复模糊集值复模糊积分及其性质  

Complex fuzzy set-valued complex fuzzy integrals and their properties

作　　者：马生全[1,2] 李生刚[1] 赵虎[1] 周敏[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]海南师范大学信息科学技术学院,海口571158

出　　处：《兰州大学学报（自然科学版）》2015年第1期109-114,共6页Journal of Lanzhou University(Natural Sciences)

基　　金：国家国际科技合作专项项目(2012DFA11270);国家自然科学基金项目(11071151)

摘　　要：基于改进的实可测函数概念和新定义的模糊数值函数可测性概念,定义了复模糊集值复模糊可测函数概念,研究了复模糊集值复模糊测度空间上模糊复集值可测函数的性质、模糊复值积分及其收敛定理.Based on the notion of improved real measurable function and a newly defined notion of fuzzy numerical measurable function, the concept of complex fuzzy set-valued complex fuzzy measurable function is defined, the properties of this kind of functions on a complex fuzzy set-valued complex fuzzy measure space, and fuzzy complex set-valued fuzzy integrals and their convergence theorems were studied.

关 键 词：复模糊集 复模糊集值测度 复模糊集值复模糊积分 

分 类 号：O159[理学—数学]