计算机科学 ›› 2016, Vol. 43 ›› Issue (10): 277-281.doi: 10.11896/j.issn.1002-137X.2016.10.052

• 人工智能 • 上一篇    下一篇

区间值三I算法的鲁棒性

罗敏霞,程泽   

  1. 中国计量学院理学院 杭州310018,中国计量学院理学院 杭州310018
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受基金项目(61273018,0)资助

Robustness of Interval-valued Triple I Algorithms

LUO Min-xia and CHENG Ze   

  • Online:2018-12-01 Published:2018-12-01

摘要: 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。

关键词: 区间值三角范数,区间值剩余蕴涵,区间值三I算法,模糊连接词的灵敏度

Abstract: 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 interval-valued Gdel implication,Lukasiewize implication,Goguen implication and their corresponding t-norms are discussed.Finally,we investigated the robustness of interval-valued fuzzy inference full implication triple I algorithm.

Key words: Interval-valued t-norms,Interval-valued residual implication,Interval-valued triple I algorithms,Sensitivity of fuzzy connectives

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