摘要
本文将直觉模糊集与反向三Ⅰ算法结合起来,研究了直觉模糊推理a-反向三Ⅰ算法,给出了IFMP、IFMT问题的直觉模糊推理a-反向三Ⅰ算法解的表达形式和分解形式.其次,借助双剩余,定义了直觉模糊集间的相似度,给出了直觉Lukasiewicz蕴涵、直觉Godel蕴涵、直觉Goguen蕴涵、直觉R0蕴涵的相似度,并分析了它们之间的关系.最后,利用直觉模糊集上的相似度作为扰动参数,讨论了直觉模糊推理a-反向三Ⅰ算法的鲁棒性,特别是,针对以上四种剩余型蕴涵算子,得到了直觉模糊推理a-反向三Ⅰ算法的一些关于鲁棒性的结论.
We combine reverse triple Ⅰ methods with intuitionistic fuzzy set,and investigate intuitionistic fuzzy inference a-reverse triple Ⅰ methods.The expression form and decomposition form of solutions of intuitionistic fuzzy inference a-reverse triple Ⅰ methods based on IFMP and IFMT problems are given.Then,similarity between intuitionistic fuzzy sets are defined by biresiduum,the similarity of intuitionistic Lukasiewicz implication,intuitionistic Godel implication,intuitionistic Goguen implication,intuitionistic Ro implication are provided,furthermore,their relationship are analysed.Finally,taking similarity on intuitionistic fuzzy sets as perturbation parameters,robustness of intuitionistic fuzzy inferencea-reverse triple Ⅰ methods are discussed,in particular,for four kinds of residual implications,some results concerning robustness of intuitionistic fuzzy inference a-reverse triple Ⅰ methods are obtained.
作者
井美
惠小静
王蓉
JING-mei;HUI Xiao-jing;WANG-rong(College of Mathematics and Computer Science,Yan’an University,Yan’an,Shaanxi 716000,China)
出处
《电子学报》
EI
CAS
CSCD
北大核心
2020年第2期265-271,共7页
Acta Electronica Sinica
基金
国家自然科学基金(No.11471007,No.61763045)。
关键词
直觉模糊推理
反向三Ⅰ算法
相似度
鲁棒性
intuitionistic fuzzy inference
reverse triple I methods
similarity
robustness
