General Minkowski type inequalities for Sugeno integrals
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2023, Fuzzy Sets and SystemsOn a version of fuzzy Jensen inequality based on the measure of level-set
2021, Fuzzy Sets and SystemsJensen's inequalities for set-valued and fuzzy set-valued functions
2021, Fuzzy Sets and SystemsCitation Excerpt :To build up various kinds of integral inequalities is a contemporary issue. Recently, based on different non-additive integrals, such as Sugeno integral [1,3,4,18,38], generalized Sugeno integral [23], pseudo-integral [2,34], Choquet integral [27,42,55] and so on, a lot of valuable work had been carried out. Set-valued functions [6] (multifunctions [9], correspondences [24], random sets [29]) as a notion of generalization of functions (single-valued), besides being an important mathematical field, have increasingly become an essential tool for solving problems in practice, especially for mathematical economy (problems of individual demand, mean demand, competitive equilibrium, coalition production economies) [24].
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