| 加权熵公理构成证明的新方法 |
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| 引用本文： | 姜丹. 加权熵公理构成证明的新方法[J]. 中国科学技术大学学报, 1993, 23(2): 159-168 |
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| 作者姓名： | 姜丹 |
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| 作者单位： | 中国科学技术大学管理学院 |
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| 摘 要： | 对S.Guiasu在《Weighted Entropy)(加权熵)一文中提出的加权熵公理构成理论,进行了简化公理条件的严密的数学证明,并给出关于加权熵函数唯一确定性的一种新的证明方法。不仅简化了加权熵的公理条件和加权熵函数唯一确定性的证明过程,而且使加权熵的公理构成具有合理的物理含意,对改善加权熵公理构成理论具有一定的价值。
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| 关 键 词： | 信息论 加权熵 公理构成 |
A New Method to Prove Axiom Structure of Wighted Entropy |
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| Jing Dan. A New Method to Prove Axiom Structure of Wighted Entropy[J]. Journal of University of Science and Technology of China, 1993, 23(2): 159-168 |
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| Authors: | Jing Dan |
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| Affiliation: | Management Institute of USTC |
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| Abstract: | A strict mathematical proof for simplifying the axiom condition of weighted entropy is presented, and a new method for justifying the only determinism of weighted entropy function is also proposed. The new method and the proving approach not only simplify the axiom condition of weighted entropy and the proving process of the only determinism of weighted entropy function, but also give a rational physical meaning to the axiom structure of weighted entropy. |
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| Keywords: | information theory weighted entropy axiom structure |
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