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关于状态变权公理体系的注记
引用本文:崔红梅,谷云东,孙魁明,李洪兴. 关于状态变权公理体系的注记[J]. 北京师范大学学报(自然科学版), 2004, 40(1): 1-7
作者姓名:崔红梅  谷云东  孙魁明  李洪兴
作者单位:北京师范大学数学系,100875,北京
基金项目:国家自然科学基金,高等学校博士学科点专项科研项目,国家重点基础研究发展计划(973计划)
摘    要:研究了状态变权的公理化定义问题. 在对现有状态变权定义中的各公理化条件进行分析的基础上,给出一种新的状态变权公理体系,并研究了它的构造及其与原定义的关系.给出若干新的在数据处理等领域有重要应用的状态变权函数.

关 键 词:综合决策  变权  状态变权  数据处理
修稿时间:2003-03-19

SOME NOTES ON THE SYSTEM OF AXIOMS FOR STATE VARIABLE WEIGHTS AND VARIABLE WEIGHTS
Cui Hongmei Gu Yundong Sun Kuiming Li Hongxing. SOME NOTES ON THE SYSTEM OF AXIOMS FOR STATE VARIABLE WEIGHTS AND VARIABLE WEIGHTS[J]. Journal of Beijing Normal University(Natural Science), 2004, 40(1): 1-7
Authors:Cui Hongmei Gu Yundong Sun Kuiming Li Hongxing
Abstract:The system of axioms on state variable weights and variable weights is studied. First, the conditions on the system of axioms given in the literature is discussed in detail. Then a new system of axioms on state variable weights and variable weights are given based on the previous results. The relationship between the new system of axioms and the old one is researched in the following. At last, it is introduced that the new system of axioms can refer to an important kind of functions that is widely used in the data processing.
Keywords:multi-factor synthesis decision-making  variable weights  state variable weights  data processing
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