DEVELOPMENT OF DECISION SUPPORT SYSTEM DETERMINING THE STUDENT AS SCHOLARSHIP RECIPIENTS BY FUZZY MULTI ATTRIBUTE DECISION MAKING (FMADM)

This research is the design of a decision support system (DSS) to determining the student as scholarship recipients of the STMIK Pelita Nusantara, Medan, Indonesia, with the approach of Fuzzy Multi Attribute Decision Making (FMADM) with TOPSIS method. Approach to Fuzzy Multiple Attribute Decision Making (FMADM) by specifying the values of the weights for each of the criteria or attributes and TOPSIS method for selecting student scholarship recipients. Implementation of a decision support system that can show the interaction of the user with the software application built using Visual Basic 2008 programming language. Conclusion the results obtained from the discussion shows that the approach with FMADM TOPSIS give final value calculation results ordered that can help decision makers determine the student deserves the scholarship. The existence of a decision support system that has been designed so the process of determining a student scholarship recipients more accurately, quickly, and accurately .


Introduction
STMIK Pelita Nusantara Medan provides the student who has a high achievement and with the lower economic level of parents with scholarship.The financial of the scholarship is not a self fund or parents' donation but it financed by government, private company, embassy, university and not from the lecturer or researcher.Scholarship is provided to the right recipients based on classification, quality and competency of the recipients.Decision in determining the student as recipient of scholarship at STMIK Pelita Nusantara Medan is made conventionally namely by held a meeting with Foundation, Chairperson, Head of Education Program and Academic Counselor lecturer.The criteria of student who receive the scholarship is a student who has cumulative achievement index (IPK) not less than 3.0.The determining process of the recipients of the scholarship is not objective, need a long time and is not accurate [8].
This research is focus to designing of decision support system by Fussy Multi Attribute Decision Making (FMADM) approach by TOPSIS method.FMADM approach by give a weight score for each criteria and TOPSIS method to select the recipient of scholarship.TOPSIS method applies principle that the chosen alternative must has a nearest distance from the positive ideal solution and far from the negative ideal solution.The ranked alternatives must be references for decision maker to choose the required best solution.This method is applied in decision making practically because its concept is simplest and easy to understand, its computation is efficient and measure the relative performance from any decision alternatives [9].
The implementation is by developing a decision support system that indicates the interaction between users and the built software.The application is designed by using Visual Basic 2008 programming.The decision support system (DSS) is defined as a system that support a work of manager or group of manager in solve semi structure problem by give any information or suggestion lead to the decision [10].

Methodology
The below figure shows a process flow chard of a support decision system in determining student as recipient of scholarship by Fuzzy Multi Attribute Decision Making (FMADM) approach by TOPSIS method as shown in Figure 1.

Fuzzy Multiple Attribute Decision Making (FMADM)
Fuzzy Multiple Attribute Decision Making (FMADM) is a method applied to obtain optimal alternative from any alternatives with certain criteria.The context of FMADM is determining the weight score for each attribute and followed by ranking process in selection of any alternatives.Principally, there are three approaches to determine the weight score of attribute, i.e. subjective, objective, and integration between subjective and objective approaches.
Each approach has advantages and disadvantages.On subjective approach, the weight score is determined based on subjectivity of the decision maker so any factors in ranking process of alternatives can be determined independently.While in objective approach, the weight score is calculated mathematically that ignore subjectivity of the decision maker [9].
There are any method may be applied to solve the FMADM problem, such as : TOPSIS was introduced in the first time by Yoon and Hwang in 1981 as one of method ion solve the multi-criteria problem.TOPSIS give a solution of any alternatives by compare each alternative to the best and bad alternatives among the available problem alternatives.This method applies distance to do the comparison.Yoon and Hwang develop a TOPSIS method based on the consept the best alternative and not only has the shortest distance from the positive ideal solution but also it has the longest distance from the negative ideal solution in the view point of geometric using Euclidean distance.[3] TOPSIS method will rank the alternative based on relative nearest score priority of alternative to positive ideal solution.The ranked alternatives will be references to the decision maker in chose the required best solution.This method is used to solve the decision making practically because its concept is simplest and easy to understand, its computation is efficient and can measure the relative performance of any decision alternatives.In classic TOPSIS method, the weight score of each criterion had known clearly.Each weight score of criteria is determined based on its necessity level according to the decision maker.
The following is the procedure of TOPSIS method are: 1. TOPSIS began by build a decision matrix.The decision matrix X refers to m alternatives will be evaluated based on n criteria.Decision matrix X is as follows : ( where a i ( i = 1, 2, 3, . . ., m ) is possible alternative, ‫ݔ‬ (j =1, 2, 3, . . ., n ) is attribute in which the alternative performance is measured, ‫ݔ‬ is alternative performance a i by reffer to atribute ‫ݔ‬ .

