Authors:Suroto, Ari Wardayani, Chumaedi Sugihandardji Pages: 1 - 11 Abstract: This paper discusses some of the terminology and basic properties of the set of min-plus algebra symmetrization. The results are algebraic structure of the positive or zero part of the set of min-plus algebra symmetrization is a semi-field, and the min-plus algebra can be viewed as the positive or zero part in the context of the set of min-plus algebra symmetrization. Furthermore, the form of the result of the subtraction of the elements in the set of min-plus algebra symmetrization, the multiplicative inverse of element in the non zero-positive and negative part, and some basic properties of balance as an analogy to the similarity of linear algebra are also obtained. PubDate: 2022-11-14 DOI: 10.33830/jmst.v23i2.3033.2023 Issue No:Vol. 23, No. 2 (2022)
Authors:kiswara santoso, Amalia Nur Azizah First page: 12 Abstract: Bank Syariah Indonesia was inaugurated on February 1, 2021, which is a combination of BNI Syariah, Mandiri Syariah, and BRI Syariah. One of the ease of transaction facilities for customers is using an ATM (Automated Teller Machine). BSI currently has 18,291 ATMs spread throughout Indonesia and 10 of them are located in Jember Regency. The purpose of the ATM is to increase customer convenience and public trust in BSI. Ease of access to ATMs will affect the number of customers because ATM locations that are easily accessible can increase the number of profits obtained by BSI. The main factors in determining the location of ATMs that need to be considered are easy to reach, close distances, and safe locations. The Fuzzy C Means (FCM) method is used to classify the right area in determining the location of ATMs. The results of this study, the Jember district can be grouped into 6 clusters, wherein each cluster there is one ATM with the first cluster and the sixth cluster with as many as 9 districts, the second cluster with as many as 6 districts, the third cluster as many as 5 districts, the fourth cluster as many as 7 districts, and the fifth cluster as many as 4 districts. The conclusion of this study, is the exact location of BSI ATMs in Jember Regency based on the number of clusters that have been determined to be in Patemon Village, Antirogo Village, Jubung Village, Jember Lor Village, and Sumbersari Village. Clustering validation uses the Silhoutte Index (SI) with an average silhouette coefficient of 0.83028. PubDate: 2022-11-18 DOI: 10.33830/jmst.v23i2.3110.2022 Issue No:Vol. 23, No. 2 (2022)
Authors:Hasriati, Ihda Hasbiyati, Audia Kirana, Agung Prabowo Pages: 24 - 36 Abstract: This article discusses Zillmer's reserves for endowment life insurance. Zillmer reserves are a type of modification of premium reserves which are calculated using prospective reserves and the Zillmer rate. In Zillmer reserves, loading which is the difference between gross premium and net premium in the first policy year is greater than standard loading, so the purpose of this research is to find a way to make the loading smaller. To achieve this goal, this article uses the Pareto distribution and the Cox-Ingersoll-Ross (CIR) interest rate model. Based on the illustration, even though in the first policy year there was still a negative loading, however, Zillmer's reserves have been increasing from time to time since the second policy year. PubDate: 2022-12-22 DOI: 10.33830/jmst.v23i2.3541.2022 Issue No:Vol. 23, No. 2 (2022)
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