General Fritz Carlson’s Type Inequality for Sugeno Integrals
نویسندگان
چکیده
Recently, the study of fuzzy integral inequalities has gained much attention. The most popular method is using the Sugeno integral 1 . The study of inequalities for Sugeno integral was initiated by Román-Flores et al. 2, 3 and then followed by the others 4–11 . Now, we introduce some basic notation and properties. For details, we refer the reader to 1, 12 . Suppose that Σ is a σ-algebra of subsets of X, and let μ : Σ → 0,∞ be a nonnegative, extended real-valued set function. We say that μ is a fuzzy measure if it satisfies 1 μ ∅ 0, 2 E, F ∈ Σ and E ⊂ F imply μ E ≤ μ F monotonicity ;
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