The controlled convergence theorems for the strong Henstock integrals of fuzzy-number-valued functions
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- 作者：Zengtai Gong ; Yabin Shao
- 关键词：Fuzzy number ; Fuzzy-number-valued function ; Strong fuzzy Henstock integrals ; Controlled convergence theorem
- 刊名：Fuzzy Sets and Systems
- 出版年：2009
- 出版时间：1 June 2009
- 年：2009
- 卷：160
- 期：11
- 页码：1528-1546
- 全文大小：257 K
文摘
In this paper, we discuss the properties of the strong Henstock integrals of the fuzzy-number-valued functions using the notion of generalized derivatives, and prove the controlled convergence theorem for such integrals. Also, we present the concept of equi-integrability of a sequence for fuzzy-number-valued functions. Under this concept, we prove another controlled convergence theorem and establish the relationships between the above two controlled convergence theorems.