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Some convergence theorems of fuzzy concave integral on fuzzy σ-algebra

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In this paper,we consider the extension of the concave integral from classical crispσ-algebra to fuzzy σ-algebra of fuzzy sets.Firstly,the concept of fuzzy concave integral on a fuzzy set is introduced.Secondly,some important properties of such integral are discussed.Finally,various kinds of convergence theorems of a sequence of fuzzy concave integrals are proved.

convergence theoremsfuzzy concave integralfuzzy σ-algebra

SUN Rong

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School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China

Chongqing Key Laboratory of Statistical Intelligent Computing and Monitoring,Chongqing Technol-ogy and Business University,Chongqing 400067,China

National Social Science Foundation of China

19BTJ020

2024

高校应用数学学报B辑(英文版)
浙江大学 中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子:0.146
ISSN:1005-1031
年,卷(期):2024.39(3)