A new definition for nilpotent fuzzy subgroups

In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup. Since this is similar to group theory's definition so it is much more easier than before to study on properties of nilpotent fuzzy gro...

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Bibliographic Details
Published in2015 4th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS) pp. 1 - 4
Main Authors Mohammadzadeh, E., Borzooei, R. A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.09.2015
Subjects
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Fuzzy sets
Intelligent systems
Yttrium
Zinc
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Summary:In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup. Since this is similar to group theory's definition so it is much more easier than before to study on properties of nilpotent fuzzy groups. Basically, we show that a group G is nilpotent if and only if any fuzzy subgroups of G is a g-nilpotent fuzzy subgroup of G.
DOI:10.1109/CFIS.2015.7391663