Translates of (Anti) Fuzzy Submodules
نویسنده
چکیده
As an abstraction of the geometric notion of translation, author in [8] has introduced two operators T+ and Tcalled the fuzzy translation operators on the fuzzy set and studied their properties and also investigated the action of these operators on the (Anti) fuzzy subgroups of a group in [8] and (Anti) fuzzy subring and ideal of a ring in [9]. The notion of anti fuzzy submodule of a module has also been introduced by the author in [6, 7]. In this paper, we investigate the action of these two operators on (Anti) fuzzy submodules of a module and prove that they are invariant under these translations. But converse of this is not true. We also obtain the conditions, when the converse is also true.
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