Abstract
According to the fuzzy structured element representation theorem of fuzzy-valued function, under the background of engineering, this paper gives the definition of fuzzy-valued function’s first form curvilinear integral, presents the representation theorem of two-dimensional fuzzy number and fuzzy vector based on fuzzy structured element, and gives the definition of the fuzzy-valued function’s second form curvilinear integral. In fact, both calculation method and property of fuzzy-valued function’s curvilinear integral have been presented in this paper.
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Sizong, G., jian, H., Changhua, C. (2010). Fuzzy Value Function’s Curvilinear and Surface Integral Base on Fuzzy Structured Element Method (I) – Fuzzy-valued Function’s Curvilinear Integral. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_14
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DOI: https://doi.org/10.1007/978-3-642-14880-4_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14879-8
Online ISBN: 978-3-642-14880-4
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