| 强伪Ockham代数与剩余格 |
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| 引用本文： | 张隆传,张小红. 强伪Ockham代数与剩余格[J]. 宁波大学学报(理工版), 2010, 23(3): 74-78 |
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| 作者姓名： | 张隆传 张小红 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
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| 基金项目： | 国家自然科学基金，宁波市自然科学基金，宁波大学王宽诚幸福基金 |
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| 摘 要： | 引入了伪Ockham代数的概念,讨论了伪Ockham代数与剩余格的关系.进一步引入强伪Ockham代数概念,并给出了它的基本性质.然后,将著名的R0蕴涵和R0算子推广到伪Ockham代数上,证明了添加广义R0蕴涵和广义R0算子后的伪Ockham代数L成为剩余格的充要条件是L为强伪Ockham代数.最后给出注记,以此说明强伪Ockham代数的条件是独立的.
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| 关 键 词： | 非可换模糊逻辑 伪Ockham代数 剩余格 强伪Ockham代数 |
Strong Pseudo-Ockham Algebra and Residual Lattice |
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| ZHANG Long-chuan,ZHANG Xiao-hong. Strong Pseudo-Ockham Algebra and Residual Lattice[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2010, 23(3): 74-78 |
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| Authors: | ZHANG Long-chuan ZHANG Xiao-hong |
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| Affiliation: | (Faculty of Science,Ningbo University,Ningbo 315211,China) |
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| Abstract: | In this paper,the notion of pseudo-Ockham algebras is introduced,and the relation between pseudo-Ockham algebras and residual lattices are investigated.Further,the notion of strong pseudo-Ockham algebras is presented,and its elementary properties are given.The famous R0 implication and R0 operator are developed into pseudo-Ockham algebras,which are called general R0 implication and general R0 operator.The necessary and sufficient condition are proved as follows：a pseudo-Ockham algebras L with general R0 implication and general R0 operator become a residual lattice if and only if L is a strong pseudo-Ockham algebra. Finally,a note is given to show that three conditions of strong pseudo-Ockham algebras are independent. |
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| Keywords: | non-commutative fuzzy logic pseudo-Ockham algebras residual lattice strong pseudo-Ockham algebras |
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