Fuzzy Lie Groups

Date
Authors
Nadjafikhah, M.
Bakhshandeh-Chamazkoti, R.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Keywords
Mathematics - Differential Geometry
Citation
Collections