Vague关系与基于Vague相等的Vague映射  

Vague Relations and Vague Mapping Based on Vague Equation

作　　者：傅金强[1] 吴宝增 姚炳学[1] 阎瑞霞[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252000 [2]潍坊寒亭一中数学组,山东潍坊261100

出　　处：《聊城大学学报（自然科学版）》2008年第2期8-11,共4页Journal of Liaocheng University:Natural Science Edition

基　　金：教育部科技研究重点项目(206089)

摘　　要：在文[4]的基础上系统研究了作为Zadeh模糊集理论重要扩展的Vague关系及其合成运算,并就Vague关系的性质进行了讨论.在此基础上研究了Vague等价关系,并给出了Vague映射的概念,讨论了Vague映射的一些性质.The problems of Vague relations and the compositional operations on Vague relations,which is a significant extension of fuzzy set theory by Zadeh, are systemically investigated, and some properties of Vague relations are discussed. Based on that Vague equal relation is studied. Then the concept of Vague mapping is introduced ,and various properties of Vague mapping are established.

关 键 词：VAGUE集 VAGUE关系 Vague相等 Vague映射 

分 类 号：O159[理学—数学]