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延安大学数学与计算机科学学院,陕西,延安,716000
网络出版:2020-02-25,
纸质出版:2020
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井美, 惠小静, 王蓉. 基于相似度的直觉模糊推理反向三I算法的鲁棒性[J]. 电子学报, 2020,48(2):265-271.
JING-mei, HUI Xiao-jing, WANG-rong. Robustness of Intuitionistic Fuzzy Inference Reverse Triple I Methods Based on Similarity[J]. Acta Electronica Sinica, 2020, 48(2): 265-271.
井美, 惠小静, 王蓉. 基于相似度的直觉模糊推理反向三I算法的鲁棒性[J]. 电子学报, 2020,48(2):265-271. DOI: 10.3969/j.issn.0372-2112.2020.02.006.
JING-mei, HUI Xiao-jing, WANG-rong. Robustness of Intuitionistic Fuzzy Inference Reverse Triple I Methods Based on Similarity[J]. Acta Electronica Sinica, 2020, 48(2): 265-271. DOI: 10.3969/j.issn.0372-2112.2020.02.006.
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
-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Łukasiewicz蕴涵、直觉Gödel蕴涵、直觉Goguen蕴涵、直觉
R
0
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
-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
-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
- reverse triple I methods. The expression form and decomposition form of solutions of intuitionistic fuzzy inference
- 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 Łukasiewicz implication
intuitionistic Gödel implication
intuitionistic Goguen implication
intuitionistic
o
implication are provided
furthermore
their relationship are analysed. Finally
taking similarity on intuitionistic fuzzy se
ts 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
- reverse triple I methods are obtained.
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