模糊广义决策信息系统的证据特征与信任约简

探究模糊广义决策信息系统的证据特征和信任约简.首先,给出模糊广义决策信息系统中的模糊上、下近似算子及其相关性质.然后,基于证据理论探讨模糊广义决策信息系统的数值特征,并在模糊广义决策信息系统中,利用证据理论中的模糊信任和模糊似然函数对模糊近似集进行刻画.最后,根据模糊信任函数定义的属性重要度,提出模糊广义决策信息系统信任约简的算法,并给出实例验证其有效性.

Evidence Characteristics and Belief Reduction of Fuzzy Generalized Decision Information System

This paper explores the evidence characteristics and belief reduction of fuzzy generalized decision information system. Firstly, the lower and upper approximations of fuzzy generalized decision information system and related properties are introduced. Secondly, the numerical characteristics of fuzzy generalized decision information system are studied based on evidence theory, and in the fuzzy generalized decision information system, the fuzzy approximation set are characterized by the fuzzy belief and fuzzy plausibility functions in the evidence theory. Finally, according to the attributes significance defined by the fuzzy belief function, the algorithm of belief reduction of fuzzy generalized decision information system is proposed and its validity is verified by practical example.