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In this paper, we study the concept of fuzzy-ideals and fuzzy-filters of an ordered group. We provide several characterizations for fuzzy-ideals and fuzzy-filters in different perspective. We observe that for any fuzzy convex sub-group we can find a fuzzy-ideal and a fuzzy-filter containing it. Finally, for any fuzzy convex sub-group can be expressed as the intersection of some fuzzy-ideals and fuzzy-filters containing it.

Some results on fuzzy ℓ-ideals and fuzzy ℓ-filters in ℓ-group