Abstract
Let G be any subgroup of the group of Möbius transformations and 
a set of stabilizers and their intersections. Taking a fuzzy subgroup of G given by means of stabilizers of G as the mapping 
, we examine the behaviour of the meet operation ∧ in 
.
Keywords
- Fixed points and multipliers of Möbius transformations
- conjugation
- stabilizers
- fuzzy subgroups
- meet operation
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Beardon, A.F.: The Geometry of Discrete Groups. Springer, New York (1983)
Kukkurainen, P.: Level Sets as a Topological Base Applied to Subgroups of a Group of Moebius Transformations. JACIII 9(5), 511–513 (2005)
Seppälä, M., Sorvali, T.: Geometry of Riemann Surfaces and Teichmüller spaces. North-Holland Mathematics Studies, vol. 169. North Holland, Amsterdam (1992)
Seselja, B., Tepavcevic, A.: Fuzzy groups and collections of subgroups. Fuzzy Sets and Systems 83, 85–91 (1996)
Seselja, B., Tepavcevic, A.: On a construction on codes by P-fuzzy sets. Zb. Rad. Priod.-Mat. 20, 71–80 (1990)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Kukkurainen, P. (2007). Fuzzy Subgroups with Meet Operation in the Connection of Möbius Transformations. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_44
Download citation
DOI: https://doi.org/10.1007/978-3-540-72950-1_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72917-4
Online ISBN: 978-3-540-72950-1
eBook Packages: Computer ScienceComputer Science (R0)