基于强正则蕴涵算子的加权模糊度量空间  

Weighted fuzzy metric spaces based on strong regular implication operators

作　　者：李骏[1] 付超[1] LI Jun;FU Chao(School of Science, Lanzhou University of Technology, Lanzhou 730050, China)

机构地区：[1]兰州理工大学理学院,兰州730050

出　　处：《计算机工程与应用》2017年第5期31-35,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11261032);兰州理工大学博士基金

摘　　要：在强正则蕴涵算子的统一框架下给出了加权正则度量的定义,建立了基于强正则蕴涵算子的加权正则模糊度量空间,并且研究了该模糊度量空间的性质,分析了常用的逻辑连接词所对应的映射关于加权正则度量的连续性,最后证明了基于Lukasiewicz蕴涵的加权正则模糊度量空间是最适宜于展开模糊推理的模糊度量空间。The concept of weighted regular metric is proposed in the unified framework of strong regular implication operators. The weighted fuzzy metric space is established based on strong regular implication operators and its properties are studied. Continuity of mappings corresponding to commonly used logic connectives is analyzed. Finally, it is proved that the weighted regular fuzzy metric space based on Lukasiewicz implication is most suitable for developing fuzzy reasoning.

关 键 词：模糊度量空间 模糊推理 强正则蕴涵算子 加权正则度量 

分 类 号：O141.1[理学—数学]