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2014 | OriginalPaper | Chapter

The Complex Fuzzy Measure

Authors : Sheng-quan Ma, Mei-qin Chen, Zhi-qing Zhao

Published in: Fuzzy Information & Engineering and Operations Research & Management

Publisher: Springer Berlin Heidelberg

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Abstract

In this paper, we define the concept of complex Fuzzy measure, which is different from the concept of complex Fuzzy measure in [2], and discuss its properties and theorems. On the basis of the concept of complex Fuzzy measurable function in [2], we study its convergence theorem. It builds the certain foundation for the research of complex Fuzzy integral.

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previous chapter Characterizations of -Quasi Uniformity and Theory of -P.Q. Metrics
next chapter Fuzzy -Ideals of BCH-Algebras
Literature
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2.
Jiqing, Q., Fachao, L., Liangqing, S.: Complex fuzzy measure and complex fuzzy integral. J. Hebei Inst. Chem. Technol Light Ind. 18(1), 1–5 (1997)
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Wenxiu, Z.: An Introduction of Fuzzy Mathematics. Xi’an Jiaotong University Press (1991)
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Congxin, W.: Fuzzy Analysis. pp. 24–28. National Defense Industry Press, Beijing (1991)
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Guangquan, Z.: Fuzzy Limit theory of fuzzy Complex numbers.Fuzzy Sets and Systems 46, 227–235 (1992)
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Shengquan, M., Chun, C.: Fuzzy complex analysis. The Ethnic publishing house, Beijing (2001)
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Jiqing, Q.,Ting, S.: Relation on Convergence of Measurable Functions Sequence on Fuzzy Complex Measure Space. Fuzzy Sets and Systems 21, 92–96 (2007)
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Shengquan, M.: The fundamental theory of fuzzy complex analysis. Science Press, Beijing (2010)
Metadata
Title
The Complex Fuzzy Measure
Authors
Sheng-quan Ma
Mei-qin Chen
Zhi-qing Zhao
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
Book
Fuzzy Information & Engineering and Operations Research & Management

Print ISBN: 978-3-642-38666-4

Electronic ISBN: 978-3-642-38667-1

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-642-38667-1_15

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