摘要
最近作者在文〔2,3,4,5〕中对Fuzzy数映射的理论进行了比较系统的研究,获得了Fuzzy数映射的可积性,无穷可测性和无穷可积性以及积分收敛定理,本文给出了Fuzzy数映射序列的无穷可和性,引进了Fuzzy数映射的支撑函数。讨论了它的可测性,可积性以及它的积分与Fuzzy数映射的积分的支撑之间的关系。
Recently,we have made the integrability,infinite measura- bility,infinite integrability,converges theorems of fuzzy number mapp- ings on measure space(Ω,A,λ)in papers[2,3,4,5].In this pap- er,first we have investigated the infinite summabity of fuzzy num- ber mapping.Next,we have introduced the Concept of support funct- ion of fuzzy number mapping.It's measurability and integrability are discussed.Finally,the integrals of support function equal to the su- pport of integrals of fuzzy number mapping are shown.
