基于模糊粗糙集的知识系统证据推理<sup>*</sup>

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摘要针对Dubois模糊粗糙集、Radzikowska模糊粗糙集、双论域上的模糊粗糙集,分别定义各自对应的模糊信任(似然)函数,证明模糊信任(似然)函数等于其对应的模糊集的下(上)近似质量,据此建立模糊决策表的证据推理模型.实例表明, 该模型是行之有效的.

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	程昳
	苗夺谦
	冯琴荣

关键词 ：模糊粗糙集, 模糊信任函数, 模糊似然函数, 证据推理

Abstract：Fuzzy belief function and fuzzy plausible function are defined on Dubois fuzzy rough sets, Radzikowska fuzzy rough sets and fuzzy rough sets over two universes respectively. Then the equation relation between fuzzy belief function and lower approximation quality is proved. Thus, a model for evidential reasoning in fuzzy decision table is proposed. An example shows that the model is effective.

Key words： Fuzzy Rough Sets Fuzzy Belief Function Fuzzy Plausible Function Evidential Reasoning

收稿日期: 2007-03-12

ZTFLH:

TP181

基金资助:国家自然科学基金(No.60475019,60775036)、2006博士学科点专项科研基金(No.20060247039)资助项目

作者简介: 程昳,女,1977年生,博士研究生,主要研究方向为人工智能、粗糙集理论、模糊集理论,粒度计算.E-mail:chengyimail@sohu.com.苗夺谦,男,1964年生,教授,博士生导师,主要研究方向为人工智能、模式识别、数据挖掘、粗糙集理论、主曲线、粒度计算等.冯琴荣,女,1972年生,博士研究生,主要研究方向为粗糙集理论、粒度计算.

引用本文:

程昳，苗夺谦，冯琴荣. 基于模糊粗糙集的知识系统证据推理^*[J]. 模式识别与人工智能, 2008, 21(4): 552-558. CHENG Yi, MIAO Duo-Qian, FENG Qin-Rong. Evidential Reasoning of Knowledge System Based on Fuzzy Rough Sets. , 2008, 21(4): 552-558.

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http://manu46.magtech.com.cn/Jweb_prai/CN/ 或 http://manu46.magtech.com.cn/Jweb_prai/CN/Y2008/V21/I4/552

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