数学
联合熵
最大熵概率分布
雷诺熵
最小熵
熵(时间箭头)
联合量子熵
广义相对熵
熵权不等式
微分熵
次加性
量子相对熵
最大熵热力学
离散数学
统计物理学
最大熵原理
统计
量子不和谐
物理
热力学
量子力学
量子
量子纠缠
标识
DOI:10.1080/03610926.2023.2173975
摘要
Recently, a new kind of set, named Random Permutation Set (RPS), has been presented. RPS takes the permutation of a certain set into consideration, which can be regarded as an ordered extension of evidence theory. Uncertainty is an important feature of RPS. A straightforward question is how to measure the uncertainty of RPS. To address this issue, the entropy of RPS (RPS entropy) is presented in this article. The proposed RPS entropy is compatible with Deng entropy and Shannon entropy. In addition, RPS entropy meets probability consistency, additivity, and subadditivity. Numerical examples are designed to illustrate the efficiency of the proposed RPS entropy. Besides, a comparative analysis of the choice of applying RPS entropy, Deng entropy, and Shannon entropy is also carried out.
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