FUZZY SUBGROUPS AND CERTAIN EQUIVALENCE RELATIONS
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Abstract:
In this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group G and give four equivalent conditions each ofwhich characterizes this relation. We demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. Moreover, we study the behavior of these equivalence classes under theaction of a group homomorphism.
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Journal title
volume 3 issue 2
pages 75- 91
publication date 2006-10-21
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