Decision Support System for Teacher Performance Assessment of SMK Nusantara 1 Ciputat Based on AHP and TOPSIS

SMK Nusantara 1 Ciputat is a vocational high school that has seven vocational schools including: Multimedia, Software Engineering, Computer and Network Engineering, Marketing, Accounting, Catering and Hospitality Services. To improve the quality of education in schools, principals are required to know information about the performance of educators in their schools. At present, the Ciputat 1 Vocational School principal has difficulty in making decisions on teacher performance appraisal because there is no weighting on teacher performance appraisal competencies that refer to Minister of National Education Regulation 16/2007 concerning Academic Qualification Standards and Teacher Competencies. Therefore, the AHP method is used to determine the weight of teacher competency and TOPSIS is used to produce a ranking on teacher alternatives according to the weight of the competencies determined by the AHP method. The results of weighting teacher competency with the AHP method have tested the consistency of the ratio of 0.088, this value is said Consistent because it is still below 0.1. Based on the weighting of the teacher’s competency, an alternative ranking is obtained in the assessment of teacher performance using the TOPSIS method with the highest teacher’s alternative value of 0.8052.


Introduction
Teachers are professional educators who have the duties, functions and important roles in educating the life of the nation. Professional teachers must have competency standards that can benchmark the success of teachers as educators referring to law number 14 of 2005 concerning teachers, article 10, paragraph (1) explains that: "Teacher competencies include pedagogic competence, personality competence, social competence and professional competence gained through professional education", therefore teacher performance appraisal (PKG) is an effort to obtain an overview of the competencies and performance achievements of a teacher [1].
SMK Nusantara 1 Ciputat is one of the vocational secondary education institutions that always carry out PKG activities that refer to the PKG guidelines that have been established by the Directorate General of Quality Improvement of Educators and Education Personnel to be able to always maintain the performance of their teaching staff, but the teacher competencies in the PKG guidelines that have been set are not have an assessment weight that is adjusted to the needs of the school, so that the Ciputat 1 Nusantara Vocational School principal has difficulties in making PKG decisions that are appropriate to the needs of the school. Therefore this study aims to assist the principal in making PKG decisions with PKG decision support systems using the AHP and TOPSIS methods, where the AHP method is used to weight teacher competencies and TOPSIS is used to rank teachers' alternatives.
In some previous studies, AHP method is often used for criteria weighting because in AHP there is an eigenvector concept that is used to rank each criterion based on pair wise comparison matrix, then in the TOPSIS method using the concept of selected alternatives does not only have the shortest distance from the positive ideal solution , but also has the longest distance from the negative ideal solution [2]. The following are the results of the study review that are relevant to the decision support system for assessing teacher performance using the AHP and TOPSIS methods: a. The results of this study, using the AHP and TOPSIS methods have generally improved the calculation process and also this system can provide the best employee recommendations based on ranking, of 300 employees there are 3 employees with the highest ranking, namely: Hilman Bakhtiar 0.9549, Basuki Cahyo Setyo 0.9126 and Dimas Haryandi 0.8276 [2]. b. In the research support system decision of the best Kindergarten (TK) determination from the Education Office of Banjarbaru City with AHP and TOPSIS methods, where the AHP method gets the results of the calculation of pairwise comparison matrix to get CR = 0.86 which indicates that the weight obtained is enough consistent, then the TOPSIS method in this study gets the highest score from several alternatives, namely TK Aisyiah Bustanul Atfal with a total value of 0.0358 [3]. c. Based on the discussion of research results, the use of the AHP and TOPSIS methods can rank prospective school curriculum staff based on the 9 criteria used. Based on the response from users, SPK with the AHP and TOPSIS models is easy to make changes in weight at each assessment session [4]. Based on the review of the above studies, the differences in existing research with this study are the criteria used for teacher performance assessment are teacher competency based on PKG guidelines set by the Directorate General of Quality Improvement of Educators and Education Personnel in 2010.

Methodology
Based on the description above, the stage of research can be described as figure 1 shown below. The research method used in the decision support system of teacher performance appraisal uses 3 stages, namely the first stage where the researcher reviews the study of the previous research and then continues the data collection process by conducting interviews with the principal of SMK Nusantara 1 Ciputat and observing teacher performance appraisal activities. after the researchers concluded the results of the study review and obtained the data needed to assess the teacher's performance, the method used for the decision support system for teacher performance assessment was by the AHP and TOPSIS methods. In the second stage, the researcher processes teacher performance assessment criteria data, where the teacher's competency becomes the criterion on the teacher performance appraisal with the AHP method which aims to obtain the weighted values of each criterion, because the weighting on the criteria will be the initial number to calculate the values and ratings of the alternatives using the TOPSIS method. The third stage researchers conducted an assessment of alternatives using the TOPSIS method, where in this method will get the value of the preferences and ratings of each alternative.
The sample selection method used in this study is, with probability sampling method. The population in this study were all teachers in SMK Nusantara 1 Ciputat, amounting to 69 teachers, based on random sampling using excel program. This research used 5 teacher samples as an alternative teacher. Taking the sample is taken from the smallest number. The following Table 1 shows the teacher who will be used as an alternative.

Results And Discussion
Criteria data in this study use teacher competencies derived from teacher performance assessment guidelines that have been established by the Directorate General of Quality Improvement of Teachers and Education Personnel in 2010. The criteria in the teacher performance assessment are shown in Table 2 as follows: The first step in the AHP method is to weight the criteria by comparing in pairs the so-called "pairwise comparation". Each criterion is compared with each other, giving a scale of 1-9 according to the AHP scale, the results of pairwise comparation can be seen in Table 3 as follows: Based on the results of the weight of the criteria that have been obtained, the last step of the AHP method is to test the value of CR (Consistency Ratio) which aims to find out that the processing results from the principal's answers are still on a consistent scale, if the consistency value is less than 10% or <0.1 then declared consistent. In this study by following the test steps in the AHP method, the CR (Consistency Ratio) value obtained is 0.0887, it can be concluded that the results of weighting criteria are consistent. The use of the TOPSIS method in this study is, to determine the maximum value and ranking of each alternative, based on the value of alternative competencies that have been converted and the weight of the criteria that have been obtained from the AHP method. (not fulfilled), 1 (partially fulfilled) and 2 (fulfilled), then the score of each competency indicator is added to get the competency value then the total indicator assessment score is converted into competency score scale 1, 2, 3, or 4. Following Table 6 is the conversion score to Competency values based on guidelines for assessing teacher performance as determined by the Directorate General of Quality Improvement of Teachers and Education Personnel in 2010. Based on the competency values that have been converted in this study, the initial step in the TOPSIS method is to provide competency values that have been obtained by alternatives. After the alternative to get competency values, the next step is to make alternative values by adding up all the alternative values to the criteria, following an example of calculating alternative values K1 = A12 + A22 + A32 + A42 + A52 = 7.6811, doing these calculations on each alternative. Here is Table provide alternative values for the criteria.