Abstract
A new definition of definite integral of fuzzy-valued function generated linearly by structural elements is given by using a kind of fuzzy distance. The convergence of the definite integral must satisfy horizontal convergence. Then, combining the definition of fuzzy limit and fuzzy derivative, the calculation of fuzzy area, fuzzy volume, fuzzy curve, and fuzzy surface is studied by using the definite integral of the fuzzy-valued function generated linearly by structural elements.
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This paper is recommended by Fang Xiao who is a associate professor of Sichuan Normal University in China.
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Shu, Tj., Mo, Zw. (2020). Application of the Definite Integral of Fuzzy-Valued Function Generated Linearly by Structural Elements. In: Cao, By. (eds) Fuzzy Information and Engineering-2019. Advances in Intelligent Systems and Computing, vol 1094. Springer, Singapore. https://doi.org/10.1007/978-981-15-2459-2_13
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DOI: https://doi.org/10.1007/978-981-15-2459-2_13
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