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基于极大模糊熵原理的模糊推理反向三I算法
引用本文:侯健,彭家寅,张宇卓,张诚一.基于极大模糊熵原理的模糊推理反向三I算法[J].计算机研究与发展,2006,43(7):1180-1185.
作者姓名:侯健  彭家寅  张宇卓  张诚一
作者单位:[1]北京师范大学数学科学学院,北京100875 [2]内江师范学院数学系,四川内江641112 [3]海南师范大学计算机科学与教育技术系,海口571158
基金项目:国家自然科学基金项目(60474023);教育部科学技术重点基金项目(03184);国家“九七三”重点基础研究发展规划基金项目(2002CB312200)
摘    要:提出了用模糊熵来度量反向三I模糊推理结果的模糊程度,给出了模糊熵反向三I原则,讨论了FMP和FMT问题的模糊熵反向三I支持算法解存在的条件,分别给出了几个常见蕴涵算子的FMP问题与FMT问题的模糊熵反向三I解的计算公式.

关 键 词:模糊推理  模糊熵  极大模糊熵原理  模糊熵反向三I算法  模糊蕴涵算子
收稿时间:06 22 2004 12:00AM
修稿时间:2004-06-222006-02-22

A Reverse Triple I Algorithm for Fuzzy Reasoning Based on Maximum Fuzzy Entropy Principle
Hou Jian, Peng Jiayin Zhang Yuzhuo, Zhang Chengyi.A Reverse Triple I Algorithm for Fuzzy Reasoning Based on Maximum Fuzzy Entropy Principle[J].Journal of Computer Research and Development,2006,43(7):1180-1185.
Authors:Hou Jian  Peng Jiayin Zhang Yuzhuo  Zhang Chengyi
Affiliation:1 School of Mathematical Sciences, Beijing Normal University, Beijing 100875 ; 2 Department of Mathematics, Neijiang Teachers College, Sichuan Neijiang 641112 ; 3 Department of Computer Science and Education Technology, Hainan Normal University, Haikou 571158
Abstract:The fuzzy degree of a fuzzy reverse triple I inference conclusion is measured by fuzzy entropy, and a fuzzy entropy reverse triple I principle is introduced. Existence conditions of solutions are discussed for the fuzzy entropy reverse triple I algorithms for FMP and FMT problems, and the computing formulas of the algorithm based on some common implication operators are provided.
Keywords:fuzzy reasoning  fuzzy entropy  maximum fuzzy entropy principle  fuzzy entropy reverse triple I algorithm  fuzzy implication operator
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