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All Journal Matematika: Jurnal Teori dan Terapan Journal of the Indonesian Mathematical Society CESS (Journal of Computer Engineering, System and Science) GOLDEN AGE: JURNAL PENDIDIKAN ANAK USIA DINI International Journal of Global Operations Research Jurnal Riset Matematika Bandung Conference Series: Mathematics Matematika
Respitawulan, R
Fakultas Matematika Dan Ilmu Pengetahuan Alam, Universitas Islam Bandung
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Mathematics Transportation Other

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Sistem Pendukung Keputusan Penentuan Kenaikan Kelas Santri Menggunakan Metode TOPSIS Alma Arofah; Respitawulan
Jurnal Riset Matematika Volume 2, No. 2, Desember 2022, Jurnal Riset Matematika (JRM)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrm.v2i2.1194

Abstract

Abstract. TOPSIS is one of the methods contained in the Multi Criteria Decision Making (MCDM). In general, this method works based on criteria which are the determining factors for a case study by assessing the weight of each criterion. The purpose of this study was to find the priority value of a case of determining the class increase of students at the Al-Falah Dago Islamic Boarding School. The TOPSIS method can make it easier for Islamic boarding schools to determine whether students will go to class or not go to class objectively with predetermined criteria. In the process of determining the class increase of the students of the Al-Falah Dago Islamic Boarding School, there are 42 alternatives with 6 criteria being assessed: the average value of imtihan 1, the average value of imtihan 2, attendance, practice values, discipline values and moral values. The results of this study indicate that the results obtained from the determination of grade promotion from 42 alternatives resulted in recommendations for 27 students to go to class and as many as 15 students not to go to class. Abstrak. TOPSIS merupakan salah satu metode yang terdapat pada Multi Criteria Decision Making (MCDM). Secara umum metode ini bekerja berdasarkan kriteria yang merupakan faktor penentu bagi suatu studi kasus dengan menilai bobot dari setiap kriteria. Tujuan dari penelitian ini adalah mencari nilai prioritas dari sebuah kasus penentuan kenaikan kelas santri Pondok Pesantren Al-Falah Dago. Metode TOPSIS dapat mempermudah pihak pesantren untuk menentukan santri naik kelas atau tidak naik kelas secara objektif dengan kriteria yang sudah ditentukan. Dalam proses penentuan kenaikan kelas santri Pondok Pesantren Al-Falah Dago terdapat 42 alternatif dengan 6 kriteria yang menjadi penilaian: nilai rata-rata imtihan 1, nilai rata-rata imtihan 2, kehadiran, nilai praktik, nilai kedisiplinan dan nilai akhlaq. Hasil penelitian ini menunjukkan bahwa perolehan hasil penentuan kenaikan kelas dari 42 alternatif dihasilkan rekomendasi sebanyak 27 santri naik kelas dan sebanyak 15 santri tidak naik kelas.
Implementation of Cheapest Insertion Heuristic Algorithm in Determining Shortest Delivery Route Fargiana, Farid; Respitawulan, Respitawulan; Fajar, Yusuf; Suhaedi, Didi; Harahap, Erwin
International Journal of Global Operations Research Vol. 3 No. 2 (2022): International Journal of Global Operations Research (IJGOR), May 2022
Publisher : iora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/ijgor.v3i2.137

Abstract

The buying and selling transaction system that many people use today is the online buying and selling system. In this system, there is a process of goods delivery by one branch of a freight forwarder in Indonesia, namely SiCepat Express Baleendah. In the process of shipping goods, a delivery route with the shortest path is needed in order to minimize of the goods delivery process. The problem of the route of goods delivery can be solved by one of the algorithms in the Traveling Salesman Problem (TSP), namely the Cheapest Insertion Heuristic (CIH) Algorithm. This study aims to determine the shortest route and distance for goods delivery using the CIH Algorithm by the Asymmetric TSP CIH application, as well as knowing its efficiency compared to the route that used by SiCepat Express Baleendah. The result shows that the use of the CIH Algorithm is proven to produce a more efficient delivery route than the route created by SiCepat Express Baleendah. Based on the goods delivery route from SiCepat Express Baleendah, the result of the total distance is 18.55 km. On the other hand, based on the CIH Algorithm, the delivery route obtained result is 13.45 km. The efficiency of using the CIH Algorithm is 27.48% better than the result from SiCepat Express Baleendah route.
On The Adjoint of Bounded Operators On A Semi-Inner Product Space Respitawulan, R.; Pangestu, Qori Y.; Kusniyanti, Elvira; Yuliawan, Fajar; Astuti, Pudji
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1598.311-321

Abstract

The notion of semi-inner product (SIP) spaces is a generalization of inner product (IP) spaces notion by reducing the positive definite property of the product to positive semi-definite. As in IP spaces, the existence of an adjoint of a linear operator on a SIP space is guaranteed when the operator is bounded. However, in contrast, a bounded linear operator on SIP space can have more than one adjoint linear operators. In this article we give an alternative proof of those results using the generalized Riesz Representation Theorem in SIP space. Further, the description of all adjoint operators of a bounded linear operator in SIP space is identified.
Co-Authors Alfi Fadilla Hanum Alma Arofah Andika Tresnasena Arlinda Astri Frianti Azka Azkiyatul Mahmudah Didi Suhaedi Ervita Shera Pratiwi Erwin Harahap Fadly Andika Fajar Ilham Maulana Fajar Yuliawan Fajar, Yusuf Fakhri Murfid Pratama Pratama Fargiana, Farid Gani Gunawan Hilda Chaerunnissa I. Irmawati Icih Sukarsih Jumidah Kusniyanti, Elvira Onoy Rohaeni Pangestu, Qori Y. PUDJI ASTUTI Qirana Azmil Zamhur Rafly Anugerah Sultan Chaeruddin Syarif Mawardi Dwi Putra Wilda Ismarnita Yani Ramdani