Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distances

Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distances
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基于归一化闵可夫斯基距离的模糊集扰动和模糊推理

DOI:
10.1016/j.fss.2011.07.012
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发表时间:
2012-02-16
影响因子:
3.9
通讯作者:
Wang, San-min
Wang, San-min
中科院分区:
数学2区
文献类型:
--
作者:
Dai, Songsong;Pei, Daowu;Wang, San-min

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本文在归一化Minkowski距离的基础上,推广了模糊集扰动的概念,给出了模糊集各种运算引起的扰动的一些新结论。这些运算是由三角模和余模导出的。此外,我们还讨论了模糊推理的扰动。(C)2011 Elsevier B.V.保留所有权利。
In this paper, we extend the concept of the perturbation of fuzzy sets based on normalized Minkowski distances and present some new conclusions on perturbation raised by various operations of fuzzy sets. These operations are induced by triangular norms and conorms. Furthermore, we discuss the perturbation of fuzzy reasoning. (C) 2011 Elsevier B.V. All rights reserved.