Model Fuzzy MADM in The Decision Support System of Mustahik Service Program Beneficiaries at Laznas PPPA

Charity is one of the good deeds taught in Islam. Doing charity is giving out or donating a piece of the property or money to someone else. The amil institution is one of the places where they receive donations and distribute them to those who are entitled. One of the amil institutions is Laznas PPPA Daarul Quran that has a mustahik service program where they must be focused on providing educational, health, venture capital, or other aid to mustahik. The problem we found is that mustahik selection is still conducted by hand, resulting in the lack of accuracy of mustahik. There are eight criteria in determining the mustahik; fardhu prayer, family income, reading Al-Quran, sunnah prayer, social activities, number of loads, residence, and marital status. The purpose of this research is to build a decision support system to facilitate the management and distribution of aid to make it more targeted. The method used in this research is Simple Additive Weighting or SAW with a model Fuzzy Multi-Attribute Decision Making or FMADM. The method is selected because it can choose the best alternative by calculating and weighting the weight value of any criteria, and then proceed to determining the mustahik and giving help based on the number of funds available. Keywords​: decision support system, SAW, fuzzy MADM, mustahik, donation Copyright © 2020 IAICAll rights reserved.


Introduction
In its development, information technology has become an option for organizations as effective and efficient business strategies in running business processes. The application of technology by humans in helping work is necessary to support productivity and results that want to be achieved, not least for organizations that manage zakat, infaq, sadaqah, and waqf (ZISWAF) funds [1]. PPPA Daarul Quran is one of the national amil zakat institutions that has obtained permission from the Ministry of Foreign Affairs to manage ZISWAF funds from the community. As one of Laznas, PPPA Daarul Quran has a program to distribute charity funds from the organization called Mustahik Service. Mustahik Service Program has been around since the establishment of the PPPA Daarul Quran in 2007 [2]. Assistance provided for personal benefits such as assistance for venture capital, tuition assistance, health expense assistance, or assistance provided for the public interest such as to build mosques, religious activities in the village, and others [3]. The process of assisting is carried out in a way that the community that needs help comes directly to the office by submitting proposals and bringing the required terms, then goes through several stages, including the interview and survey stage to consider the criteria of the recipient of assistance [4]. This process is a lot of time-consuming management. In addition, it is also feared that it will reduce objectivity in the selection of beneficiaries [5]. Every month, there are 80-120 applications for assistance that go into the Mustahik Services program [6]. While in a day, the Mustahik Service team was only able to survey two to three places, and it was limited in the Jabodetabek area. Thus it poses the following problems: • The more applicants, the more time-consuming it will take in decision-making.
• Improvements are needed for the methods and decision-making systems that have been running so far, as they are less effective. • There is no computerized decision support system available to assist management in determining the best alternative.
The purpose of this research is to build a system of supporting computerized decisions and be one of the solutions to the problems faced so as not to be mistargeted in the management program of Mustahik PPPA Daarul Quran Service in distributing assistance to be more objective, transparent, and fair [7].
The use of Simple Additive Weighting (SAW) and Fuzzy Multiple Attribute Decision Making (Fuzzy MADM) methods has been widely done, such as research conducted by Elin Haerani and Ramdaril in his research entitled Design of Zakat Distribution Decision Support System Using Fuzzy Multiple Attribute Decision Making (FMADM) and Simple Additive Weighting (SAW) in Baznas Kota Pekanbaru [8]. The study explained that distribution is carried out periodically within three months. Distribution is done with consideration.
Criteria of zakat recipients calculated conventionally by the Baznas committee. Of course, this will allow for errors in calculation and decision-making. Therefore, a decision support system is needed that can support decisions in the distribution of zakat based on the criteria that are entitled to receive zakat so that the distribution process reaches the right person is entitled. The method used in the study was Simple Additive Weighting (SAW) [9]. The study concluded that the system could run according to the design and function that can provide the results of mustahik stamps that are entitled to receive zakat using Fuzzy Multiple Attribute Decision Making (FMADM) and Simple Additive Weighting (SAW) in accordance with the criteria set by the Committee baznas Kota Pekanbaru. The system built has been in accordance with the work program baznas Pekanbaru City and has managed to provide the results of mustahik ranking based on the highest vector value [10].

