A new fuzzy-valued integral and its convergence theorems

Cai-Li Zhou, Xin Chen


In this paper, we generalize Kluvanek-Lewis type set-valued integral to fuzzy number measures in Banach spaces. Firstly, we introduce the new fuzzy-valued integral with some natural properties. And then, We establish Vitali type convergence theorem and dominated convergence theorem for this kind of integral.


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