模糊规则间交互作用因子的表示

The Representation of Interaction Index among Fuzzy Rules

当模糊产生式规则应用在近似推理过程中时,前件相同而后件不同的模糊规则之间往往存在交互影响.为提高推理精度,适当考虑模糊规则间的交互影响,笔者借鉴了在合作游戏理论中描述交互影响的一种指标,即交互指标,并且通过定义在模糊规则上的模糊测度,给出一种计算模糊规则之间交互影响指标的方法.

When fuzzy production rules are used in approximate reasoning, there are interaction influences on rules that have the same consequent but different antecedent. In order to improve the reasoning precision and to consider interaction influences on rules properly, we employ a kind of representation coming from cooperative game theory, named interaction index, and discuss how to determine the interaction index among fuzzy rules via the fuzzy measure which is defined on the set of fuzzy rules.