Abstract
It is known that, for every normal fuzzy subgroup of a finite group, there exists a series of normal subgroups of this group. Here we prove that the length of this chain is two only. Also, we define the maximal normal fuzzy subgroup and give some of its properties in analogy to the crisp case. Also, we give the necessary and sufficient condition for it to be the derived group contained in the 1-level subgroup of a normal fuzzy subgroup. We define the subnormal, normal, and composition series of normal fuzzy subgroups and explain the interrelationship between them and the series in the crisp case.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
