Equivalent Conditions of Hermite-Hadamard Type Inequality for Sugeno Integrals
نویسنده
چکیده
The following is the classical Hermite-Hadamard inequality [4, 5]: f ( a+ b 2 ) ≤ 1 b− a (S) ∫ b a f(x)dμ ≤ f(a) + f(b) 2 . which provides estimates of the mean value of a convex function f on [a, b] where μ is the Lebesgue measure on R. This inequality in general, is not valid in the fuzzy context. In this paper, we find necessary and sufficient conditions of Hermite-Hadamard type inequality for Sugeno integrals. Mathematics Subject Classification: 26E50
منابع مشابه
The Sugeno fuzzy integral of concave functions
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