北京师范大学学报(自然科学版)
北京師範大學學報(自然科學版)
북경사범대학학보(자연과학판)
JOURNAL OF BEIJING NORMAL UNIVERSITY
2015年
2期
120-125
,共6页
相似度%广义梯形模糊数%模糊决策%故障诊断%DS证据理论
相似度%廣義梯形模糊數%模糊決策%故障診斷%DS證據理論
상사도%엄의제형모호수%모호결책%고장진단%DS증거이론
similarity measure%generalized trapezoidal fuzzy number%fuzzy decision%fault diagnosis%DS evidence theory
针对模糊数相似度计算问题,提出一种新的基于广义梯形模糊数的相似度量方法,在保证度量有效性的前提下,降低相似度的计算复杂性,提高其区分度,扩大其适用范围。给出区分性、无效率和不合理率三个评价指标,以对不同相似度方法进行比较。实验结果表明新方法具有较好的性能。最后,通过基于 DS 证据理论的故障诊断实例说明所提方法的合理性和可用性。
針對模糊數相似度計算問題,提齣一種新的基于廣義梯形模糊數的相似度量方法,在保證度量有效性的前提下,降低相似度的計算複雜性,提高其區分度,擴大其適用範圍。給齣區分性、無效率和不閤理率三箇評價指標,以對不同相似度方法進行比較。實驗結果錶明新方法具有較好的性能。最後,通過基于 DS 證據理論的故障診斷實例說明所提方法的閤理性和可用性。
침대모호수상사도계산문제,제출일충신적기우엄의제형모호수적상사도량방법,재보증도량유효성적전제하,강저상사도적계산복잡성,제고기구분도,확대기괄용범위。급출구분성、무효솔화불합리솔삼개평개지표,이대불동상사도방법진행비교。실험결과표명신방법구유교호적성능。최후,통과기우 DS 증거이론적고장진단실례설명소제방법적합이성화가용성。
almed at the similarity measure of fuzzy numbers,a new method to calculate similarity measure for Generalized Trapezoidal Fuzzy Numbers (GTFN)was proposed.This method can ensure the effectiveness of similarity measure,reduce complexity of computation and extend its distinguishability and application scope. Three evaluation indexes were also introduced:distinction property,inefficient rate,unreasonable rate to evaluate different similarity measures.Data showed that this proposed method gave improved performance. The method was then applied to fault diagnosis based on DS evidence theory to illustrate the proposed similarity measure being reasonable and avallable.