Decision Support System
The decision support system is a system that is made to support and obtain decisions in determining several choices that aim to be obtained from the computerized system based on the specified criteria. The support system of this decision using computerization as a tool makes it easier to make choices [11]. The decision-making process goes through the following stages:

Search Stage (intelligence)
Decision-making learns the reality that occurs so that it can identify problems that occur, usually done analysis from the system to its forming subsystem so that it is obtained in the form of incorrect statement documents.

Choice Stage
At this stage, the decision-maker chooses one of the solution alternatives made at the design stage, which is seen as the most appropriate action to address the problem at hand.

Design Stage
At this stage decision-makers find, develop, and analyze all possible solutions that are through modeling that could represent the real condition of the problem.

Implementation Stage
Decision-makers perform a series of solving actions selected at the choice stage. Successful implementation is characterized by missed problems.
SPK has a number of characteristics, abilities, and limitations [12] 4. Support inter-dependent and sequential decision-making. 5. Supporting the stages of decision making include intelligence, design, choice, and implementation. 6. Support various forms of decision-making process and type of decision. 7. The ability to adapt at all times and be flexible. 8. Ease of system interaction. 9. Increase effectiveness in decision making rather than efficiency. 10. Decision-making modeling and analysis capabilities. 11. Ease of accessing various data sources and formats.

SPK limitations
1. There are some management capabilities and human talents that cannot be modeled, so the models in the system do not all reflect the real problem. 2. The capabilities of an SPK are limited to the treasury of knowledge it possesses (basic knowledge as well as basic models). 3. The processes that SPK can do usually depend also on the capabilities of the software it uses. 4. SPK does not have the intuition ability that humans have. Because however advanced an SPK is, it is simply a collection of hardware, software, and operating systems that are not equipped with the ability to think.
B. Simple Additive Weighting (SAW) Simple Additive Weighting (SAW) algorithms are often also known as weighted summing methods [13]. The basic concept of the SAW method is to look for a weighted summation of performance ratings on each alternate on all attributes. The SAW method requires the process of normalizing the decision matrix (X) to a scale that can be compared to all existing alternative ratings [14]. The steps of selecting the Simple Additive Weighting method are as follows [15]. Determining the criteria that will be used as a reference in decision making, namely Ci. The criteria in this study are: Table 1. Criteria Determine the match rating of each alternative on each criterion. The match rating of each criterion is: Create a decision matrix based on criteria (Ci), then normalize the matrix based on equations that are adjusted to the type of attribute (profit attribute or cost attribute) so that it obtains a normalized matrix R [16].

Figure 1 . Normalization of Decisions
The end result is derived from the ranking process: the summation of the multiplication of the normalized matrix R with the weight vector so that it obtains the largest value chosen as the best alternative (Ai) as the solution.

Results and Analysis 3.1. Needs Analysis With SAW Method
Create a decision matrix (x) formed from the match rating table of each alternative on each criterion.
That will select the alternative stipulated. The MADM algorithm can be defined as follows [17]: • Provide the value of each alternate (Ai) on each specified criterion (Cj), where the value is obtained based on the crisp value; i=1,2,... m and j=1.2,... N. • Provides a weight value (W) that is also obtained based on the crisp value.  The next step is to normalize matrix X into matrix R, with the criteria attribute being benefit, with the formula: If j is the benefit attribute, then the calculation becomes:  Once the matrix becomes normalized, the next step is to perform a warking by summing from the multiplication of the normalized matrix row element (R) with a preference weight (W) corresponding to the matrix column element (W).  From the table above, the highest value is owned by alternative A1 with a value of 0.933. Thus, it can be concluded that the best alternative group of mustahik service program beneficiaries is A1.

B. Software Needs Analysis
This mustahik service decision support system is a system that serves to calculate the value of each alternative of each criterion. Software needs can be described through the Use Case and Activity diagrams below: 1.
Use Case Diagram The following process is the decision-making process of assisting The Mustahik PPPA Daarul Quran Service in Tangerang Center using a web-based system.     Figure 6. Ranking Page.

Conclusion
From the discussion of the decision support system in the recipient of mustahik service program in Laznas PPPA Daarul Quran Pusat Tangerang, it can be concluded that: With the support system of this decision, the assessment process can be done quickly, accurately, precisely, efficiently, and better than the present. A sound decision support system will facilitate decision-making to improve the performance of the staff of Mustahik PPPA Daarul Quran Service.