2-tuple Linguistic Fuzzy Stochastic MAGDM Method Based on Prospect Theory and Cloud Model

This paper presents a new approach to solving the fuzzy stochastic multi attributes group decision-making (MAGDM) problem where the attributes values take 2-tuple linguistic form. First, a 2-tuple hybrid ordered weighted geometric (THOWG) operator is developed and all the individual preference values are aggregated into the comprehensive preference values. Then, by applying generating cloud method, a comprehensive preference value is converted into a normal cloud. Consequently, the cloud prospect decision matrix is constructed by defining a cloud distance, cloud possibility degree and cloud prospect value function. Furthermore, we establish a programming model which satisfies maximum integrated cloud prospect value, attain the attributes weights, and consequently list the order of alternatives. Finally, an example is illustrated to verify the developed approach.