| 基于模糊蕴涵的分配性方程 |
| |
| 引用本文： | 杨丽,覃锋.基于模糊蕴涵的分配性方程[J].模糊系统与数学,2010,24(3). |
| |
| 作者姓名： | 杨丽 覃锋 |
| |
| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330022 |
| |
| 基金项目： | 国家自然科学基金资助项目，江西省自然科学基金资助项目，江西省教育厅科学技术研究项目 |
| |
| 摘 要： | 研究函数方程组I(x,T(y,z))=T(I(x,y),I(x,z)),I(x,y)=I(N(y),N(x))的解,其中T:0,1]2→0,1]是一个严格三角模,I:0,1]2→0,1]是一个模糊蕴涵算子和N:0,1]→0,1]是一个强否定.在I除了在点(0,0),(1,1)不连续的假设下,获得了满足这个函数方程组解的完全刻画.
|
| 关 键 词： | 模糊蕴涵 严格三角模 换质位对称 强否定 |
Distributive Equations Based on Fuzzy Implications |
| |
| YANG Li,QIN Feng.Distributive Equations Based on Fuzzy Implications[J].Fuzzy Systems and Mathematics,2010,24(3). |
| |
| Authors: | YANG Li QIN Feng |
| |
| Institution: | YANG Li,QIN Feng (College of Mathematics and Information Science,Jiangxi Normal University,Nanchang 330022,China) |
| |
| Abstract: | In this paper,we explore the solution of functional equations I(x,T(y,z))=T(I(x,y),I(x,z)) and I(x,y)=I(N(y),N(x)),where T is a strict t-norm,I a fuzzy implication and N a strong negation. Under the assumptions that I is continuous except the points (0,0) and (1,1),we get the full characterizations of the solutions for both functional equations. |
| |
| Keywords: | Fuzzy Implications Strict t-norms Contrapositive Symmetry Strong Negations |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
