Stochastic multiple criteria decision making with criteria 2-tuple aspirations

As an important area of multiple criteria decision making, stochastic multiple criteria decision making (SMCDM) with criteria 2-tuple aspirations comes to the fore because of its wide applications. The criterion 2-tuple aspiration is the criterion aspiration with a pair of values, including target value and probability level. That is, the decision maker provides not only the target value which the criteria values should meet, but also the probability level where the criteria values meet the target value. However, 2-tuple aspirations of criteria are not considered in existing SMCDM methods. In this paper, with respect to the SMCDM problem with criteria 2-tuple aspirations, a novel decision analysis method is proposed. To begin with, the definition of 2-tuple aspiration and its three types of expression are outlined. Then, the satisfaction degree functions are constructed so as to calculate the satisfaction degrees of alternatives associated with criteria 2-tuple aspirations. In order to rank alternatives or to select the most desirable alternative, two aspects, the satisfaction degrees of alternatives associated with criteria 2-tuple aspirations and the expected values of alternatives, are to be considered. Further, according to overall satisfaction degrees and overall expected values, based on TOPSIS method, the relative closeness of alternatives is calculated to obtain the ranking results. The proposed method aims to provide an effective tool for solving SMCDM problem with criteria 2-tuple aspirations. Finally, an example is given to illustrate the feasibility and validity of the proposed method.