关键词: 无线传感器系统选择, 犹豫模糊语言集, 前景理论, 证据理论, 多属性决策

Abstract: Wireless sensor system selection is an important issue in wireless sensor management, and essentially is a Multi-Attribute Decision-Making（MADM） problem. In view of the wireless sensor selection problem under the hesitant fuzzy linguistic environment, a novel hesitant fuzzy linguistic MADM method is proposed on the basis of the prospect theory and Dempster-Shafer theory. First, the probability of the states are determined by using Dempster-Shafer theory, and the decision making weight functions of the states are derived. Then, based on the normal distribution probability density function, the hesitant fuzzy linguistic reference point is constructed. With the difference between the attribute values and the reference point, the value function matrices and the prospect value matrix are obtained. Furthermore, an optimization model is investigated to derive the attribute weights with the principle of maximizing the comprehensive prospect value, and all the wireless sensor systems are ordered. Finally, the proposed method is applied to research the wireless sensor system selection to demonstrate its rationality and effectiveness.

Key words: wireless sensor system selection, hesitant fuzzy linguistic set, prospect theory, Dempster-Shafer theory, multi-attribute decision making