Fuzzy Lie Groups

Details Fuzzy Lie Groups Fuzzy Lie Groups

2009-08-03

arxiv.org/abs/0908.0254v1

Mathematical Sciences(2008)

Mathematics

Differential Geometry

Scientific paper

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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