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We introduced (λ,μ)-fuzzy ideals, (λ,μ)-fuzzy interior ideals, (λ,μ)-fuzzy quasi-ideals, and (λ,μ)-fuzzy bi-ideals of an ordered semigroup and studied them. When λ=0 and μ=1, we meet the ordinary fuzzy ones. This paper can be seen as a generalization of Kehayopulu and Tsingelis (2006), Kehayopulu and Tsingelis (2007), and Yao (2009)

journal of applied mathematics

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="bold">λ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold">μ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals

(λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals