Random fuzzy number integrals in Banach spaces

1994 ◽  
Vol 66 (1) ◽  
pp. 97-111 ◽  
Author(s):  
Xue Xiaoping ◽  
Ha Minghu ◽  
Ma Ming
Keyword(s):  
Banach Spaces ◽  
Fuzzy Number

scholarly journals A new fuzzy-valued integral and its convergence theorems

Filomat ◽  
2019 ◽  
Vol 33 (7) ◽  
pp. 1877-1887
Author(s):  
Cai-Li Zhou ◽  
Xin Chen
Keyword(s):  
Banach Spaces ◽  
Convergence Theorem ◽  
Fuzzy Number ◽  
Convergence Theorems ◽  
Natural Properties ◽  
Dominated Convergence

In this paper, we generalize Kluv?anek-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.

scholarly journals Lebesgue Decomposition Theorem and Weak Radon-Nikodým Theorem for Generalized Fuzzy Number Measures

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Cai-Li Zhou ◽  
Fu-Gui Shi
Keyword(s):  
Banach Spaces ◽  
Fuzzy Number ◽  
Decomposition Theorem ◽  
Lebesgue Decomposition ◽  
Generalized Fuzzy Number ◽  
Lebesgue Type Decomposition ◽  
Nikodym Theorem ◽  
Type Decomposition

The Lebesgue type decomposition theorem and weak Radon-Nikodým theorem for fuzzy valued measures in separable Banach spaces are established.

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