基于下截集的直觉模糊蕴涵  

Intuitionistic Fuzzy Implication Operators based on Lower Cut Sets

作　　者：石乙英[1] 袁学海 张玉春[1] 

机构地区：[1]沈阳理工大学理学院,辽宁沈阳110159 [2]大连理工大学盘锦校区基础教学部,辽宁盘锦124221

出　　处：《模糊系统与数学》2017年第6期136-144,共9页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61473327);2017年辽宁省博士启动基金资助项目

摘　　要：本文利用直觉模糊推理句"若x为A,则y为B"给出一种构造直觉模糊蕴涵的方法。首先,利用直觉模糊集A,B的下截集A~α,B~α构造模糊蕴涵关系;然后利用直觉模糊集的表现定理构造四个直觉模糊蕴涵算子;最后对所构造出算子的性质进行了讨论.In this paper, based on the representation theorem of intuitionistic fuzzy sets, using the lower cut sets, the method is proposed to resolve the question about how to construct fuzzy implication operators to inference sentence ＂If x is A, then y is B＂ where A, B are intuitionistic fuzzy sets over X and Y, respectively, then four intuitionistic fuzzy implication operators can be obtained and properties of those operators are discussed.

关 键 词：直觉模糊集 直觉模糊蕴涵算子 下截集 表现定理 

分 类 号：O159[理学—数学]