in the TOPSIS method are as follows: a. Make a normalized decision matrix b.Make a weighted normalized decision matrix c.Determine positive ideal solutions and negative ideal solutions d.Determine the distance between the values of each alternative with positive ideal solutions and negative ideal solutions e. Determine preference values for each alternative

Make a Normalized Decision Matrix
TOPSIS requires performance ratings for each alternative on each normalized criterion.The normalized matrix is formed from equation ( 1

Determine Positive Ideal Solutions and Negative Ideal Solutions
Positive ideal solutions and negative ideal solutions can be determined based on the normalized weight rating of equation ( 3).It should be noted the conditions in equation ( 5) and equation ( 6) in order to calculate the value of an ideal solution by first determining whether it is a benefit or a cost.

Determine The Distance between The Values of Each Alternative with Positive Ideal Solutions and Negative Ideal Solutions
Alternative distance (D i + ) with the positive ideal solution is formulated in equation ( 7).

Determine Preference Values for Each Alternative
Preference values (Vi) for each alternative is formulated in equation ( 9).

Vi = (9)
Clause: i = worth 1 to m is a number of alternative D = alternative distance

Forecasting
Forecasting is the process of predicting the future.Forecasting is a combination of art and science in estimating the conditions in the future, by projecting past data into the future using mathematical models and subjective estimates [11].

Linear Regression Analysis
One forecasting model included in the associative forecasting method is linear regression analysis.Regression analysis is a mathematical equation that allows predicting the values of a variable not free from the values of one or more independent variables [12].Linear regression consists of two, namely simple linear regression with one independent variable and IJCCS ISSN (print): 1978-1520, ISSN (online): 2460-7258  one related variable, and multiple linear regression with several independent variables and one related variable.

Simple Linear Regression
Simple Linear Regression is a regression equation where the independent variables are scalar.Simple linear regression analysis is used to determine the effect of one independent variable on one related variable [12].
The calculation steps for the Simple Linear Regression method are as follows: a. Identify the cause (x) and effect variables (y) b.Calculate The regression equation used in Simple Linear Regression is equation (10).Whereas to find the value of a using equation ( 11) and the value of b using equation (12).yˈ = a + bx (10) Clause: y = Dependent variable (cause variable) a = Constant b = variable coefficient X x = Independent variable (effect variable)

System Architecture
The system architecture used in decision support systems for the selection of funeral land management strategies based on the results of forecasting the availability of funeral land is a relationship that can be seen between the components related to the system.The software used to process the data is MySQL, TOPSIS method is used as a method for choosing a funeral land management strategy, the user interface subsystem used is a web-based interface using PHP, and the user who will use the system is the admin and chairman.The system architecture can be seen in Figure 1.

Calculation of Forecasting of Funeral Land Availability
The forecasting process is the first step carried out in the workflow of the decision support system for the selection of funeral land management strategies based on the results of forecasting the availability of funeral land.Forecasting the availability of funeral land using the Simple Linear Regression method.
The Simple Linear Regression method is one of the forecasting methods that performs forecasting by knowing the influence of the causal variables on the consequent variables.The variables used in forecasting the availability of funeral land are the number of deaths as the cause variable (X) and the size of the funeral area as a consequence variable (Y).From these two variables, an analysis of the effect of population mortality on the area of the cemetery will be carried out, which results in a large number of available funeral grounds for the coming year.
The data used in forecasting the funeral land availability are population mortality data and funeral land area data in the last 5 years to predict the availability of funeral land in the next 5 years, and in the example calculation below forecasting is carried out in Lubuklinggau Barat I sub-district, forecasting data is presented in Table 1.Based on Table 1 it is known that the cause variable (X) is the number of deaths, and the consequent variable (Y) is the funeral land, the next step is to calculate x 2 , xy and the total of each.The variable x 2 is obtained from the process of lifting data on the variable x, while the variable xy is obtained from the process of multiplying the data on the variable x with the variable y.After getting the calculation results from all of these variables, then do the total sum of each variable.The results of variable calculations are shown in Table 2.The next step is to calculate the value of a and b using equation (11) and equation ( 12) by entering the calculation results from Table 2.The results of calculating a and b values are presented in Table 3.Based on Table 3 it is known that the value of a is 82.196294 and the value of b is -0.0040126, the value of a and the value of b will be used in the regression calculation process to predict the availability of funeral land using equation (10).Yˈ = a + bX Y = 82,196294 + (-0,00401) X Variable X is the population mortality for the coming year.The population mortality rate for the coming year is obtained from the data of the projected mortality rate of the population of Lubuklinggau City.Death projection data are presented in Table 4. Forecasting the variable causes with variables due to the forecasting process is: if the population mortality rate in Lubuklinggau Barat I sub-district in 2018 totaled 333 people, what is the area of burial land remaining for 2018?The forecasting results are presented in Table 5.After the forecasting process is complete, the results of forecasting the funeral land in Table 5 are used in the assessment of the decision support system to choose the funeral land management strategy on the forecasting outcome criteria.

