关键词: 产品服务系统, 方案评价, 粗糙数, 可达矩阵, Choquet积分, 广义证据推理

Abstract: Aiming at the optimal selection problems of product service system design scheme,a novel integrated evaluation method under uncertain circumstances which consisted of multi-attribute variable granule weight and group decision-making decision was proposed.To describe the fuzzy and uncertain knowledge effectively,the rough number in form of interval was adopted to model and evaluate attributes and their absolute importance weights.Coupling relation rough number reachable matrix between attributes was constructed to solve the relative weight.Absolute importance weights and relative importance weights of attributes were combined to acquire comprehensive single granule attribute weight.On this basis,with considerations of interaction among attributes,the evaluation model for product service system design scheme was built by n-additive Choquet integral.From the perspective of practical situation,the generalized evidential reasoning theory which was able to simulate negotiation and coordination was introduced to fuse different experts'opinion,so that harmonious evaluation result for optimal product scheme was acquired.A case study of product service system of large scale injection molding machine was offered to illustrate the practicability and validation of the proposed method.

Key words: product service system, scheme evaluation, rough number, reachable matrix, Choquet integral, generalized evidential reasoning