Abstract
By considering the actual problems of fuzzy complex value integral in classification technologies and to study the basic types and relevant theory of fuzzy complex set-valued integral, it is significant to study special forms of fuzzy complex set-valued integral and its related properties in order to apply fuzzy complex set-valued integral algorithm effectively in multiple classifier fusion. In this paper, concepts and basic properties of the Sugeno complex fuzzy set-valued integral, Choquet complex fuzzy set-valued integral, (N)-complex fuzzy set-valued integral and (G) generalized complex fuzzy set-valued integral are introduced. And, some convergence theorems of the complex fuzzy set-valued integral are introduced and proved, which lays a foundation for the research and application of the fuzzy complex set-valued integral theory.
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Acknowledgements
Fund Projects Research project of higher education and teaching reform in Hainan province (HNJG 2019-48), Special Funded Projects for National International Cooperation in Scientific, Technological (No. 2012DFA11270), Hainan Natural Science Fund (No. 117123) and Hainan Higher Education Reform Project (HNJG 2019-48).
Thanks for the recommendation of professor Xiao-wen Liu for his recommendation of this article.
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Zhang, XP., Mo, ZJ., Shen, J., Ma, SQ. (2020). Some Typical Fuzzy Complex Set-Valued Integrals. 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_14
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DOI: https://doi.org/10.1007/978-981-15-2459-2_14
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