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• W4381384206 abstract "We propose the set-valued pan-integral of set-valued function based on number-valued fuzzy measure and present some basic properties. By means of a preorder on the class of all nonempty set of R1, we show the monotonicity of set-valued pan-integral in the sense of the preorder. We introduce an equivalence relation based on the preorder and demonstrate the linearity of set-valued pan-integral in the sense of the equivalence relation. The relationships of the set-valued pan-integral and the set-valued Choquet integral are discussed. Chebyshev's inequality of set-valued pan-integrals is shown. An open problem concerning the linearity of the set-valued pan-integral is raised." @default.
• W4381384206 created "2023-06-21" @default.
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• W4381384206 date "2023-09-01" @default.
• W4381384206 modified "2023-10-12" @default.
• W4381384206 title "Pan-integrals of set-valued functions based on fuzzy measures" @default.
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• W4381384206 doi "https://doi.org/10.1016/j.fss.2023.108632" @default.
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