# Complex Fuzzy Set-Valued Complex Fuzzy Integral and Its Convergence Theorem

Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 367)

## Abstract

This paper is devoted to propose the convergence problem of complex fuzzy set-valued complex fuzzy integral base on the complex fuzzy sets values complex fuzzy measure. We introduces the concepts of the complex fuzzy set-valued complex fuzzy measure in [1], the complex fuzzy set-valued measurable function in [2], and the complex fuzzy set-valued complex fuzzy integral in [3]. And then, we focuses on convergence problem of complex fuzzy set-valued complex fuzzy integral, obtained some convergence theorems.

### Keywords

Complex fuzzy set-valued measure Complex fuzzy set-valued measurable function Complex fuzzy set-valued complex fuzzy integral Convergence theorem

## Notes

### Acknowledgments

Thanks to the support by International Science & Technology Cooperation Program of China (No. 2012DFA11270).

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## Copyright information

© Springer International Publishing Switzerland 2016

## Authors and Affiliations

1. 1.College of Mathematics and Information ScienceShanxi Normal UniversityXi’anChina
2. 2.School of Information and TechnologyHainan Normal UniversityHaikouChina