Cui Lian You, Huae Huo
Abstract
When calculating Liu integral, it is difficult to use the definition of Liu integral directly. As we know, the mean value theorem of integral is an important tool to calculate Riemann integral, inspired by this, the mean value theorem of a new kind of fuzzy integral was obtained in this paper.
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When calculating Liu integral, it is difficult to use the definition of Liu integral directly. As we know, the mean value theorem of integral is an important tool to calculate Riemann integral, inspired by this, the mean value theorem of a new kind of fuzzy integral was obtained in this paper.
Key concepts: Riemann integral, Mean value theorem (divided differences), Mathematics, Daniell integral, Fundamental theorem of calculus, Line integral, Fuzzy logic, Value (mathematics)