模糊随机信源与双重信息熵

模糊随机信源与双重信息熵 FuzzY RANDOM SOURCE AND ITS DUAL INFORMATION ENTROPY 朱福元 Zhu Fuyuan first-author 本文描述了兼有随机性与模糊性的模糊随机信源的数学模型;利用模糊慨率测试引入了一个泛函,即模糊随机信息熵;对熵函数的若干重要性质,诸如双重性、极值性和凸性等作了讨论。文中根据双重信息熵导出了互信息的表达式,结果表明;由上述模型描述的几个模糊随机信源间的互信息也具有双重性。 This paper describes the mathematical model of a fuzzy source, which possesses both randomness awl fuzziness, Using fuzzy probability measure, a functional named fuzzy random information entropy is introduced, Some impor-tant properties of the entropy, such as dual nature, extremum property and convexity are discussed, In this paper the expression of mutual information is deduced by means of the dual information entropy, It shows that the mutual information between several fuzzy random sources described by preceding mathematical model also prossesses the dual nature. 1984-04-01 2021-04-01 4