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학술저널

FUZZY LINEARITY OF THE FUZZY INTEGRAL

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We introduce a concept of fuzzy linearity: A function F : L⁰(X) → ℝ is fuzzy linear if F [(a ᐱ f) ᐯ (b ᐱ g)] = [a ᐱ F(f)] ᐯ [b ᐱ F(g)] for f, g ∊ L⁰(X) and a, b > 0. We show that a fuzzy integral is fuzzy linear if the measure is fuzzy c-additive.

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