Soft LI-ideals of lattice implication algebra

Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (8): 42-46.

Previous Articles Next Articles

Soft LI-ideals of lattice implication algebra

ZHENG Gaoping1，3，4, LIAO Zuhua1，3，4, WANG Nini2，3，4, ZHANG Licheng1，4

1.School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China
2.School of Internet of Things Engineering, Jiangnan University, Wuxi, Jiangsu 214122, China
3.School of Honors, Jiangnan University, Wuxi, Jiangsu 214122, China
4.Engineering Research Center of Internet of Things Technology Application Ministry of Education, Jiangnan University, Wuxi, Jiangsu 214122, China

Online:2015-04-15 Published:2015-04-29

格蕴涵代数的软LI-理想

郑高平1，3，4，廖祖华1，3，4，王妮妮2，3，4，章里程1，4

1.江南大学理学院，江苏无锡 214122
2.江南大学物联网学院，江苏无锡 214122
3.江南大学至善学院，江苏无锡 214122
4.江南大学教育部物联网技术应用工程研究中心，江苏无锡 214122

Abstract

Abstract: By means of soft set, the concepts of soft LI-ideals of lattice implication algebra are introduced, some of their properties such as intersection and AND are studied. Then its equivalent characterization is discussed. In addition, the relationship between a soft LI-ideal of lattice implication algebra and a soft lattice ideal of lattice implication algebra is investigated. The properties about image and preimage of a soft LI-ideal of lattice implication algebra are obtained.

Key words: soft set, lattice implication algebra, LI-ideal, lattice ideal, operation, soft image

摘要： 借助软集合，提出了格蕴涵代数的软LI-理想的概念，研究了软集运算下的一些诸如交、且等基本性质，并给出了格蕴涵代数的软LI-理想的一些等价刻画。此外，研究了格蕴涵代数的软LI-理想与格蕴涵代数的软格理想之间的关系。得到了格蕴涵代数的软LI-理想像与原像的性质。

关键词: 软集, 格蕴涵代数, LI-理想, 格理想, 运算, 软集的像

ZHENG Gaoping1，3，4, LIAO Zuhua1，3，4, WANG Nini2，3，4, ZHANG Licheng1，4. Soft LI-ideals of lattice implication algebra[J]. Computer Engineering and Applications, 2015, 51(8): 42-46.

郑高平1，3，4，廖祖华1，3，4，王妮妮2，3，4，章里程1，4. 格蕴涵代数的软LI-理想[J]. 计算机工程与应用, 2015, 51(8): 42-46.

[1]	TANG Rui, JIAO Jiye, XU Huahao. Design of Hardware Accelerator for Embedded Convolutional Neural Network [J]. Computer Engineering and Applications, 2021, 57(4): 252-257.
[2]	HU Yaping, KONG Weiwei, LI Meng, HUANG Cuiling. Improved Panoramic Image Mosaic Algorithm for TV Image Denoising Model [J]. Computer Engineering and Applications, 2021, 57(17): 203-209.
[3]	LIU Yufeng, SUN Wenxin. Generalized Multi-granulation Quantization Soft Rough Set Model [J]. Computer Engineering and Applications, 2021, 57(12): 137-143.
[4]	YU Lingfei, GONG Haigang. Cooperation and Contribution Based Selfish Routing Protocol for Mobile Social Networks [J]. Computer Engineering and Applications, 2021, 57(1): 134-140.
[5]	FAN Jianping, CHENG Rui, WU Meiqin. Distance Measure of Interval-Valued Complex Fuzzy Soft Sets and Its Application [J]. Computer Engineering and Applications, 2020, 56(9): 248-259.
[6]	PENG Jiayin. Controlled Bidirectional Remote Quantum Control [J]. Computer Engineering and Applications, 2020, 56(9): 117-124.
[7]	CAO Jie, ZHANG Lijun, HOU Liang, CHEN Zuohan, ZHANG Hong. Signal Optimization Control Method for Associated Intersection Sub-Area [J]. Computer Engineering and Applications, 2020, 56(7): 273-278.
[8]	CAI Mengchen, WANG Ping, FANG Yuan, JIANG Ming, ZHANG Liang. Low-Cost Tag Ownership Transfer Protocol [J]. Computer Engineering and Applications, 2020, 56(6): 105-110.
[9]	CHAI Lei, WANG Zhixue, HE Ming. Formal Framework of Command Control Cooperative Capability Requirements System-of-Systems [J]. Computer Engineering and Applications, 2020, 56(5): 49-56.
[10]	MEI Songqing, DENG Xiaoru. Ultra-Lightweight Mobile RFID Authentication Protocol for Bit Replacement Operations [J]. Computer Engineering and Applications, 2020, 56(3): 100-105.
[11]	MENG Xin, YANG Qin, HAO Tingting, ZHANG Jie, CAO Cejun. Optimized Combination of Picking Path in Different Distributions and Algorithms [J]. Computer Engineering and Applications, 2020, 56(23): 229-236.
[12]	CHU Pengzi, YU Yi, LIN Hui, YUAN Jianjun, JIANG Xi. BP-FIPID Algorithm for Speed Control of ATO System [J]. Computer Engineering and Applications, 2020, 56(22): 224-229.
[13]	DING Yi, TIAN Liang, GONG Jie. Robust Optimization of Ship Stowage Planning Problem in ACT Considering Balance of Block Operation [J]. Computer Engineering and Applications, 2020, 56(13): 262-272.
[14]	XIAO Shuai, WANG Xu’an, PAN Feng. Elliptic Curve Digital Signature Algorithm Without Modular Inverse Operation [J]. Computer Engineering and Applications, 2020, 56(11): 118-123.
[15]	NIU Jincai, LI Maoqing, ZHANG Yanpeng. Train Operation Adjustment Based on Artificial Fish Swarm Algorithm [J]. Computer Engineering and Applications, 2019, 55(7): 259-264.

Soft LI-ideals of lattice implication algebra

格蕴涵代数的软LI-理想

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics