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Residuated lattice

  • 剩余格(剩余格是既为格又为幺半群的代数结构,幺半群乘法的每个自变量都是关于这个格次序的伽罗瓦连接的一极。它的一般概念是Ward和Dilworth在1939年介入的,包括布尔代数、Heyting代数、剩余布尔代数、关系代数和MV-代数)

网络释义专业释义英英释义

  剩余半格

residuated lattice 剩余半格; 剩余格..

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短语

complete residuated lattice 完备剩余格

co-residuated lattice 余剩余格

normal residuated lattice 基于正规剩余格的逻辑系统

regular residuated lattice 正则剩余格

extended residuated lattice 扩展剩余格

Prelinearity residuated-lattice 预线性剩余格

Strong regular residuated lattice 强正则剩余格

residuated lattice implication algebra 剩余格蕴涵代数

topological extended residuated lattice 拓扑扩展剩余格

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  • 剩余格 - 引用次数:50

    For example MV- algebra is a special kind of residuated lattice with abundant structures.

    例如MV-代数就是结构丰富的一种特殊剩余格(1,7)。

    参考来源 - 余剩余格及其应用
    乘余格 - 引用次数:1

    参考来源 - 多值逻辑代数中若干问题的研究
  • 剩余格 - 引用次数:2

    T-norm and residuated lattice are important tools for researching fuzzy logic system.

    三角模、剩余格理论是研究模糊逻辑系统的重要工具。

    参考来源 - 基于SS

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Residuated lattice

  • abstract: In abstract algebra, a residuated lattice is an algebraic structure that is simultaneously a lattice x ≤ y and a monoid x•y which admits operations x\z and z/y loosely analogous to division or implication when x•y is viewed as multiplication or conjunction respectively. Called respectively right and left residuals, these operations coincide when the monoid is commutative.

以上来源于: WordNet

双语例句

  • T-norm and residuated lattice are important tools for researching fuzzy logic system.

    三角模剩余格理论研究模糊逻辑系统重要工具

    youdao

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