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عنوان
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Sugeno and Pseudo-Integrals for Convex Functions
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Hermite-Hadamard's inequality, Fuzzy integral inequality, Semiring, Pseudo-integral, Pseudo-operation, Sugeno integral, s-convex.
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چکیده
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We generalize the Hermite-Hadamard type inequality for pseudo-integrals in two cases of the semirings. One of them deals with pseudo-operations and that are de ned by a comonotone and continuous function. The other one concerns the = sup and a generated pseudo-multiplication. We also provide further discussion. We investigate this inequality of s-convex functions of the rst kind, for Sugeno integrals, and generalize it to some cases. Furthermore, we generalize and prove Hermite-Hadamard's inequality of functions belonging to the rst kind class for pseudo-integrals and o er additional discussion on this topic.
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پژوهشگران
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بیاض دارابی (نفر اول)، زهرا سلطانی کامل آباد (نفر دوم)
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