Some convergence theorems of fuzzy concave integral on fuzzyσ-algebra  

作　　者：SUN Rong 

机构地区：[1]School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China [2]Chongqing Key Laboratory of Statistical Intelligent Computing and Monitoring,Chongqing Technology and Business University,Chongqing 400067,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第3期438-447,共10页高校应用数学学报（英文版）（B辑）

基　　金：Supported in part by the National Social Science Foundation of China(19BTJ020)。

摘　　要：In this paper,we consider the extension of the concave integral from classical crispσ-algebra to fuzzyσ-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.

关 键 词：convergence theorems fuzzy concave integral fuzzyσ-algebra 

分 类 号：O159[理学—数学]