| 注册
首页|期刊导航|吉林大学学报(理学版)|QBL-代数及其与BL-代数的等价性

QBL-代数及其与BL-代数的等价性

高李红 吴洪博

吉林大学学报(理学版)2011,Vol.49Issue(1):41-46,6.
吉林大学学报(理学版)2011,Vol.49Issue(1):41-46,6.

QBL-代数及其与BL-代数的等价性

Quasi-BL-Algebras and Their Equivalence with BL-Algebras

高李红 1吴洪博1

作者信息

  • 1. 陕西师范大学,数学与信息科学学院,西安,710062
  • 折叠

摘要

Abstract

By means of the characters that the basic logic algebra BL is matched with the fuzzy propositional logic system BL, the new logic algebraic structure called QBL-algebra has been established from the algebraizing of the axioms of fuzzy propositional logic system BL.The equivalence between the QBL-algebras and the BL-logic algebras have been proved.Consequentely, the presentative theorem of the BL-logic algebras has been given with two kinds of binary operations (×),→ on a general set.

关键词

模糊逻辑/BL-代数/BL-系统/QBL-代数/剩余格

Key words

fuzzy logic/ BL-algebra/ BL-system/ QBL-algebra/ residuated lattice

分类

数理科学

引用本文复制引用

高李红,吴洪博..QBL-代数及其与BL-代数的等价性[J].吉林大学学报(理学版),2011,49(1):41-46,6.

基金项目

国家自然科学基金(批准号:10871121). (批准号:10871121)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

访问量0
|
下载量0
段落导航相关论文