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      • Analysis of Environmental Pollution Control Model based on Fuzzy Decision Making

        Qinghe Chen,Xin Xia,Zhipeng Wang 보안공학연구지원센터 2016 International Journal of Grid and Distributed Comp Vol.9 No.12

        Practice and theory researchers have an in-depth discussion about the governance model in the face of the increasingly severe environmental pollution problems. This paper established mathematical medel by the fuzzy mathematics theory,proposed that the multiple work mode is needed to realized in environmental pollution control,and forming a polycentric governance network of the government-led,enterprises,social organizations and individual public paiticipation.It proposes that the multiple work model makes a breakthrough to the single subject management model and puts forward to promote multiple work model in real time to control environmental pollution problems effectively from the perspective of fuzzy decision.The paper provides new theoretical basis and reference for the research of environmental governance mode.

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        π-Morphic Rings

        Huang, Qinghe,Chen, Jianlong Department of Mathematics 2007 Kyungpook mathematical journal Vol.47 No.3

        An element $a$ in a ring R is called left morphic if $$R/Ra{\simeq_-}1(a)$$. A ring is called left morphic if every element is left morphic. In this paper, an element $a$ in a ring R is called left ${\pi}$-morphic (resp. left G-morphic) if there exists a positive number $n$ such that $a^n$ (resp. $a^n{\neq}0$) is left morphic. A ring R is called left ${\pi}$-morphic (resp. left G-morphic) if every element is left ${\pi}$-morphic (resp. left G-morphic). The Morita invariance of left ${\pi}$-morphic (resp. left G-morphic) rings is discussed. Several relevant properties are proved. In particular, it is shown that a left Noetherian ring R with $M_4(R)$ left G-morphic or $M_2(R)$ left morphic is QF. Some known results of left morphic rings are extended to left G-morphic rings and left ${\pi}$-morphic rings.

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