L-Fuzzy闭包算子的扩张原理  

An Extension Principle for L Fuzzy Closure Operators

作　　者：马学文[1] 戴耀东[1] 罗从文[2] 

机构地区：[1]信阳师范学院计算中心 [2]武汉大学数学系

出　　处：《模糊系统与数学》1999年第2期12-17,共6页Fuzzy Systems and Mathematics

基　　金：河南省自然科学基金

摘　　要：Ｆｕｚｚｙ闭包算子的扩张原理揭示了Ｆｕｚｚｙ闭包算子与经典闭包算子之间的密切关系，是利用传统学科已有结论研究Ｆｕｚｚｙ数学相关理论的有效工具。本文讨论了当Ｌ为有限分配格时，Ｌ－Ｆｕｚｚｙ闭包算子与闭包系统的扩张问题，并给出一种具体的由经典闭包算子生成Ｌ－Ｆｕｚｚｙ闭包算子的方法及其部分性质。The extension principles for fuzzy closure operators illustrate the tight relationship between fuzzy closure operators and classical ones. They are effective tools for studying the correspondent theories of fuzzy sets with the knowledge of classical subjects. This paper mainly discussed the extension principle of L fuzzy closure operators in the condition of that L is a finite distributive lattice,and gave a method to generate L fuzzy closure operators from classical ones.

关 键 词：闭包算子 闭包关系 扩张原理 LF闭包算子 LF集 

分 类 号：O159[理学—数学]