| 基于正规剩余格的一个逻辑系统及其完备性 |
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| 引用本文： | 裴道武.基于正规剩余格的一个逻辑系统及其完备性[J].淮阴师范学院学报(自然科学版),2002,1(1):6-12. |
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| 作者姓名： | 裴道武 |
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| 作者单位： | 盐城师范学院,数学系,江苏,盐城,224002 |
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| 基金项目： | 江苏省教育厅自然科学基金资助项目(0 1KJD110 0 0 7) |
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| 摘 要： | 在模糊逻辑中,基于剩余格的逻辑系统起着非常重要的作用.本文提出一种新的代数结构,叫做正规剩余格,研究这种剩余格的性质和结构,建立基于正规剩余格的统一的逻辑系统,许多重要的逻辑系统是这个系统的扩张.进一步,本文还讨论了这个系统关于建立在正规剩余格上语义的完备性.
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| 关 键 词： | 模糊逻辑 正规剩余格 基于正规剩余格的逻辑系统 完备性 |
| 文章编号： | 1671-6876(2002)01-0006-07 |
| 修稿时间： | 2001年12月3日 |
A Unified Normal Residuated Based Logic System and Its Completeness |
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| A Unified Normal Residuated Based Logic System and Its Completeness.A Unified Normal Residuated Based Logic System and Its Completeness[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2002,1(1):6-12. |
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| Authors: | A Unified Normal Residuated Based Logic System and Its Completeness |
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| Abstract: | In fuzzy logic,normal residuated based logic systems play avery important role.In this paper,we propose a kind of new algebraic a kind of new algebraic structure,called normal residuated lattices,study their properties and structure,and construct a unified normal residuated based logic system,which contains many important logic systems as its extensions.Moreover,we discuss the completeness of this unified logic system with respect to the semantics based on normal residuated lattices. |
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| Keywords: | Fuzzy logic normal residuated based logic normal residuated lattice completeness |
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