区间值三I算法的鲁棒性

Robustness of Interval-valued Triple I Algorithms

基于正规Minkowski距离研究了区间值三I算法的鲁棒性。首先,给出区间值模糊连接词的最大灵敏度和区间值模糊集扰动的定义;其次,基于正规Minkowski距离分别讨论了区间值Godel蕴涵、Lukasiewize蕴涵、Goguen蕴涵以及它们各自对应的区间值三角范数的灵敏度;最后,研究了区间值模糊推理全蕴涵三I算法的鲁棒性。

In this paper, the robustness of interval-valued triple I algorithms based on normalized Minkowski distance was investigated. Firstly, the concepts of maximum sensitivity of interval-valued fuzzy connectives and perturbation of interval-valued fuzzy sets are proposed. Secondly,based on the normalized Minkowski distance, the sensitivity of inter- val-valued GOdel implication, Lukasiewize implication, Goguen implication and their corresponding t-norms are dis- cussed. Finally, we investigated the robustness of interval-valued fuzzy inference full implication triple I algorithm.