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基于 MV 代数语义的格值逻辑的程度化方法

左卫兵

电子学报Issue(10):2035-2040,6.
电子学报Issue(10):2035-2040,6.DOI:10.3969/j.issn.0372-2112.2013.10.026

基于 MV 代数语义的格值逻辑的程度化方法

Graded Method of Lattice-Valued Logic Based on MV-Algebra Semantics

左卫兵1

作者信息

  • 1. 华北水利水电大学数学与信息科学学院,河南郑州450043
  • 折叠

摘要

Abstract

Based on the notion of MV-algebra semantics ,probability measure is set up in MV-algebra evaluation lattice and set of all propositions ,and a probability truth degree of propositions in lattice-valued logic is proposed with integral .Thus pseudo-metric in set of all propositions is induced ,probability logic metric space is established in lattice-valued logic ,and graded reasoning is developed .In summary ,approximate reasoning method in quantitative logic is expanded to lattice-valued logic ,and it is feasible in graded in lattice-valued logic .

关键词

MV代数/格值逻辑/概率真度/概率逻辑度量空间/近似推理

Key words

MV-algebra/lattice-valued logic/probability truth degree/probability logic metric space/approximate reasoning

分类

数理科学

引用本文复制引用

左卫兵..基于 MV 代数语义的格值逻辑的程度化方法[J].电子学报,2013,(10):2035-2040,6.

基金项目

河南省自然科学基金(No .112300410040);河南省教育厅自然科学基金(No .2011A110012,No .13A110719);河南省高等学校青年骨干教师资助计划 ()

电子学报

OA北大核心CSCDCSTPCD

0372-2112

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