计算机工程与应用2012，Vol.48Issue(29)：46-50,5.DOI:10.3778/j.issn.1002-8331.2012.29.009
关于满足I(x,y)=I(x,I(x,y))D-蕴涵的解
On D-implications solutions of equation I(x,y) =I(x,I(x,y))
摘要
Abstract
In this paper, function equation Ⅰ(x,y)=Ⅰ(x,Ⅰ(x,y)) is discussed, where D-implication / is generated by a continuous t-norm T , a continuous t-conorm S, and a strong negation n , I.e. Ⅰ(x,y) = S(T(n(x), n(y)),y) .It proposes the solutions of the Ⅰ(x, y)=Ⅰ(x, Ⅰ(x, y)) which is satisfied.关键词
模糊集/三角模/三角余模/D-蕴涵/函数方程Key words
fuzzy sets/ t-norms/t-conorms/ D-implications/ function equations分类
数理科学引用本文复制引用
李伟才,商美娟,覃锋,曹锋..关于满足I(x,y)=I(x,I(x,y))D-蕴涵的解[J].计算机工程与应用,2012,48(29):46-50,5.基金项目
国家自然科学基金(No.60663002,No.61165014) （No.60663002,No.61165014）
河北省高等学校科学研究计划项目(No.Z2011119) （No.Z2011119）
石家庄学院自然科学基金资助项目(No.10QN004,No.11YB008). （No.10QN004,No.11YB008）
