BL代数的一种弱化形式

Journal of Jilin University Science Edition

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A Weakened Form of BLAlgebra

ZHOU Jianren¹, WU Hongbo²

1. College of Mathematics and Statistics, Hexi University, Zhangye 734000, Gansu Province, China;2. College of Mathematics and Information Sciences, Shaanxi Normal University, Xi’an 710062, China

Received:2013-05-06 Online:2014-03-26 Published:2014-03-20
Contact: WU Hongbo E-mail:wuhb@snnu.edu.cn

Abstract

Abstract:

On the basic of BLalgebra and other related logic algebras, a weaker logic algebric system than BLalgebra——WBLalgebra was established by strengthening the conditions of MTL-algebra and examples of WBLalgebra were given. It has been proved that BL-algebra is WBL-algebra and WBL-
algebra is the truth weakening form of BL-algebra and the truth strengthening form of MTL-algebra. Some characteristic theorems of WBL-algebra were given based on MTL-algebra.

Key words: fuzzy logic, logic algebra, BL-algebra, MTL-algebra; NM-algebra, WBL-algebra

CLC Number:

O141.1

ZHOU Jianren, WU Hongbo. A Weakened Form of BLAlgebra[J].Journal of Jilin University Science Edition, 2014, 52(02): 231-236.

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A Weakened Form of BLAlgebra

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