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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi
Karim, Corina
Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang
Mathematics

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Some Properties from Construction of Finite Projective Planes of Order 2 and 3 Krisnawati, Vira Hari; Karim, Corina
CAUCHY Vol 4, No 3 (2016): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (767.108 KB) | DOI: 10.18860/ca.v4i3.3633

Abstract

In combinatorial mathematics, a Steiner system is a type of block design. Specifically, a Steiner system S(t, k, v) is a set of v points and k blocks which satisfy that every t-subset of v-set of points appear in the unique block. It is well-known that a finite projective plane is one examples of Steiner system with t = 2, which consists of a set of points and lines together with an incidence relation between them and order 2 is the smallest order.In this paper, we observe some properties from construction of finite projective planes of order 2 and 3. Also, we analyse the intersection between two projective planes by using some characteristics of the construction and orbit of projective planes over some representative cosets from automorphism group in the appropriate symmetric group.
Fundamental Solution of Elliptic Equation with Positive Definite Matrix Coefficient Khoirunisa, Khoirunisa; Karim, Corina
CAUCHY Vol 5, No 2 (2018): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (571.383 KB) | DOI: 10.18860/ca.v5i2.4717

Abstract

In this paper, we study the fundamental solution of elliptic equations with real constant coefficients  where is a positive definite matrix. We obtained by searching the radial solution so that we solved the equation into ordinary differential equations. 
Selection of Ideal Contraceptive Tool Using Hybrid Entropy-Topsis Method Wahyu Handamari, Endang; Andawaningtyas, Kwardiniya; Karim, Corina
CAUCHY Vol 5, No 2 (2018): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (631.088 KB) | DOI: 10.18860/ca.v5i2.4510

Abstract

The Hybrid Entropy-TOPSIS method is a combination of two methods, Entropy and TOPSIS. The combination of the two methods is used in the decision-making model to improve the quality of a decision. In this research, the Hybrid Entropy-TOPSIS method was applied to determine the ideal contraceptive tool based on the acceptor criteria. Entropy is a method of weighted criteria, while TOPSIS is a method of decision making through the alternative ranking process based on weighted criteria. The criteria are factors which influence to Keluarga Berencana acceptors for selecting contraceptives. The used criteria in this research were the age, blood pressure, menstrual cycle, the use of contraceptives, and the cost. While the Alternative is contraceptive tool itself. The selected alternatives here were Pill, Injection, Condoms, Implant, IUD and MOP / MOW. Based on the results of the questionnaire data and the simulation, it was obtained that pill and implants has the highest ranking and they indicated that pill and implants as an alternative selection of the ideal contraceptives.
Improving the Guidance Learning (LBB) Consumer Satisfaction in Malang using DANP - TOPSIS method Andawaningtyas, Kwardiniya; Handamari, Endang Wahyu; Karim, Corina
CAUCHY Vol 5, No 3 (2018): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (446.28 KB) | DOI: 10.18860/ca.v5i3.5541

Abstract

Decision analysis of Multiple Attribute Decision Making (MADM) model is used to assess the performance, not only in a rank but also in a plan of marketing strategy as an effort to increase consumers’ satisfaction by combining DEMATEL-based Analytical Network Process (DANP) method and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) method. One of the industrial services in the education nowadays is the services of the Guidance Learning (LBB). This article has 3 alternatives to 6 criteria. The questionnaire was distributed to 80 LBB’ students and 55 LBB’ mentors. The result of the dominant criteria affecting customer satisfaction of LBB in Malang by DANP method is the mentor quality. Meanwhile, the TOPSIS result showed that the LBB of Avicenna Education Malang is the best alternative to the marketing strategy..
Co-Authors Endang Wahyu Handamari Khoirunisa, Khoirunisa Krisnawati, Vira Hari Kwardiniya Andawaningtyas