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All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Tarmizi, Mahfuz
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Decision Sciences, Operations Research & Management Transportation

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Journal : Epsilon: Jurnal Matematika Murni dan Terapan

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GRUP FAKTOR YANG DIBANGUN DARI SUBGRUP NORMAL FUZZY Tarmizi, Mahfuz; Abdurrahman, Saman
JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON Vol 13, No 1 (2019): JURNAL EPSILON VOLUME 13 NOMOR 1
Publisher : Mathematics Department, Lambung Mangkurat University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (70.376 KB) | DOI: 10.20527/epsilon.v13i1.1240

Abstract

A Quotient group is a set which contains coset members and satisfies group definition. These cosets are formed by group and its normal subgroup. A set which contains fuzzy coset members is also called a quotient group. These fuzzy cosets are formed by a group and its fuzzy normal subgroup. The purpose of this research is to explain quotient groups induced by fuzzy normal subgroups and isomorphic between them. This research construct sets which contain fuzzy coset members, define an operation between fuzzy cosets and prove these sets under an operation between fuzzy coset satisfy group definition, and prove theorems relating to qoutient groups and homomorphism. The results of this research are  is a qoutient group induced by a fuzzy normal subgroup, where  is a fuzzy normal subgroup of a group ,  is a fuzzy coset, and the binary operation is “” where  for every . An epimorphism  from a group  to a group  and a fuzzy normal subgroup  of  which is constant on  cause quotient goup  and   are isomorphic.
Co-Authors Saman Abdurrahman