| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 389511 | Fuzzy Sets and Systems | 2016 | 16 Pages |
Abstract
This paper discusses the robustness of fuzzy connectives and fuzzy reasoning with respect to general divergence measures. First of all, the concept of DF-metric is proposed. Secondly, several DF-metrics are introduced as well as their properties and some inequalities about them. Then a formula of divergence measure composed by DF-metric is presented. Finally, based on the proposed divergence measures, the concept of perturbations of fuzzy sets is extended. According to the extended concept, the perturbation parameters raised by various fuzzy connectives are studied and the perturbations of fuzzy reasoning are also investigated.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Yingfang Li, Keyun Qin, Xingxing He, Dan Meng,