辽宁工程技术大学学报（自然科学版）Issue(3)：397-400,4.
区间值模糊集的分解定理及相似度的计算
Decomposition theorem of interval-valued fuzzy sets and calculation of similarity measure
摘要
Abstract
The similarity formulas of interval-valued fuzzy sets proposed in the past years are empirical formulas without a theoretical basis. In order to provide a theoretical basis, a new concept of cut set of interval-valued fuzzy sets is established and the method of calculating the similarity between interval-valued fuzzy sets is investigated. The results show that the newly proposed concept is an extension of existing concept. The decomposition theorem of interval-valued fuzzy set is derived and a new method of calculating the similarity formula of interval-valued fuzzy sets is proposed based on the new cut set. In addition, the connection between the similarity of fuzzy set and the similarity of interval-valued fuzzy set is established. The new method can be applied in the study of fuzzy risk analysis and has a theoretical significance in fuzzy risk analysis.关键词
模糊集/区间值模糊集/三值模糊集/截集/强截集/分解定理/相似度/风险分析Key words
fuzzy sets/interval-valued fuzzy sets/three-valued fuzzy sets/cut sets/strong cut sets/decomposition theorem/similarity degrees/risk analysis分类
数理科学引用本文复制引用
张成,郭佳,赵植武,裴炳南..区间值模糊集的分解定理及相似度的计算[J].辽宁工程技术大学学报（自然科学版）,2013,(3):397-400,4.基金项目
国家自然科学基金资助项目(60971107) （60971107）
