关键词: 灰色随机多准则, 决策, 梯形灰色随机数, 梯形连续区间, 有序加权平均算子, 基本单位区间, 单调函数

Abstract: To solve the Grey-Stochastic Multi-Criterion Decision-Making (GSMCDM) problems with the criterion weights evaluated interval numbers and the alternatives evaluated Trapezoidal Grey-Stochastic Numbers (TGSN) on the criterion, a new method based on the Trapezoidal Continuous-interval-argument Ordered Weighted Averaging (TC-OWA) operator was designed. In this method, the TGSN was firstly defined to describe the incomplete certain evaluations of the alternatives on the criterion. On the other hand, according to the characteristics of the Basic Unit-interval Monotonic (BUM) function, the C-OWA operator was extended to the TC-OWA operator. Then, the TGSN were integrated by the TC-OWA operator. Furthermore, with the help of the normalized decision-making matrix and the object weight vector, the comprehensive evaluations of the alternatives were worked out. Finally, the sequence of the alternatives was obtained. The effectiveness and feasibility of the method were verified by an example.

Key words: grey-stochastic multi-criterion, decision-making, trapezoidal grey-stochastic number, trapezoidal continuous-interval-argument, ordered weighted averaging operator, basic unit-interval, monotonic function