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arXiv · 1403.3769

Fuzzy Cosets and Quotient Fuzzy AG-subgroups

Amanullah·Imtiaz Ahmad·Muhammad Shah
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Abstract

In this paper we extend the concept of fuzzy AG-subgroups. We introduce some results in normal fuzzy AG-subgroups. We define fuzzy cosets and quotient fuzzy AG-subgroups, and prove that the sets of their collection form an AG-subgroup and fuzzy AG-subgroup respectively. We also introduce the fuzzy Lagrange's Theorem of AG-subgroup. It is known that the condition $\mu(xy)=\mu(yx)$ holds for all $x,y$ in fuzzy subgroups if $\mu$ is normal, but in fuzzy AG-subgroup we show that it holds without normality.

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Amanullah, Imtiaz Ahmad, Muhammad Shah. 2014-03-15. Fuzzy Cosets and Quotient Fuzzy AG-subgroups. https://arxiv.org/abs/1403.3769

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