CAJ | 학술논문

针对区间值模糊集相似度公式只是经验公式并没有理论依据问题.建立了区间值模糊集新的截集概念,研究了相似度计算方法.结果表明:所建立的新截集概念是以往截集概念的推广.在新截集理论的基础上,进一步给出了区间值模糊集的分解定理;根据该截集发展出一种推导区间值模糊集相似度的方法,建立了模糊集相似度与区间值模糊集相似度之间的联系,可进一步应用到模糊风险分析研究中.
침대구간치모호집상사도공식지시경험공식병몰유이론의거문제.건립료구간치모호집신적절집개념,연구료상사도계산방법.결과표명:소건립적신절집개념시이왕절집개념적추엄.재신절집이론적기출상,진일보급출료구간치모호집적분해정리;근거해절집발전출일충추도구간치모호집상사도적방법,건립료모호집상사도여구간치모호집상사도지간적련계,가진일보응용도모호풍험분석연구중.
@@@@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.