模糊数值函数的有界变差、绝对连续及积分表示  

Bounded Variation, Absolute Continuity and Representation for Fuzzy-number-valude Functions

作　　者：蔡侠红 叶尔 李萍[1] 王丹[1] 刘丹[1] 

机构地区：[1]西北民族大学,甘肃兰州730030

出　　处：《科技视界》2015年第20期45-47,共3页Science & Technology Vision

基　　金：国家级大学生创新创业项目(201410742045)

摘　　要：在新的模糊数的绝对值意义下,定义和讨论了模糊数值函数的有界变差、绝对连续性质。利用模糊数值函数Henstock积分,给出了模糊数值函数全变差的积分表示。The absolute continuity and bounded variation of the fuzzy-number-valued functions and the representation of the fuzzy Henstock integrable for the fuzzy-number-valued function by using the new definition of absolute values of fuzzy number. It is proved that the fuzzy absolutely continuous functions are bounded variation almost everywhere, and the integration of its H-derivative equals to the total variation of the primitive.

关 键 词：模糊数 模糊数值函数 有界变差 绝对连续 

分 类 号：O159[理学—数学]