Fuzzy subgroups applied to subgroups of the group of Moebius transformations
نویسنده
چکیده
Let F be a family of subgroups of a group G = (G, ·) such that ⋃F = G. Then P = (F,≤) is a partially ordered set (with an order dual to ⊆) and let a mapping A: G −→ P be a P-(fuzzy) subgroup of a group G defined by (6). The theory of fuzzy-subgroups is known [2] but in this paper we will apply it to the theory of Riemann surfaces. Mbius transformations form a group M and we introduce a connection between subgroups G ⊆ M and the P-subgroups A: G −→ P. Finally, there are some examples which illustrates the situation.
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