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All Journal Jambura Journal of Mathematics Journal Intellectual Sufism Research
'Azizah, Nilatul
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Peranan Konsep Nilai-nilai Matematika dalam Internalisasi Insan Kamil 'Azizah, Nilatul; Fitriya, Ita
Journal Intellectual Sufism Research (JISR) Vol 4 No 1 (2021): Journal Intellectual Sufism research (JISR)
Publisher : http://jagadalimussirry.com/

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52032/jisr.v4i1.104

Abstract

The lack of knowledge and understanding of human beings to the values implied in mathematics that causes mathematics is considered as a lesson that is very contrary to the concept of religion, especially the field of Sufism when in fact mathematics is a means provided by Allah SWT to facilitate people to carry out the task of servitude and the task of the caliphate to the level of insan kamil. This research uses a qualitative approach. Literature review was used to obtain research data. The results of this study state that the concept of mathematical values in the internalization of insan kamil is to encourage humans to develop problem solving skills, communication skills, and reasoning skills to face every situation and problem in life. This discussion also presented that mathematics in addition to teaching to think and reason but also teach honest, humble, not arrogant, sincere, iffah, consistent and systematic attitude. This is a reflection of insan kamil.
Identify Solutions to Systems of Linear Latin for Square Equations over Maxmin-ω 'Azizah, Nilatul; Mufid, Muhammad Syifa'ul
Jambura Journal of Mathematics Vol 7, No 1: February 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i1.30278

Abstract

Maxmin-\omega algebra is a mathematical system that generalizes maxmin algebra by introducing the parameter \omega (0 \omega \leq 1), which regulates the algebraic operations to enhance its applicability in optimization and decision-making processes. When \omega=1, the system corresponds to the max operation, whereas for \omega approaching 0, it behaves like the min operation. This research investigates the solution characteristics of a linear equation system in maxmin-\omega algebra, specifically A \otimes_{\omega} \textbf{x} = \textbf{b}, where A is a Latin square matrix. Understanding these solutions is crucial for determining the conditions of existence and uniqueness, which will ultimately influence the development of more efficient solution methods for various applications. Furthermore, the study analyzes the impact of the value of \omega and the matrix permutation structure on the solutions of the system. This study employs an analytical approach utilizing maxmin-\omega algebra theory to determine solution existence and assess the impact of \omega variations in linear equations with Latin square matrices. The results reveal that the solution existence heavily depends on the composition of matrix A and the vector \textbf{b}. We show that in specific cases where the matrix \( A \) is a Latin square and the vector \( \mathbf{b} \) satisfies certain constraints, the system has a unique solution in both the max-plus (\(\omega = 1\)) and min-plus (\(\omega = \frac{1}{n}\)) approaches. Moreover, column permutations of A do not affect the existence of solutions. However, row and element permutations alter the system structure, meaning solutions are not always guaranteed.
Co-Authors Fitriya, Ita Mufid, Muhammad Syifa'ul