FRATTINI FUZZY SUBGROUPS OF FUZZY GROUPS

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Journal of Universal Mathematics
Volume:2 Issue:2
FRATTINI FUZZY SUBGROUPS OF FUZZY GROUPS

FRATTINI FUZZY SUBGROUPS OF FUZZY GROUPS

Authors : Paul Augustine EJEGWA, J A OTUWE

Pages : 175-182

View : 48 | Download : 12

Publication Date : 2019-07-29

Article Type : Research Paper

Abstract :This paper continues the study of fuzzy group theory which has been explored over times. We propose maximal fuzzy subgroups and Frat tini fuzzy subgroups of fuzzy groups as extensions of maximal subgroups and Frattini subgroups of classical groups. It is shown that every Frattini fuzzy subgroup is both characteristic and normal, respectively. Finally, some results are established in connection to level subgroups and alpha cuts of fuzzy groups.
Keywords : Fuzzy sets, Fuzzy groups, Fuzzy subgroups, Characteristic fuzzy sub groups, Frattini Fuzzy Subgroups

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