R-广义模糊子格

J4 ›› 2012, Vol. 47 ›› Issue (1): 93-97.

R-广义模糊子格

王德江,廖祖华*,曹姝,宋璐瑶,刘春芝

江南大学物联网工程学院, 江苏无锡 214122

收稿日期:2011-06-17 出版日期:2012-01-20 发布日期:2012-06-29
通讯作者: 廖祖华(1957- ),男,教授,研究方向为模糊代数、粗糙集及其应用. Email: liaozuhua57@yahoo.cn
作者简介:王德江(1989- ),男,硕士研究生,研究方向为粗糙集. Email: wdjwuxi@163.com
基金资助:
江苏省教育科学“十一五”规划基金资助项目(D／2006／01／171);江苏省高等学校大学生实践创新训练计划(2009598); 江南大学创新团队发展计划资助项目(200902)

R-generalized fuzzy sub-lattices

WANG De-jiang, LIAO Zu-hua*, CAO Shu, SONG Lu-yao, LIU Chun-zhi

School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, Jiangsu, China

Received:2011-06-17 Online:2012-01-20 Published:2012-06-29

摘要/Abstract

摘要：

给出了R-广义模糊子格的定义,证明了在一定条件下有限个R-广义模糊子格的交(并)还是R-广义模糊子格,R-广义模糊子格的同态像(原像)仍是R-广义模糊子格。

关键词: 子格;广义模糊子格;R-广义模糊子格;蕴涵算子

Abstract:

The definition of R-generalized fuzzy sub-lattices is introduced. It proved that the finite intersection (union) of a R-generalized fuzzy sub-lattice is still a R-generalized fuzzy sublattice, and the homomorphic image (preimage) of a R-generalized fuzzy sub-lattice is still a R-fuzzy sub-lattice.

Key words: sub-lattice; generalized fuzzy sub-lattice; R-generalized fuzzy sub-lattice; implication operator

王德江,廖祖华*,曹姝,宋璐瑶,刘春芝. R-广义模糊子格[J]. J4, 2012, 47(1): 93-97.

WANG De-jiang, LIAO Zu-hua*, CAO Shu, SONG Lu-yao, LIU Chun-zhi. R-generalized fuzzy sub-lattices[J]. J4, 2012, 47(1): 93-97.

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