Fuzzy Lie Groups
Differential Geometry
2010-10-05 v1
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 fuzzy submanifold after reviewing fuzzy manifold definition. In main section, we defined the Lie group and some its relative concepts such as fuzzy transformation group, fuzzy -invariant. Our aim is to prepare the suitable conditions for defining fuzzy differential invariant by constructing suitable objects.
Cite
@article{arxiv.0908.0254,
title = {Fuzzy Lie Groups},
author = {M. Nadjafikhah and R. Bakhshandeh-Chamazkoti},
journal= {arXiv preprint arXiv:0908.0254},
year = {2010}
}