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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,...
In fuzzy control, practical fuzzy reasoning schemes are likely to be perturbed by various types of noise, and thus analysis of the stability and robustness of fuzzy reasoning are important issue. We used a concept similar to the modulus of continuity to characterize the robustness of fuzzy connectives and present robustness results for various fuzzy connectives. We investigated the robustness of fuzzy...
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