正则剩余格的 fuzzy ⊙-理想格

J4 ›› 2011, Vol. 46 ›› Issue (8): 73-76.

正则剩余格的 fuzzy ⊙-理想格

秦学成,刘春辉*

赤峰学院初等教育学院, 内蒙古赤峰 024001

收稿日期:2010-08-02 出版日期:2011-08-20 发布日期:2011-09-08
通讯作者: 刘春辉(1982- ),男,硕士,讲师,研究方向为非经典数理逻辑. Email: chunhuiliu1982@163.com
作者简介:秦学成(1963- ),男,副教授,研究方向为计算机代数. Email: cfxyqinxuecheng@yahoo.com.cn

The lattice of fuzzy ⊙-ideals in regular residuated lattices

QIN Xue-cheng, LIU Chun-hui*

Department of Elementary Education, Chifeng University, Chifeng 024001, Inner Mongolia, China

Received:2010-08-02 Online:2011-08-20 Published:2011-09-08

摘要/Abstract

摘要：

在正则剩余格的全体fuzzy⊙理想之集上定义了格运算和伴随对, 证明了按此方式定义格运算和伴随对后, 全体fuzzy⊙-理想之集构成一个分配的剩余格。

关键词: 模糊逻辑; (正则)剩余格; fuzzy ⊙-理想; fuzzy ⊙-理想格

Abstract:

The lattice operations and the adjoint pair on the set of all fuzzy ⊙-ideals in regular residuated lattices are defined. It is obtained that the fuzzy ⊙-ideals lattice defined in our sense is a distributive residuated lattice.

Key words: fuzzy logic; (regular)residuated lattice; fuzzy ⊙-ideal; fuzzy ⊙-ideal lattice

秦学成,刘春辉*. 正则剩余格的 fuzzy ⊙-理想格[J]. J4, 2011, 46(8): 73-76.

QIN Xue-cheng, LIU Chun-hui*. The lattice of fuzzy ⊙-ideals in regular residuated lattices[J]. J4, 2011, 46(8): 73-76.

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