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

摘要： 无线传感器系统的选择是无线传感器管理中的一个重要课题，其本质是一个多属性决策问题。针对犹豫模糊语言环境下无线传感器的选择问题，基于前景理论和证据理论的思想，提出一种新的犹豫模糊语言多属性决策方法。该决策方法首先利用证据理论确定各自然状态发生的概率，进而得到每种状态发生的决策权重函数；其次，运用正态分布概率密度函数构建犹豫模糊语言决策参考点，并基于属性值与决策参考点之间的距离计算价值函数矩阵，从而获得前景价值矩阵；进一步构建以综合前景价值最大化为目标函数的最优化模型求解属性权重，并依据各无线传感器系统的综合前景价值进行优劣排序。通过对无线传感器系统的选择实例验证提出的决策方法的可行性与有效性。

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