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《Journal of Beijing Normal University(Natural Science)》 2005-04
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SOME PROPERTIES AND SOME CONSTRUCTION PROBLEMS OF STATE VARIABLE WEIGHT VECTORS

Hou Haijun~(1,2) Gu Yundong~3 Wang Jiayin~1( 1)College of Mathematical Sciences, Beijing Normal University,100875,Beijing,China; 2) Department of Mathematics,Shangqiu Normal College,476000,Shangqiu,Henan,China;3)School of Management, Beijing Normal University,100875,Beijing,China)  
Some conditions and some properties of state variable weights are discussed. It is proved that the set of state variable weight is semi-group on addition, maximum, minimum and the Hadarmard product respectively. Some methods of constructing new state variable weights are given based on the results. The equivalence of constructed state variable weights and the original state variable weights are studied.
【Fund】: 国家自然科学基金资助项目(60474023);; 教育部博士点基金资助项目(20020027013);; 教育部科学技术重点资助项目(03184);; 数学天元基金资助项目(A0324639);; “九七三”国家重大基础研究规划资助项目(2002CB312200)
【CateGory Index】: O174
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