Normalized decision matrix
Each element of the matrix X is normalized to obtain the normalization matrix R. Each normalized value rij can be calculated as follows: where i = 1, 2, 3, . . ., m; dan j = 1, 2, 3, . . ., n; 3. Weighted normalized matrix has given weight W = (w1, w2, ..., wn), so the weighted normalized matrix V can be calculated as follows: where i = 1, 2, 3, . . ., m; dan j = 1, 2, 3, . . ., n; 4. Determine the positive ideal solution and negative ideal solution Positive ideal solution A + and Anegative ideal solution can be determined based on normalized weighted rating (Yij): Separation measure is a measurement of the distance of an alternative to the positive ideal solution and negative ideal solution.Mathematical calculation is as follows: a. Separation measure to the positive ideal solution : ଶ ୀଵ (6) where i = 1,2,3,..., m ଶ ୀଵ (7) where i = 1,2,3,..., m 6. Calculating the relative closeness to the positive ideal.Relative closeness of the alternative A + to A -ideal solution represented by: Where, i = 1,2,3,..., m 7. Sorting Preference Alternatives can be ranked based on the order of Ai.The best alternative is the one that is shortest to the longest and is the ideal solution to the negative ideal solution.
Alternative with the higher C + is a best solution

Requirement Analysis For FMADM.
Problem-solving and computation scholarship selection with TOPSIS method described as: Phase I : Collect the number of alternatives that will be used and some of the attributes or criteria.There are six criterias used as a basis for making decisions in the selection of scholarship.The

Implementation and Results of Research
The steps of data analysis on this research is based on the flow chart of FMADM by TOPSIS method in which the score of fuzzy had converted into crisp score as shown in the table VIII by take 5 (five) sample of student.

Normalized decision matrix
Ideal Solution Figure 2 shows the display before enter to the application in which user must login previously.In form login, the user input the user name and password.If the username or password is error, the next process is not continued.There are two types of user, i.e. admin and user.It difference is the data only input by user admin.Figure 5 shows the display of TOPSIS calculation process.After to enter the data of student and criteria of 6 (six) attributes as shown in figure 3, its calculation is processed to get the fuzzy value of each criteria.Furthermore, the TOPSIS calculation can be processed on the display by matrix normalization, weighted normalized matrix, to calculate the positive ideal solution and negative ideal solution, to calculate the alternative distance and to display the results of calculation.On the remark column it show whether the student is feasible or not as recipient of scholarship that enable the chief as decision making in determining the student as recipient of scholarship

Conclusion
This research formulates an application in determining the student as recipient of scholarship by Fuzzy Multi Attribute Decision Making (FMADM) approach with TOPSIS method.By this application, the result and information related to determining the student who receives the scholarship quickly, rightly and accurately.The result of this research indicates an implication that there is approach as base to determine student as recipients of scholarship namely Fuzzy Multi Attribute Decision Making (FMADM) with TOPSIS method.

Fig. 1 .
Fig. 1.Process flow chard of selection of student as recipients of scholarship by FMADM approach with TOPSIS method and drugs C6 = Activity in campus organization Phase II : The criteria data is transformed into the crisp score by weight of each criteria as shown in the below the table.

Fig. 3 .
Fig. 3. Form Main Menu Figure 3 shows the display of Main Menu after user had login.In the main menu display, there are option of Personal data Form of candidate, Criteria Score and Decision Making Process.

Fig. 4 .
Fig. 4. Data Entry Form of Student and Criteria Score

Figure 4
Figure4shows the display to enter the data of student and determined criteria.The data of student will be entered are name and register number of

Fig. 6 .Figure 6
Fig. 6.Form of Report of determining the student as recipient of scholarship

TABLE VI FUZZY
NUMBER FOR CRITERIA OF ACTIVITY IN CAMPUS ORGANIZATION