A grey possibility based hybrid decision method with novel measure functions of grey number

Abstract

The increasingly complex decision environments determine the classical grey number is insufficient to tackle the asymmetrical grey information distribution in multi-attribute group decision making, and there usually exits causal interdependency between attributes, motivated by this a grey possibility based hybrid decision method is proposed in this paper. First, the possibility function is used to characterize the asymmetrical value distribution information of grey number. The novel measure functions including the ranking method, grey orthocenter distance and similarity degree of grey number are constructed. On this basis, the optimization model for aggregating group grey information is designed based on the two goals which are the minimal distances and higher similarity between individual grey information. The grey possibility based hybrid decision method is established by integrating the decision making trial and evaluation laboratory and the interactive multi-attribute decision method (TODIM) with considering the bounded rationality behavior of decision maker under high-type grey decision environment, where the causal interdependencies between attributes are overcome. Finally, the proposed method is applied to a strategy selection problem of Chinese smart phone manufacturer, and the sensitivity and comparative analysis are carried out to verify its robustness and credibility.