基于直觉模糊信息公理的产品服务方案选优

Product service system optimal selection based on intuitionistic fuzzy information axiom

为有效处理具有模糊性的服务性指标,提出一种将信息公理和直觉模糊集相结合的产品服务系统评价方法。该方法根据决策专家评价值及其犹豫度,同时考虑隶属度和非隶属度,得到直觉模糊数。集成专家评价值后,再根据直觉模糊交叉熵计算信息公理中评价指标设计范围和系统范围之间的信息差异,得到方案信息量,即可比较方案信息量的大小,确定最优方案。以电梯产品服务系统方案评价为例,通过与模糊信息公理评价方法的比较,证明了所提方法更具有效性和准确性。

To deal with the fuzzy service indicators efficiently, an evaluation method was proposed which combined the intuitionistic fuzzy set and information axiom. The membership and non-membership of the evaluation needed to be considered synthetically which was transformed from the evaluation value and the hesitation degree given by the decision makers. Integrating the evaluation value of all the decision makers was a necessary step before calculating the information divergence between the system range and design range by intuitionistic fuzzy cross entropy. The rank of the all alternatives was obtained according to the information contents of alternatives calculated by the pro- posed method. An example of elevator product service conceptual evaluation was illustrated. By comparing with the fuzzy information axiom, the proposed approach which considered the hesitation degree of decision makers was more efficient and accurate.