@article{Farooq2023, 
author = {Adeel Farooq and Musawwar Hussain and Muhammad Yousaf and Ahmad N. Al-Kenani},
title = {A new algorithm to compute fuzzy subgroups of a finite group},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {20802-20814},
keywords = {fuzzy subgroups, quaternion group, dihedral group, maximal chains},
url = {https://www.sciopen.com/article/10.3934/math.20231060},
doi = {10.3934/math.20231060},
abstract = {The enumeration of fuzzy subgroups is a complex problem. Several authors have computed results for special instances of groups. In this paper, we present a novel algorithm that is designed to enumerate the fuzzy subgroups of a finite group. This is achieved through the computation of maximal chains of subgroups. This approach is also useful for writing a program to compute the number of fuzzy subgroups. We provide further elucidation by computing the number of fuzzy subgroups of the groups        Q    8   and        D    8  .}
}