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We consider (α, β)-fuzzy ideals, which are a generalized version of fuzzy ideals, in ordered semigroups.A connection between (α, β)-fuzzy quasi-ideals and (α, β)-fuzzy left (right) ideals is provided.The notion of (α, β)-fuzzy ideals is characterized in terms of a particular operation.We describe regular and intra-regular ordered semigroups using the concept of (α, β)fuzzy ideals.
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Jun et al. (2024) studied this question.
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