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Level Sets as a Topological Base Applied to Subgroups of a Group of Moebius Transformations
Paavo Kukkurainen
Laboratory of Applied Mathematics, Lappeenranta University of Technology, P.O. Box 20, FIN-53851 Lappeenranta, Finland
Received:December 13, 2004Accepted:April 28, 2005Published:September 20, 2005
Keywords:fuzzy set and subgroup, Moebius transformation, stabilizer, group, topological base
Abstract
We applied the theory of Moebius transformations, known in complex analysis, to fuzzy subgroups. We start using the two results presented by B. Seselja and A. Tepavcevic [4,5], taking a topological view point not in these papers. This leads to topological subgroups of a group of Moebius transformations. Although this is known in complex analysis, we approach it through of fuzzy concepts.
Cite this article as:P. Kukkurainen, “Level Sets as a Topological Base Applied to Subgroups of a Group of Moebius Transformations,” J. Adv. Comput. Intell. Intell. Inform., Vol.9 No.5, pp. 511-513, 2005.Data files:
