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.
出处
《模糊系统与数学》
CSCD
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
