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All Journal Journal of the Indonesian Mathematical Society BAREKENG: Jurnal Ilmu Matematika dan Terapan EIGEN MATHEMATICS JOURNAL Jurnal Pengabdian Inovasi Masyarakat Indonesia Sinergi dan Harmoni Masyarakat MIPA
Putra, Lalu Riski Wirendra
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Journal : EIGEN MATHEMATICS JOURNAL

 1 
The Extended Metric Space on Max-Plus Algebra Putra, Lalu Riski Wirendra; Aini, Qurratul; Alfian, Muhammad Rijal
Eigen Mathematics Journal Vol 8 No 1 (2025): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v8i1.254

Abstract

Max-Plus Algebra is the newly emerged mathematical object as one of the algebraic structures. Max Plus Algebra is a semi-ring with the maximum operation as its addition and the plus operation as its multiplication. In 2012, Carl et.al. established a novel notion about metric in max-plus geometry which is the semi-module over the semi-ring with maximum and addition biner operations. The writer researched to discover the distance function or metric, especially for the extended real-valued metric of Max-Plus Algebra and its properties with maximum and addition biner operations. By using both direct and indirect proof methods, the distance function of Max Plus Algebra and its topological properties were obtained.
Co-Authors Abdul Gazir Syarifudin Abdurahim, Abdurahim Albaracin, Jimboy R. Farwan, Farwan Febrilia, Baiq Rika Ayu Gayatri, Marena Rahayu Ghoffari, Lalu Hasan Graha, Syifa Salsabila Satya Haryati, Ida Husni, Muhammad Naoval I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Karang, Gusti Yogananda Lestari, Sahin Two Mamika Ujianita Romdhini, Mamika Ujianita Maulana, Fariz Muhammad Rijal Alfian Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putri, Syaftirridho Qurratul Aini Rio Satriyantara Salwa Salwa Siboro, Ayes Malona Wahidah, Fathul Maulina Zata Yumni Awanis