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The structure of pan-operator with idempotent pan-addition

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成果类型:
期刊论文、会议论文
作者:
Tong, Xiao-Jun*;Zeng, Shan;Zhou, Kang;Huang, Qiu-Ming;Wang, Wen-Ke
通讯作者:
Tong, Xiao-Jun
作者机构:
[Zhou, Kang; Tong, Xiao-Jun; Huang, Qiu-Ming; Zeng, Shan] Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430074, Peoples R China.
[Tong, Xiao-Jun] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China.
[Wang, Wen-Ke] Command & Commun Acad PLA, Dept Basic Courses, Wuhan 430010, Peoples R China.
通讯机构:
[Tong, Xiao-Jun] W
[Tong, Xiao-Jun] H
Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430074, Peoples R China.
Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China.
语种:
英文
关键词:
the structure of pan-operation;semi-group;commutative isotonic semi-ring
期刊:
Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, ICMLC 2007
年:
2007
卷:
5
页码:
2562-2565
会议名称:
2007 International Conference on Machine Learning and Cybernetics(IEEE第六届机器学习与控制论国际会议)
会议论文集名称:
第六届机器学习与控制论国际会议
会议时间:
2007-08-19
会议地点:
香港
会议赞助商:
河北大学
基金类别:
National Natural Science Foundation [79970025, 60403002, 30370356]; Hubei provincial Natiual science Foundation [2004ABA031, 2005ABA233]; National Postdoctoral Science Foundation of china [20040036016]; Founation of Hubei Provincial Department of Education [2003X130]; Scientific Research Team of Wuhan Polytechnic University [03-T-06]
机构署名:
本校为第一且通讯机构
院系归属:
数学与计算机学院
摘要:
Based on semi-group theory, special properties of identity element and the idempotent of pan-multiplication, the case of idempotent pan-additions are studied. Our results show the "open problem" posted by Mesiar and Ryb...

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