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| 关于满足I(x,y)=I(x,I(x,y))D-蕴涵的解 | |
| 引用本文： | 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. |
| 作者姓名： | 李伟才 商美娟 覃锋 曹锋 |
| 作者单位： | 1. 石家庄学院数学与信息科学系,石家庄,050035 2. 江西师范大学数学与信息科学学院,南昌,330022 3. 唐山学院计算机科学与技术系,河北唐山,063000 |
| 基金项目： | 国家自然科学基金(No.60663002,No.61165014);河北省高等学校科学研究计划项目(No.Z2011119);石家庄学院自然科学基金资助项目(No.10QN004,No.11YB008) |
| 摘 要： | 研究了I(x,y)=I(x,y))方程,I为由连续三角模T、连续三角余模S和强否定n生成的D-蕴涵,即I(x,y)=S(T(n(x),n(y)),y),给出了满足方程I(x,y)=I(x,I(x,y))的解. |
| 关 键 词： | 模糊集 三角模 三角余模 D-蕴涵 函数方程 |
On D-implications solutions of equation I(x,y) = I(x,I(x,y)) |
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| LI Weicai , SHANG Meijuan , QIN Feng , CAO Feng.On D-implications solutions of equation I(x,y) = I(x,I(x,y))[J].Computer Engineering and Applications,2012,48(29):46-50. | |
| Authors: | LI Weicai SHANG Meijuan QIN Feng CAO Feng |
| Affiliation: | 1.Department of Mathematics and Information Science,Shijiazhuang University,Shijiazhuang 050035,China 2.School of Mathematics and Information Science,Jiangxi Normal University,Nanchang 330022,China 3.Department of Computer Science and Technolgy,Tangshan College,Tangshan,Hebei 063000,China |
| Abstract: | In this paper,function equation I(x,y) = I(x,I(x,y)) is discussed,where D-implication I 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. |
| Keywords: | fuzzy sets t-norms t-conorms D-implications function equations |
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