NBR0代数上的+运算和性质

Journal of Jilin University Science Edition

Operator + of NBR₀Algebras and Its Properties

GONG Jia’an, WU Hongbo

College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China

Received:2015-04-20 Online:2016-01-26 Published:2016-01-19
Contact: wuhb@snnu.edu.cn E-mail:wuhb@snnu.edu.cn

Abstract

Abstract:

Fuzzy logic algebra NBR₀ was proposed, and its interior structure was studied. A new operator on NBR₀algebra is defined and its properties are studied. The relations between the ,→₁,→₂ operator and old operator were discussed, based on which a suffcient and necessary condition for NBR₀algebra was obtained.

Key words: fuzzy logic, BR₀algebra, NBR₀algebra, residuated lattice, left (right) adjoint

CLC Number:

O141.1

GONG Jia’an, WU Hongbo. Operator + of NBR₀Algebras and Its Properties[J].Journal of Jilin University Science Edition, 2016, 54(01): 1-7.

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Operator + of NBR₀Algebras and Its Properties

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Operator + of NBR0Algebras and Its Properties

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Operator + of NBR₀Algebras and Its Properties