Paper Info
Title
Robustness of fuzzy connectives and fuzzy reasoning with respect to general divergence measures.
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.
Year
DOI
Venue
2016
10.1016/j.fss.2015.07.008
Fuzzy Sets and Systems
Keywords
Field
DocType
Dissimilarity function,Biresiduation,Divergence measure,DF-metric,Perturbation,Robustness,Fuzzy reasoning
Discrete mathematics,Neuro-fuzzy,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy measure theory,Fuzzy mathematics,Fuzzy set,Fuzzy number,Mathematics
Journal
Volume
ISSN
Citations 
294
0165-0114
4
PageRank 
References 
Authors
0.40
29
4
Name
Order
Citations
PageRank
Yingfang Li1687.41
Keyun Qin248039.80
Xingxing He38413.90
Dan Meng447667.10