| 重叠和分组函数的分配性方程求解 |
| |
| 引用本文： | 吴涛,赵彬. 重叠和分组函数的分配性方程求解[J]. 吉林大学学报(理学版), 2002, 58(1): 54-64 |
| |
| 作者姓名： | 吴涛 赵彬 |
| |
| 作者单位： | 陕西师范大学 数学与信息科学学院, 西安 710119 |
| |
| 摘 要： | 运用区间值模糊集的方法和原理, 通过引入可表示的区间值重叠函数和分组函数的概念, 结合乘法生成元对生成的重叠和分组函数, 在边界条件下给出方程I(G(x,y),z)=O(I(x,z),I(y,z))和 I(x,O1(y,z))=O2(I(x,y),I(x,z))的解, 并讨论重叠和分组函数的相关性质.
|
| 关 键 词： | 模糊蕴涵 重叠函数 分组函数 分配性 函数方程 |
| 收稿时间： | 2019-05-16 |
Solutions to Distributive Equations ofOverlap and Grouping Functions |
| |
| WU Tao,ZHAO Bin. Solutions to Distributive Equations ofOverlap and Grouping Functions[J]. Journal of Jilin University: Sci Ed, 2002, 58(1): 54-64 |
| |
| Authors: | WU Tao ZHAO Bin |
| |
| Affiliation: | School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China |
| |
| Abstract: | Using the method and principle of interval valued fuzzy set, we introduced the concepts of representable interval valued overlap and groupingfunctions, combined with overlap and grouping functions generated by the multiplicative generator pairs, under the boundary conditions, we gave the solutions to the functional equations I(G(x,y),z)=O(I(x,z),I(y,z)) and I(x,O1(y,z))=O2(I(x,y),I(x,z)), and discussed the related properties of overlap and groupling functions. |
| |
| Keywords: | fuzzy implication overlap function grouping function distributivity functional equation |
|
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
|
