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| 伪统一模与剩余格之间的关系 | |
| 引用本文： | 苏勇,王住登. 伪统一模与剩余格之间的关系[J]. 数学的实践与认识, 2012, 42(19) |
| 作者姓名： | 苏勇 王住登 |
| 作者单位： | 1. 盐城师范学院数学科学学院,江苏盐城224002;江苏师范大学数学科学学院,江苏徐州221116 2. 盐城师范学院数学科学学院,江苏盐城,224002 |
| 基金项目： | 盐城师范学院科研基金项目 |
| 摘 要： | 讨论伪统一模与剩余格之间的关系,证明完备格上无穷∨-分配伪统一模和它的剩余蕴涵算子构成一个完备剩余格,并说明任给一个完备剩余格L=(L,∧,∨,*,e→,,*是无穷∨-分配的伪统一模,→和(?)是*的剩余蕴涵算子. |
| 关 键 词： | 剩余格 伪统一模 剩余蕴涵算子 |
The Relations Between Pseudo-Uninorms and Residuated Lattices |
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| SU Yong , WANG Zhu-deng. The Relations Between Pseudo-Uninorms and Residuated Lattices[J]. Mathematics in Practice and Theory, 2012, 42(19) | |
| Authors: | SU Yong WANG Zhu-deng |
| Abstract: | In this paper,we discuss the relations between pseudo-uninorms and residuated lattices.We will show that an infinitely V-distributive pseudo-uninorm and its residual implicators form a complete residuated lattice and illustrate that * is an infinitely V-distributive pseudo-uninorm,→and(?) are two residual implicators of * for any complete residuated lattice L =(L,∧,∨,*,e,→. |
| Keywords: | Residuated lattice Pseudo-uninorm residual implicator |
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