计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2015年
12期
208-212
,共5页
模糊集%直觉模糊集%直觉模糊数%相似度量
模糊集%直覺模糊集%直覺模糊數%相似度量
모호집%직각모호집%직각모호수%상사도량
fuzzy sets%intuitionistic fuzzy sets%intuitionistic fuzzy values%similarity measures
直觉模糊集概念产生于模糊集概念,自Atanassov提出这个概念以来,已得到了众多研究者的关注并被应用到不同的领域。作为直觉模糊理论的一个重要研究内容,研究者已在不同文献中提出多种不同的直觉模糊集相似度量方法,但这些方法在一些特殊情况下并不总是有效。指出了影响直觉模糊集(数)相似度量的因素,分析了现有方法存在不足的原因,提出了一种综合考虑隶属度、非隶属度、犹豫度、核及其相互影响后的新的相似度量方法,指出并证明了该方法所具有的新的性质。数字实例表明该方法可以克服现存几种方法的缺陷,结果符合人们直觉,具有更强的区分数据能力。
直覺模糊集概唸產生于模糊集概唸,自Atanassov提齣這箇概唸以來,已得到瞭衆多研究者的關註併被應用到不同的領域。作為直覺模糊理論的一箇重要研究內容,研究者已在不同文獻中提齣多種不同的直覺模糊集相似度量方法,但這些方法在一些特殊情況下併不總是有效。指齣瞭影響直覺模糊集(數)相似度量的因素,分析瞭現有方法存在不足的原因,提齣瞭一種綜閤攷慮隸屬度、非隸屬度、猶豫度、覈及其相互影響後的新的相似度量方法,指齣併證明瞭該方法所具有的新的性質。數字實例錶明該方法可以剋服現存幾種方法的缺陷,結果符閤人們直覺,具有更彊的區分數據能力。
직각모호집개념산생우모호집개념,자Atanassov제출저개개념이래,이득도료음다연구자적관주병피응용도불동적영역。작위직각모호이론적일개중요연구내용,연구자이재불동문헌중제출다충불동적직각모호집상사도량방법,단저사방법재일사특수정황하병불총시유효。지출료영향직각모호집(수)상사도량적인소,분석료현유방법존재불족적원인,제출료일충종합고필대속도、비대속도、유예도、핵급기상호영향후적신적상사도량방법,지출병증명료해방법소구유적신적성질。수자실례표명해방법가이극복현존궤충방법적결함,결과부합인문직각,구유경강적구분수거능력。
The concept of intuitionistic fuzzy set originates from the concept of fuzzy set. It has drawn many researchers’ attentions since it is proposed by Atanassov, and has been applied into different fields. As an important research content of intuitionistic fuzzy theory, many different methods have been published by different researchers to measure the similarity between intuitionistic fuzzy sets. However, these methods are not always effective in some special cases. This paper points out the factors influencing similarity measurements between intuitionistic fuzzy sets(values), analyzes the defects reasons of existing methods, proposes an improved method of similarity measurement which comprehensively considers membership, non-membership, hesitation, core, and their mutual influence, indicates and proves the new features of this method. Numerical results show that this proposed method solves the defects of existing methods, yielding result closer to peoples’intuitionistic. It provides stronger data distinguish ability.