Level Sets as a Topological Base Applied to Subgroups of a Group of Moebius Transformations

Paavo Kukkurainen

doi:10.20965/jaciii.2005.p0511

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JACIII Vol.9 No.5 pp. 511-513

doi: 10.20965/jaciii.2005.p0511

(2005)

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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, 2004

Accepted:

April 28, 2005

Published:

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.

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