TOPSIS Calculation
After the forecasting process is complete, the next step is to calculate the decision support system to choose a funeral land management strategy using the TOPSIS method.In this study alternative or management strategies for the funeral land used are based on the Lubuklinggau City Regional Regulation Number 9 of 2010 which implements a management strategy by carrying out funeral overlap systems, contract systems, structuring tomb plots and opening new funeral lands.The number of criteria used is 6 criteria.In the calculation example below, the assessment was conducted in Lubuklinggau Barat I Subdistrict, the value entered by the decision maker in this case, the funeral cation is presented in Table 6, while in Table 7 is the weight of each criterion.Based on the steps to calculate the TOPSIS method, the first step is to calculate the normalized matrix using equation (1).
A-(Implementation Cost) = MAX (0,161225888; 0,000000983; 0,000001180; 0,080038822) = 0,161225888 The results of the calculation of the determination of positive ideal solutions and negative ideal solutions in each criterion are presented in Table 10.0,000000983 0,090478899 0,320432427 0,012206827 0,051025204 0,073206912 A-0,161225888 0,016450709 0,07763427 0,122068269 0,025512602 0,007320691 After getting the positive ideal solution and the negative ideal solution, the next step is to determine the alternative distance (Di +) with the positive ideal solution using equation (7), while the distance (Di-) with the negative ideal solution uses equation (8).The results of the overall calculations obtained are presented in Table 11.The final step is to calculate the preference value for each alternative using equation (9).Preference values for each alternative are presented in Table 12.In Table 12, it can be seen that the alternative overlapping system has the largest value of 0,750874506, and is followed by a contract system with a value of 0,559709228, then a new land of 0,316597451, and finally the grave plot arrangement of 0.281278477.So, by using the TOPSIS method, the best funeral land management strategy for Lubuklinggau Barat I Subdistrict is to implement a overlapping system strategy.

CONCLUSIONS
The TOPSIS method can be used to assist decision makers in choosing a funeral land management strategy based on the results of forecasting the availability of funeral land.Simple Linear Regression method can be used in the forecasting process of the availability of funeral land, the increasing mortality rate of the population has resulted in diminishing funeral land.

IJCCS
ISSN (print): 1978-1520, ISSN (online): 2460-7258  TOPSIS and SLR methods on the Decision Support System... (Yayang Eluis Bali Mawartika) ) and the normalized matrix form in equation (matrix = The value element of the normalized matrix = Element values for each criterion or sub-criteria of alternatives m = Alternative number n = Number of criteria or subcriteria 2.1.2.2 Make a Normalized Decision Matrix Weighted Equation (3) is used to calculate the normalized weight rating and the normalized matrix form is weighted in equation (4).normalized matrix is weighted = The value element of the normalized matrix is weighted = The preference weight value for each criterion or subcriteria m = Alternative number n = Number of criteria or subcriteria  ISSN (print): 1978-1520, ISSN (online): 2460-7258 IJCCS Vol. 13, No. 2, April 2019 : 167 -176 170 2.
i = worth 1 to m is a lot of alternatives n = Number of criteria or subcriteria Alternative distance (D i -) with the negative ideal solution is formulated in equation (8).
i = worth 1 to m is a lot of alternative n = Number of criteria or subcriteria

x 2 ,
xy and total respectively c. Calculate the value of b d.Calculate the value of a e. Calculate the forecasting of the causal variables against the variables due to regression

Table 2
Variable Calculation

Table 3
Results of Calculation of Value a and Value b

Table 4
Death Projection Data

Table 6
Alternative Value in Each Criteria

Table 9
Normalized Weighted Results

Table 10 Positive
Ideal Solutions and Negative Ideal Solutions

Table 11 Alternative
Distance Positive Ideal Solutions and Negative Ideal Solutions

Table 12
Value of each Alternative Preference