摘要
R_(0)蕴涵算子是一种不具有全局连续性的强蕴涵,而由其构造的直觉模糊推理反向三Ⅰ算法是否具有连续性仍是一个尚未解决的问题。为此,本文引入了直觉模糊集的自然距离,利用论域中集合的关系,证明了基于R_(0)蕴涵算子的直觉模糊推理反向三Ⅰ算法在直觉模糊取式和直觉模糊拒取式问题下都具有连续性;最后给出了反向三Ⅰ算法满足逼近性的充分条件。
R_(0)implication operator is a kind of strong implication without global continuity,and whether the intuitionistic fuzzy reasoning inverse triple Ⅰ algorithm constructed by R0implication operator has continuity is still an unsolved problem.Therefore,in this paper,the natural distance between intuitionistic fuzzy sets is introduced,and the intuitionistic fuzzy reasoning inverse triple Ⅰ algorithm based on R_(0)implication operator has continuity for Intuitionistic fuzzy modus ponens and intuitionistic fuzzy modus ponens according the relation between finite sets;Finally,a sufficient condition for the inverse triple Ⅰ algorithm to satisfy the approximation is given.
作者
唐敏之
曾水玲
TANG Min-zhi;ZENG Shui-ling(College of Information Science and Engineering,Jishou University,Jishou 416000,China)
出处
《模糊系统与数学》
北大核心
2023年第5期89-99,共11页
Fuzzy Systems and Mathematics
基金
国家自然科学基金项目(61363033,61966014)
吉首大学校级科研项目(Jdx19033,Jdy20015)
吉首大学校级科研创新项目(JGY202117)
关键词
直觉模糊推理
反向三Ⅰ算法
R_(0)蕴涵算子
连续性和逼近性
Intuitionistic Fuzzy Reasoning
Inverse Triple Ⅰ Algorithm
R_(0)Implication Operator
Continuity and Approximat
