JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 20 No. 3 (2024): May 2024

Study Of Fuzzy Groups In Z_p-{0 ̅ } Group

Imelda Bo’bo’ Batunna (Jurusan Matematika dan Statistika, Fakultas MIPA, Universitas Papua)
Harina O.L Monim (Jurusan Matematika dan Statistika, Fakultas MIPA, Universitas Papua)
Junianto Sesa (Jurusan Matematika dan Statistika, Fakultas MIPA, Universitas Papua)



Article Info

Publish Date
15 May 2024

Abstract

Group theory is a field of abstract algebra that studies the structure of sets. Some concepts that are developments of group theory are fuzzy subgroups. Suppose that G is a group, a fuzzy subset μ of G is called a fuzzy subgroup of G if it satisfies  and  for each . However, not all groups have fuzzy subgroups. The aim of this research is to show that  is a classical group with multiplication operations in the group and determine fuzzy subgroups in the group . From the research results, it is found that the subset  with prime modulo integers  and  is a classical group with group multiplication operations and the fuzzy subset in the group  is a fuzzy subgroup and in general The properties of the classical group apply to the fuzzy subgroup, namely the singularity of the identity and the singularity of the inverse. However, there are properties of classical groups that do not apply to fuzzy subgroups, namely the law of cancellation

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Journal Info

Abbrev

jmsk

Publisher

Subject

Mathematics

Description

Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi ...