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arXiv · 0908.0254

Fuzzy Lie Groups

M. Nadjafikhah·R. Bakhshandeh-Chamazkoti
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Abstract

In this paper, we have tried to apply the concepts of fuzzy sets to Lie groups and its relative concepts. First, we define a ${\cal C}^1$ fuzzy submanifold after reviewing ${\cal C}^1-$fuzzy manifold definition. In main section, we defined the Lie group and some its relative concepts such as fuzzy transformation group, fuzzy $G$-invariant. Our aim is to prepare the suitable conditions for defining fuzzy differential invariant by constructing suitable objects.

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BibTeXRIS

M. Nadjafikhah, R. Bakhshandeh-Chamazkoti. 2009-08-03. Fuzzy Lie Groups. https://arxiv.org/abs/0908.0254

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